Alexei F. Cheviakov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Invariant Reduction for Partial Differential Equations. II: The General Mechanism	2025	Kostya Druzhkov Alexei F. Cheviakov
+ PDF Chat	Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics	2025	Maryam Ahmadpoortorkamani Alexei F. Cheviakov
+ PDF Chat	Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables	2024	Kostya Druzhkov Alexei F. Cheviakov
+ PDF Chat	Spatiotemporal Behaviour of SIR Models with Cross-Diffusion and Vital Dynamics	2024	Maryam Ahmadpoortorkamani Alexei F. Cheviakov
+	The relationship between two approximate symmetry frameworks	2024	Kostya Druzhkov Alexei F. Cheviakov
+	Analytical Properties of Nonlinear Partial Differential Equations	2024	Alexei F. Cheviakov Peng Zhao
+	Integrability and Other Analytical Properties of Nonlinear PDE Systems	2024	Alexei F. Cheviakov Peng Zhao
+	Optimization of Trap Locations for Narrow Capture Problems	2024	Alexei F. Cheviakov Michael J. Ward
+ PDF Chat	New exact plasma equilibria with axial and helical symmetry	2023	Jason M. Keller Alexei F. Cheviakov
+	Galilei-invariant and energy-preserving extensions of Benjamin–Bona–Mahony-type equations	2023	Alexei F. Cheviakov Denys Dutykh
+ PDF Chat	Two approximate symmetry frameworks for nonlinear partial differential equations with a small parameter: Comparisons, relations, approximate solutions	2022	Mahmood R. Tarayrah Brian Pitzel Alexei F. Cheviakov
+ PDF Chat	Global optimisation of the mean first passage time for narrow capture problems in elliptic domains	2022	Jason A. Gilbert Alexei F. Cheviakov
+	New Exact Plasma Equilibria with Axial and Helical Symmetry	2022	Jason M. Keller Alexei F. Cheviakov
+	On the Hill's Spherical Vortex in Fluid and Plasma, its Generalization, and Stability	2022	Jason M. Keller Alexei F. Cheviakov
+	A Method for Random Packing of Spheres with Application to Bonding Modeling in Powder Bed 3D Printing Process	2022	Travis J. Black Alexei F. Cheviakov
+	Brownian dynamics simulations for the narrow escape problem in the unit sphere	2021	Vaibhava Srivastava Alexei F. Cheviakov
+ PDF Chat	Relationship between Unstable Point Symmetries and Higher-Order Approximate Symmetries of Differential Equations with a Small Parameter	2021	Mahmood R. Tarayrah Alexei F. Cheviakov
+	Narrow Escape Brownian Dynamics Modeling in the Three-Dimensional Unit Sphere	2021	Vaibhava Srivastava Alexei F. Cheviakov
+ PDF Chat	On Galilean Invariant and Energy Preserving BBM-Type Equations	2021	Alexei F. Cheviakov Denys Dutykh Aydar Assylbekuly
+	Global Optimization of the Mean First Passage Time for Narrow Capture Problems in Elliptic Domains	2021	Jason A. Gilbert Alexei F. Cheviakov
+	On Exact and Approximate Symmetries of Algebraic and Ordinary Differential Equations with a Small Parameter	2021	Mahmood R. Tarayrah Alexei F. Cheviakov
+	Narrow Escape Brownian Dynamics Modeling in the Three-Dimensional Unit Sphere	2021	Vaibhava Srivastava Alexei F. Cheviakov
+	Global Optimization of the Mean First Passage Time for Narrow Capture Problems in Elliptic Domains	2021	Jason A. Gilbert Alexei F. Cheviakov
+ PDF Chat	Radial waves in fiber-reinforced axially symmetric hyperelastic media	2020	Alexei F. Cheviakov Caylin Lee R. Naz
+ PDF Chat	On the different types of global and local conservation laws for partial differential equations in three spatial dimensions: Review and recent developments	2020	Stephen C. Anco Alexei F. Cheviakov
+ PDF Chat	Invariant conservation law-preserving discretizations of linear and nonlinear wave equations	2020	Alexei F. Cheviakov В. А. Дородницын Е. И. Капцов
+	Variational symmetries and conservation laws of the wave equation in one space dimension	2020	Roman O. Popovych Alexei F. Cheviakov
+	Invariant Conservation Law-Preserving Discretizations of Linear and Nonlinear Wave Equations	2020	Alexei F. Cheviakov В. А. Дородницын Е. И. Капцов
+ PDF Chat	Locally and globally optimal configurations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> particles on the sphere with applications in the narrow escape and narrow capture problems	2019	Wesley J.M. Ridgway Alexei F. Cheviakov
+	Radial waves in fiber-reinforced axially symmetric hyperelastic media	2019	Alexei F. Cheviakov Caylin Lee R. Naz
+ PDF Chat	Nonlinear dynamics of a viscous bubbly fluid	2019	Ryan J. Thiessen Alexei F. Cheviakov
+	Globally optimal volume-trap arrangements for the narrow-capture problem inside a unit sphere	2019	Jason A. Gilbert Alexei F. Cheviakov
+	Radial waves in fiber-reinforced axially symmetric hyperelastic media	2019	Alexei F. Cheviakov Caylin Lee R. Naz
+ PDF Chat	A solution set-based entropy principle for constitutive modeling in mechanics	2018	Julian Heß Alexei F. Cheviakov
+	An iterative procedure for finding locally and globally optimal arrangements of particles on the unit sphere	2018	Wesley J.M. Ridgway Alexei F. Cheviakov
+	On the different types of global and local conservation laws for partial differential equations in three spatial dimensions	2018	Stephen C. Anco Alexei F. Cheviakov
+	On the different types of global and local conservation laws for partial differential equations in three spatial dimensions: review and recent developments.	2018	Stephen C. Anco Alexei F. Cheviakov
+	On the different types of global and local conservation laws for partial differential equations in three spatial dimensions: review and recent developments	2018	Stephen C. Anco Alexei F. Cheviakov
+ PDF Chat	A symbolic computation framework for constitutive modelling based on entropy principles	2017	Alexei F. Cheviakov Julian Heß
+	Nonlinear Dynamics of Viscous Bubbly Fluids: a One-Dimensional Flow Model	2017	Ryan J. Thiessen Alexei F. Cheviakov
+	Nonlinear Dynamics of a Viscous Bubbly Fluid.	2017	Ryan J. Thiessen Alexei F. Cheviakov
+	Conservation Laws and Nonlocally Related Systems of Two-Dimensional Boundary Layer Models	2017	R. Naz Alexei F. Cheviakov
+ PDF Chat	Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models	2017	Alexei F. Cheviakov
+	A Symbolic Computation Framework for Constitutive Modelling Based On Entropy Principles	2017	Alexei F. Cheviakov Julian Heß
+	Nonlinear Dynamics of a Viscous Bubbly Fluid	2017	Ryan J. Thiessen Alexei F. Cheviakov
+	Corrigendum to: “A Matlab-based finite difference solver for the Poisson problem with mixed Dirichlet–Neumann boundary conditions” [Comput. Phys. Comm. 184(3) (2013) 783–798]	2016	A. S. Reimer Alexei F. Cheviakov
+	Exact Solutions of a Fully Nonlinear Two-Fluid Model	2016	Alexei F. Cheviakov
+	Exact Solutions of a Fully Nonlinear Two-Fluid Model	2016	Alexei F. Cheviakov
+	On new stability modes of plane canonical shear flows using symmetry classification	2015	Andreas Nold Martin Oberlack Alexei F. Cheviakov
+	Conservation properties and potential systems of vorticity-type equations	2014	Alexei F. Cheviakov
+	Symbolic Computation of Nonlocal Symmetries and Nonlocal Conservation Laws of Partial Differential Equations Using the GeM Package for Maple	2014	Alexei F. Cheviakov
+	Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>N</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>conjecture	2013	Alexei F. Cheviakov Daniel Zawada
+ PDF Chat	Advances in Lie Groups and Applications in Applied Sciences	2013	Teoman Özer Alexei F. Cheviakov Shi Weichen N. G. Migranov T. Raja Sekhar Emrullah Yaşar
+	Systematic Construction of Conservation Laws of Nonlinear Partial Dierential equations	2012	Alexei F. Cheviakov
+	A Maple-based Package for Computation of Conservation Laws, Symmetries and Invariant forms of DEs	2011	Alexei F. Cheviakov
+	Direct Method of Construction of Conservation Laws for Nonlinear Dierential Equations, its Relation with Noether's Theorem, Applications, and Symbolic Software	2011	Alexei F. Cheviakov
+	Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems	2010	Alexei F. Cheviakov George W. Bluman
+ PDF Chat	Symbolic Computation of Local Symmetries of Nonlinear and Linear Partial and Ordinary Differential Equations	2010	Alexei F. Cheviakov
+	On locally and nonlocally related potential systems	2010	Alexei F. Cheviakov George W. Bluman
+ PDF Chat	Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps	2010	Alexei F. Cheviakov Michael J. Ward
+ PDF Chat	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere	2010	Alexei F. Cheviakov Michael J. Ward Ronny Straube
+	Applications of Symmetry Methods to Partial Differential Equations	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco
+	Construction of Mappings Relating Differential Equations	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco
+ PDF Chat	Computation of fluxes of conservation laws	2009	Alexei F. Cheviakov
+	Construction of conservation laws: how the direct method generalizes Noether's theorem	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco
+	Computation of fluxes of conservation laws	2009	Alexei F. Cheviakov
+ PDF Chat	A two-dimensional metastable flame-front and a degenerate spike-layer problem	2007	Alexei F. Cheviakov Michael J. Ward
+ PDF Chat	Analytical properties and exact solutions of static plasma equilibrium systems in three dimensions	2007	Alexei F. Cheviakov Stephen C. Anco
+ PDF Chat	Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation	2006	George W. Bluman Alexei F. Cheviakov
+ PDF Chat	Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples	2006	George W. Bluman Alexei F. Cheviakov Nataliya M. Ivanova
+	GeM software package for computation of symmetries and conservation laws of differential equations	2006	Alexei F. Cheviakov
+	Point symmetries of 3D static plasma equilibrium systems: comparison and applications	2005	Alexei F. Cheviakov
+	Exact anisotropic MHD equilibria	2004	Alexei F. Cheviakov Oleg I. Bogoyavlenskij
+	Plasma equilibrium equations in coordinates connected with magnetic surfaces. Exact equilibrium solutions	2004	Alexei F. Cheviakov
+	Infinite-dimensional B\"{a}cklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria	2002	Alexei F. Cheviakov
+	Lie Group analysis of Plasma equilibrium equations	2002	Alexei F. Cheviakov
+	Infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria	2002	Alexei F. Cheviakov

Common Coauthors

Coauthor	Papers Together
Stephen C. Anco	8
George W. Bluman	7
Jason A. Gilbert	4
R. Naz	4
Ryan J. Thiessen	4
Michael J. Ward	4
Mahmood R. Tarayrah	3
Jason M. Keller	3
Julian Heß	3
Vaibhava Srivastava	3
Caylin Lee	3
K. P. Druzhkov	3
Peng Zhao	2
Denys Dutykh	2
Wesley J.M. Ridgway	2
В. А. Дородницын	2
Е. И. Капцов	2
Maryam Ahmadpoortorkamani	2
Emrullah Yaşar	1
Daniel Zawada	1
Roman O. Popovych	1
Shi Weichen	1
N. G. Migranov	1
Travis J. Black	1
Oleg I. Bogoyavlenskij	1
Aydar Assylbekuly	1
Н. М. Иванова	1
Andreas Nold	1
Martin Oberlack	1
Teoman Özer	1
Ronny Straube	1
A. S. Reimer	1
Brian Pitzel	1
T. Raja Sekhar	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Applications of Symmetry Methods to Partial Differential Equations	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco	23
+	GeM software package for computation of symmetries and conservation laws of differential equations	2006	Alexei F. Cheviakov	21
+	Direct Construction of Conservation Laws from Field Equations	1997	Stephen C. Anco George W. Bluman	18
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver	16
+ PDF Chat	Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples	2006	George W. Bluman Alexei F. Cheviakov Nataliya M. Ivanova	16
+ PDF Chat	A comparison of four approaches to the calculation of conservation laws	2002	Thomas Wolf	11
+ PDF Chat	Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications	2002	Stephen C. Anco George W. Bluman	11
+ PDF Chat	Computation of fluxes of conservation laws	2009	Alexei F. Cheviakov	11
+ PDF Chat	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere	2010	Alexei F. Cheviakov Michael J. Ward Ronny Straube	10
+ PDF Chat	Symbolic Computation of Local Symmetries of Nonlinear and Linear Partial and Ordinary Differential Equations	2010	Alexei F. Cheviakov	10
+ PDF Chat	Direct construction method for conservation laws of partial differential equations Part II: General treatment	2002	Stephen C. Anco George W. Bluman	10
+ PDF Chat	Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws	2008	Stephen C. Anco George W. Bluman Thomas Wolf	9
+ PDF Chat	Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models	2017	Alexei F. Cheviakov	9
+	An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains	2010	Samara Pillay M. J. Ward Anthony Peirce Théodore Kolokolnikov	9
+	Construction of conservation laws: how the direct method generalizes Noether's theorem	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco	8
+	Applications of Lie Groups to Differential Equations	1986	Peter J. Olver	7
+ PDF Chat	Potential conservation laws	2008	Michael Kunzinger Roman O. Popovych	7
+ PDF Chat	Nonlocally related systems, linearization and nonlocal symmetries for the nonlinear wave equation	2006	George W. Bluman Alexei F. Cheviakov	7
+	Symmetries and Differential Equations	1989	George W. Bluman Sukeyuki Kumei	7
+	On invariance properties of the wave equation	1987	George W. Bluman Sukeyuki Kumei	7
+	Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>N</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>conjecture	2013	Alexei F. Cheviakov Daniel Zawada	7
+ PDF Chat	Applications of Lie Groups to Differential Equations	1993	Peter J. Olver	6
+ PDF Chat	Potential symmetries of the nonlinear wave equation<i>u</i><sub><i>tt</i></sub>= (<i>uu</i><sub><i>x</i></sub>)<sub><i>x</i></sub>and related exact and approximate solutions	2001	Georgy I. Burde	6
+ PDF Chat	The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations	2016	Andy T. S. Wan Alexander Bihlo Jean‐Christophe Nave	6
+ PDF Chat	Narrow Escape, Part II: The Circular Disk	2006	Amit Singer Z. Schuss David Holcman	6
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax	6
+ PDF Chat	Conservation laws of scaling-invariant field equations	2003	Stephen C. Anco	6
+ PDF Chat	Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps	2010	Alexei F. Cheviakov Michael J. Ward	6
+ PDF Chat	The stability of solitary waves	1972	T. Brooke Benjamin	6
+ PDF Chat	Conservation laws of inviscid non-isentropic compressible fluid flow in <i>n</i> > 1 spatial dimensions	2010	Stephen C. Anco Amanullah Dar	5
+	Computer Algebra Handbook	2003	Johannes Grabmeier Erich Kaltofen Volker Weispfenning	5
+	Group Analysis of Differential Equations.	1985	Willard Miller Л.В. Овсянников	5
+	On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter	1989	W. I. Fushchich W. M. Shtelen	5
+	Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems	2010	Alexei F. Cheviakov George W. Bluman	5
+	Symmetry and integration methods for differential equations	2004	George W. Bluman Stephen C. Anco	4
+ PDF Chat	Connections Between Symmetries and Conservation Laws	2005	George W. Bluman	4
+	Handbook of Global Optimization	1995	Reiner Horst Pãnos M. Pardalos	4
+ PDF Chat	Symmetries, Conservation Laws, and Cohomology of Maxwell's Equations Using Potentials	2005	Stephen C. Anco Dennis The	4
+ PDF Chat	Asymptotic Conservation Laws in Classical Field Theory	1996	Ian Anderson Charles G Torre	4
+ PDF Chat	Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations	2017	Stephen C. Anco	4
+ PDF Chat	Narrow escape and leakage of Brownian particles	2008	Amit Singer Z. Schuss David Holcman	4
+ PDF Chat	First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps	2017	Alan E. Lindsay Andrew J. Bernoff Michael J. Ward	4
+	Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws	2005	Willy Hereman Michael Colagrosso Ryan Sayers A. T. Ringler Bernard Deconinck Michael Nivala Mark S. Hickman	4
+ PDF Chat	Analytical properties and exact solutions of static plasma equilibrium systems in three dimensions	2007	Alexei F. Cheviakov Stephen C. Anco	4
+	Exact solutions for wave equations of two-layered media with smooth transition	1988	George W. Bluman Sukeyuki Kumei	4
+	Exact anisotropic MHD equilibria	2004	Alexei F. Cheviakov Oleg I. Bogoyavlenskij	4
+	Reduction of systems of nonlinear partial differential equations to simplified involutive forms	1996	Gregory J. Reid Allan Wittkopf Alan Boulton	4
+ PDF Chat	Locally and globally optimal configurations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math> particles on the sphere with applications in the narrow escape and narrow capture problems	2019	Wesley J.M. Ridgway Alexei F. Cheviakov	4
+	Review of symbolic software for lie symmetry analysis	1997	Willy Hereman	3
+	Complex Systems: Equilibrium Configurations of <i>N</i> Equal Charges on a Sphere (2 ≤ <i>N</i> ≥ 112)	1997	T. Erber G. Hockney	3