S. V. Manakov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Integrable dispersionless PDEs arising as commutation condition of pairs of vector fields	2014	S. V. Manakov P. Santini
+	Wave breaking in solutions of the dispersionless kadomtsev-petviashvili equation at a finite time	2012	S. V. Manakov P. Santini
+ PDF Chat	Опрокидывание волн в решениях бездисперсионного уравнения Кадомцева - Петвиашвили при конечных временах	2012	S. V. Manakov S. V. Manakov P. M. Santini P. M. Santini P. Santini P. Santini
+ PDF Chat	On the dispersionless Kadomtsev–Petviashvili equation in<i>n</i>+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking	2011	S. V. Manakov P. Santini
+ PDF Chat	Solvable vector nonlinear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking	2011	S. V. Manakov P. Santini
+ PDF Chat	On the solutions of the second heavenly and Pavlov equations	2009	S. V. Manakov P. Santini
+ PDF Chat	The dispersionless 2D Toda equation: dressing, Cauchy problem, longtime behaviour, implicit solutions and wave breaking	2009	S. V. Manakov P. Santini
+ PDF Chat	On the solutions of the dKP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking	2008	S. V. Manakov P. Santini
+	The dispersionless 2D Toda equation: dressing, Cauchy problem, longtime behavior, implicit solutions and wave breaking	2008	S. V. Manakov P. M. Santini
+ PDF Chat	Dunajski generalization of the second heavenly equation: dressing method and the hierarchy	2007	L. V. Bogdanov Valerii Dryuma S. V. Manakov
+	A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields	2007	S. V. Manakov P. M. Santini
+ PDF Chat	Иерархия интегрируемых уравнений в частных производных в размерности $2+1$, ассоциированная с однопараметрическими семействами одномерных векторных полей	2007	S. V. Manakov S. V. Manakov P. M. Santini P. M. Santini
+ PDF Chat	Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation	2006	S. V. Manakov P. M. Santini
+ PDF Chat	Cauchy problem on the plane for the dispersionless Kadomtsev-Petviashvili equation	2006	S. V. Manakov P. M. Santini
+	The Cauchy Problem on the Plane for the Dispersionless Kadomtsev - Petviashvili Equation	2006	S. V. Manakov P. Santini
+	A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields	2006	S. V. Manakov P. M. Santini Aldo Moro
+	On the dressing method for Dunajski anti-self-duality equation	2006	L. V. Bogdanov Valerii Dryuma S. V. Manakov
+	Inverse Scattering Problem for Vector Fields and the Heavenly Equation	2005	S. V. Manakov P. Santini
+	Integrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations 1	2005	A. Degasperis S. V. Manakov P. Santini
+	Initial-Boundary Value Problems for Linear PDES: The Analyticity Approach	2004	A. Degasperis S. V. Manakov P. Santini
+	None	2002	A. Degasperis S. V. Manakov P. Santini
+	Initial-Boundary Value Problems for Linear and Soliton PDEs	2002	A. Degasperis S. V. Manakov P. Santini
+	Initial-boundary value problems for linear PDEs: the analyticity approach	2002	A. Degasperis S. V. Manakov P. Santini
+	On the initial-boundary value problems for soliton equations	2001	A. Degasperis S. V. Manakov P. M. Santini
+	Multidimensional soliton equations in inhomogeneous media	1998	A. Degasperis S. V. Manakov A. I. Zenchuk
+	Multiple-scale perturbation beyond the nonlinear Schroedinger equation. I	1997	A. Degasperis S. V. Manakov P. M. Santini
+	Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method	1996	В. Е. Захаров S. V. Manakov
+	Dual 1490-11490-11490-1-problem, (2+1)-dimensional intergrable nonlinear evolution equations and their reductions	1995	A. I. Zenchuk S. V. Manakov
+	The dressing method, symmetries, and invariant solutions	1990	A. S. Fokas S. V. Manakov
+	On the boundary conditions of the Davey-Stewartson equation	1990	Mark J. Ablowitz S. V. Manakov Cherie L. Schultz
+	On the Boundary Conditions of the Davey-Stewartson Equation	1990	Mark J. Ablowitz C. L. Shultz S. V. Manakov
+	The non-local delta problem and (2+1)-dimensional soliton equations	1988	L. V. Bogdanov S. V. Manakov
+	Complete integrability of the KP equations	1987	V. Bakuzov R. Bullough Zhi Jiang S. V. Manakov
+	The inverse spectral problem for the two-dimensional Schroedinger operator	1987	S. V. Manakov P. G. Grinevich
+	Nonlocal problems of complex analysis and related nonlinear equations	1987	S. V. Manakov L. V. Bogdanov
+	Complete integrability of the Kadomtsev-Petviashvili equations in 2 + 1 dimensions	1986	Zhuhan Jiang R. Bullough S. V. Manakov
+	Inverse scattering problem for the two-dimensional Schr�dinger operator, the $$\bar \partial$$ -method and nonlinear equations	1986	P. G. Grinevich S. V. Manakov
+ PDF Chat	Multidimensional nonlinear integrable systems and methods for constructing their solutions	1985	В. Е. Захаров S. V. Manakov
+	Construction of higher-dimensional nonlinear integrable systems and of their solutions	1985	В. Е. Захаров S. V. Manakov
+	Adiabatic invariants theory of near-integrable systems with damping	1982	R. Bullough Allan P. Fordy S. V. Manakov
+	Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)	1980	S. V. Manakov P. M. Santini Leon A. Takhtajan
+	Example of a completely integrable nonlinear wave field with nontrivial dynamics (lee model)	1976	S. V. Manakov
+	Comparison of the exact quantum and quasiclassical results for a nonlinear Schr�dinger equation	1976	P. P. Kulish S. V. Manakov Lyudvig Dmitrievich Faddeev
+	Asymptotic behavior of nonlinear wave systems integrated by the method of the inverse scattering problem	1976	В. Е. Захаров S. V. Manakov
+	Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method	1976	В. Е. Захаров S. V. Manakov
+	Generalization of the inverse scattering problem method	1976	В. Е. Захаров S. V. Manakov
+	Complete integrability and stochastization of discrete dynamical systems	1974	S. V. Manakov
+	On the complete integrability of a nonlinear Schr�dinger equation	1974	В. Е. Захаров S. V. Manakov

Common Coauthors

Coauthor	Papers Together
P. Santini	15
P. M. Santini	10
A. Degasperis	8
В. Е. Захаров	7
L. V. Bogdanov	4
R. Bullough	3
Valerii Dryuma	2
Mark J. Ablowitz	2
A. I. Zenchuk	2
P. G. Grinevich	2
C. L. Shultz	1
Lyudvig Dmitrievich Faddeev	1
A. S. Fokas	1
Aldo Moro	1
Cherie L. Schultz	1
Leon A. Takhtajan	1
V. Bakuzov	1
Allan P. Fordy	1
Zhuhan Jiang	1
Zhi Jiang	1
P. P. Kulish	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some solutions of complex Einstein equations	1975	Jerzy Plebański	13
+ PDF Chat	Einstein–Weyl geometry, the dKP equation and twistor theory	2001	Maciej Dunajski Lionel Mason Paul Tod	12
+ PDF Chat	Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation	2006	S. V. Manakov P. M. Santini	12
+	The τ‐function of the universal whitham hierarchy, matrix models and topological field theories	1994	I. M. Krichever	12
+ PDF Chat	Cauchy problem on the plane for the dispersionless Kadomtsev-Petviashvili equation	2006	S. V. Manakov P. M. Santini	11
+ PDF Chat	INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT	1995	Kanehisa Takasaki Takashi Takebe	9
+ PDF Chat	On the Integrability of (2+1)-Dimensional Quasilinear Systems	2004	E. V. Ferapontov К. Р. Хуснутдинова	9
+ PDF Chat	On twistor solutions of the dKP equation	2003	Francisco Guil Manuel Ma as Luis Martı́nez Alonso	9
+	Dispersionless Limit of Integrable Systems in 2 + 1 Dimensions	1994	В. Е. Захаров	9
+ PDF Chat	The $\bar{\partial}$-approach to the dispersionless KP hierarchy	2001	B. G. Konopelchenko Luis Martı́nez Alonso O. Ragnisco	9
+ PDF Chat	Integrable hydrodynamic chains	2003	M. V. Pavlov	8
+	Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II	1979	В. Е. Захаров A. B. Shabat	8
+ PDF Chat	Hyper-Kähler Hierarchies and Their Twistor Theory	2000	Maciej Dunajski Lionel Mason	7
+ PDF Chat	A class of Einstein–Weyl spaces associated to an integrable system of hydrodynamic type	2004	Maciej Dunajski	7
+ PDF Chat	On the solutions of the dKP equation: the nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking	2008	S. V. Manakov P. Santini	7
+	Inverse Scattering Problem for Vector Fields and the Heavenly Equation	2005	S. V. Manakov P. Santini	7
+ PDF Chat	On the -dressing method applicable to heavenly equation	2005	L. V. Bogdanov B. G. Konopelchenko	6
+	Integrable systems in multidimensional spaces	2008	В. Е. Захаров	6
+ PDF Chat	Twistor theory of hyper-Kähler metrics with hidden symmetries	2003	Maciej Dunajski Lionel Mason	6
+ PDF Chat	Methods of Mathematical Physics, vol. II. Partial Differential Equations	1963	Courant Hilbert	5
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	5
+ PDF Chat	Einstein–Weyl spaces and dispersionless Kadomtsev–Petviashvili equation from Painlevé I and II	2002	Maciej Dunajski Paul Tod	5
+ PDF Chat	Dispersionless integrable equations as coisotropic deformations: Extensions and reductions	2007	B. G. Konopelchenko Франко Магри	5
+	A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields	2006	S. V. Manakov P. M. Santini Aldo Moro	5
+	A hierarchy of integrable partial differential equations in 2+1 dimensions associated with one-parameter families of one-dimensional vector fields	2007	S. V. Manakov P. M. Santini	5
+ PDF Chat	Coisotropic Deformations of Associative Algebras and Dispersionless Integrable Hierarchies	2007	B. G. Konopelchenko Franco Magri	4
+	Killing vectors in self-dual, Euclidean Einstein spaces	1982	Charles P. Boyer J. D. Finley	4
+ PDF Chat	Bubble break-off in Hele–Shaw flows—singularities and integrable structures	2006	Seung-Yeop Lee Eldad Bettelheim P. Wiegmann	4
+	On the Inverse Scattering Transform for the Kadomtsev‐Petviashvili Equation	1983	Mark J. Ablowitz D. Bar Yaacov A. S. Fokas	4
+	The classification of all ℋ spaces admitting a Killing vector	1979	J. D. Finley Jerzy Plebański	4
+	A simple model of the integrable Hamiltonian equation	1978	Franco Magri	4
+ PDF Chat	Towards a Theory of Differential Constraints of a Hydrodynamic Hierarchy	2003	Luis Martı́nez Alonso A. B. Shabat	4
+ PDF Chat	SDiff(2) Toda equation — Hierarchy, Tau function, and symmetries	1991	Kanehisa Takasaki Takashi Takebe	4
+	On the integrability of linear and nonlinear partial differential equations	2000	A. S. Fokas	4
+ PDF Chat	Recursion operators and bi-Hamiltonian structures in multidimensions. I	1988	P. M. Santini A. S. Fokas	4
+ PDF Chat	Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains	2005	I. M. Krichever A. Marshakov A. Zabrodin	4
+ PDF Chat	Multi-Hamiltonian structure of Plebanski's second heavenly equation	2005	F. Neyzi Y. Nutku M. B. Sheftel	4
+ PDF Chat	On the dispersionless Kadomtsev–Petviashvili equation in<i>n</i>+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking	2011	S. V. Manakov P. Santini	4
+ PDF Chat	Dunajski generalization of the second heavenly equation: dressing method and the hierarchy	2007	L. V. Bogdanov Valerii Dryuma S. V. Manakov	4
+	Unimodal germs of functions on a manifold with a boundary	1980	V. I. Matov	3
+ PDF Chat	An interpolating dispersionless integrable system	2008	Maciej Dunajski	3
+	Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev–Petviashvili equation	2013	P. G. Grinevich P. M. Santini	3
+	On the complete integrability of a nonlinear Schr�dinger equation	1974	В. Е. Захаров S. V. Manakov	3
+	Method of Solution for a Class of Multidimensional Nonlinear Evolution Equations	1983	A. S. Fokas Mark J. Ablowitz	3
+	A unified transform method for solving linear and certain nonlinear PDEs	1997	A. S. Fokas	3
+	Regularization of Hele-Shaw flows, multiscaling expansions and the Painleve I equation	2007	Luis Martı́nez Alonso Елена Медина	3
+	Construction of higher-dimensional nonlinear integrable systems and of their solutions	1985	В. Е. Захаров S. V. Manakov	3
+	Elbow scattering and inverse scattering applications to LKdV and KdV	2000	Pierre Sabatier	3
+	Soliton generation for initial-boundary-value problems	1992	A. S. Fokas A. R. Its	3
+	Stationary Riemannian space-times with self-dual curvature	1984	J. Gegenberg A. Das	3