Jacek Szmigielski

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All published works

Action	Title	Year	Authors
+	Quantization and Symmetry	2024	Jacek Szmigielski
+	Preface to the special issue: Orthogonal polynomials and integrable systems, Peakons, Toda lattices and Painlevé transcendents	2023	Xiang‐Ke Chang Xing‐Biao Hu Jacek Szmigielski
+	On the multipeakon system of a two-component Novikov equation	2023	Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	A 2‐component Camassa‐Holm Equation, Euler‐Bernoulli Beam Problem, and Noncommutative Continued Fractions	2022	Richard Beals Jacek Szmigielski
+	A view of the peakon world through the lens of approximation theory	2022	Hans Lundmark Jacek Szmigielski
+ PDF Chat	The Calogero-Franc¸oise Integrable System: Algebraic Geometry, Higgs Fields, and the Inverse Problem	2020	Steven Rayan Thomas Stanley Jacek Szmigielski
+	A 2-component Camassa-Holm equation, Euler-Bernoulli Beam Problem and Non-Commutative Continued Fractions	2020	Richard Beals Jacek Szmigielski
+ PDF Chat	Vibrations of an elastic bar, isospectral deformations, and modified Camassa-Holm equations	2019	Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	Isospectral Flows Related to Frobenius–Stickelberger–Thiele Polynomials	2019	Xiang‐Ke Chang Xing‐Biao Hu Jacek Szmigielski Alexei Zhedanov
+	Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation	2019	G. López Lagomasino S. Medina Peralta Jacek Szmigielski
+	Vibrations of an elastic bar, isospectral deformations, and modified Camassa-Holm equations	2019	Xiang‐Ke Chang Jacek Szmigielski
+	The dynamics of conservative peakons in a family of <i>U</i>(1)‐invariant integrable equations of NLS‐Hirota type	2018	Stephen C. Anco Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	Isospectral Flows for the Inhomogeneous String Density Problem	2018	A. Z. Górski Jacek Szmigielski
+ PDF Chat	Lax Integrability and the Peakon Problem for the Modified Camassa–Holm Equation	2018	Xiang‐Ke Chang Jacek Szmigielski
+	Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation	2018	G. López Lagomasino S. Medina Peralta Jacek Szmigielski
+ PDF Chat	Liouville Integrability of Conservative Peakons for a Modified CH equation	2017	Xiang‐Ke Chang Jacek Szmigielski
+	Liouville integrability of conservative peakons for a modified CH equation	2017	Xiang‐Ke Chang Jacek Szmigielski
+	The dynamics of conservative peakons in the NLS hierarchy	2017	Stephen C. Anco Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	Dynamics of interlacing peakons (and shockpeakons) in the Geng–Xue equation	2017	Hans Lundmark Jacek Szmigielski
+ PDF Chat	Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons	2016	Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	On Isospectral Deformations of an Inhomogeneous String	2016	Kale Colville Daniel Gomez Jacek Szmigielski
+ PDF Chat	An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation	2016	Hans Lundmark Jacek Szmigielski
+	Multipeakons of a two-component modified Camassa–Holm equation and the relation with the finite Kac–van Moerbeke lattice	2016	Xiang‐Ke Chang Xing‐Biao Hu Jacek Szmigielski
+	Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons	2016	Xiang‐Ke Chang Jacek Szmigielski
+	Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice	2015	Xiang‐Ke Chang Xing‐Biao Hu Jacek Szmigielski
+	An inverse problem for the modified Camassa-Holm equation and multi-point Padé approximants	2015	Xiang‐Ke Chang Jacek Szmigielski
+ PDF Chat	Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field	2013	Marco Bertola M. Gekhtman Jacek Szmigielski
+	Meijer G-Functions: A Gentle Introduction	2013	Richard Beals Jacek Szmigielski
+ PDF Chat	Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model	2013	Marco Bertola M. Gekhtman Jacek Szmigielski
+ PDF Chat	The Canada Day Theorem	2013	Daniel Gomez Hans Lundmark Jacek Szmigielski
+	Peakon-antipeakon interactions in the Degasperis-Procesi equation	2013	Jacek Szmigielski Lingjun Zhou
+	Shock creation and Painlevé property of colliding peakons in the Degasperis-Procesi Equation	2013	Jacek Szmigielski Lingjun Zhou
+	Peakon-antipeakon interactions in the Degasperis-Procesi Equation	2013	Jacek Szmigielski Lingjun Zhou
+	The Canada Day Theorem	2012	Daniel Gomez Hans Lundmark Jacek Szmigielski
+	The Canada Day Theorem	2012	Daniel R. Gomez Hans Lundmark Jacek Szmigielski
+ PDF Chat	On an inverse problem associated with an integrable equation of Camassa–Holm type: explicit formulas on the real axis	2011	Keivan Mohajer Jacek Szmigielski
+ PDF Chat	Cubic string boundary value problems and Cauchy biorthogonal polynomials	2009	Marco Bertola M. Gekhtman Jacek Szmigielski
+ PDF Chat	Cauchy biorthogonal polynomials	2009	Marco Bertola M. Gekhtman Jacek Szmigielski
+	Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation	2009	Andrew N. W. Hone Hans Lundmark Jacek Szmigielski
+	The Cauchy Two-Matrix Model	2009	Marco Bertola M. Gekhtman Jacek Szmigielski
+	Cauchy Biorthogonal Polynomials	2009	Marco Bertola M. Gekhtman Jacek Szmigielski
+ PDF Chat	Explicit multipeakon solutions of Novikov’s cubically nonlinear integrable Camassa–Holm type equation	2009	Andrew N. W. Hone Hans Lundmark Jacek Szmigielski
+	Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation	2009	Andrew N. W. Hone Hans Lundmark Jacek Szmigielski
+ PDF Chat	Continuous and Discontinuous Piecewise Linear Solutions of the Linearly Forced Inviscid Burgers Equation	2008	Hans Lundmark Jacek Szmigielski
+	Peakons and Cauchy Biorthogonal Polynomials	2007	Marco Bertola M. Gekhtman Jacek Szmigielski
+ PDF Chat	The inverse spectral problem for the discrete cubic string	2006	Jennifer Kohlenberg Hans Lundmark Jacek Szmigielski
+	PERIODIC PEAKONS AND CALOGERO–FRANÇOISE FLOWS	2005	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Degasperis-Procesi peakons and the discrete cubic string	2005	Hans Lundmark Jacek Szmigielski
+ PDF Chat	Multi-peakon solutions of the Degasperis–Procesi equation	2003	Hans Lundmark Jacek Szmigielski
+	None	2002	Richard Beals D. H. Sattinger Jacek Szmigielski
+ PDF Chat	Vertex operator algebras and the representation theory of toroidal algebras	2002	Stephen Berman Yuly Billig Jacek Szmigielski
+	Inverse scattering solutions of the hunter-saxton equation	2001	Richard Beals D. H. Sattinger Jacek Szmigielski
+ PDF Chat	Peakon-Antipeakon Interaction	2001	Richard Beals D. H. Sattinger Jacek Szmigielski
+ PDF Chat	Peakon-Antipeakon Interaction	2001	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Peakons, strings, and the finite Toda lattice	2001	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Vertex operator algebras and the representation theory of toroidal algebras	2001	Stephen Berman Yuly Billig Jacek Szmigielski
+	Peakons, strings, and the finite Toda lattice	2000	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Principal realization for the extended affine Lie algebra of type 𝑠𝑙₂ with coordinates in a simple quantum torus with two generators	1999	Stephen Berman Jacek Szmigielski
+ PDF Chat	Multi-peakons and a theorem of Stieltjes	1999	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Acoustic Scattering and the Extended Korteweg deVries hierarchy	1999	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Multipeakons and the Classical Moment Problem	1999	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy	1998	Richard Beals D. H. Sattinger Jacek Szmigielski
+	Systems of PDEs obtained from factorization in loop groups	1998	Josef F. Dorfmeister H. Gradl Jacek Szmigielski
+	Representations of the Heisenberg algebra by difference operators	1998	A. Z. Górski Jacek Szmigielski
+ PDF Chat	On pairs of difference operators satisfying [D, X]=Id	1998	A. Z. Górski Jacek Szmigielski
+	Representations of the Heisenberg algebra by difference operators	1998	A. Z. Górski Jacek Szmigielski
+	None	1998	Josef F. Dorfmeister H. Gradl Jacek Szmigielski
+	Principal Realization for the extended affine Lie algebra of type $sl_2$ with coordinates in a simple quantum torus with two generators	1998	Stephen Berman Jacek Szmigielski
+ PDF Chat	A Riemann - Hilbert problem for an energy dependent Schrödinger operator	1996	D. H. Sattinger Jacek Szmigielski
+	Energy dependent scattering theory	1995	D. H. Sattinger Jacek Szmigielski
+ PDF Chat	Riemann–Hilbert Factorizations and Inverse Scattering for the AKNS-Equation with $L^1$-Potentials I	1993	Josef F. Dorfmeister Jacek Szmigielski
+ PDF Chat	On the soliton content of the self dual Yang-Mills equations	1993	Jacek Szmigielski
+ PDF Chat	Factorization and the dressing method for the Gel'fand-Dikii hierarchy	1993	D. H. Sattinger Jacek Szmigielski
+	Automorphisms of the KdV-subvariety	1991	Josef F. Dorfmeister Erhard Neher Jacek Szmigielski
+	AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE <i>KP</i>-EQUATION	1989	Josef F. Dorfmeister Erhard Neher Jacek Szmigielski

Common Coauthors

Coauthor	Papers Together
Xiang‐Ke Chang	15
Richard Beals	14
D. H. Sattinger	14
Hans Lundmark	13
M. Gekhtman	7
Marco Bertola	7
Josef Dorfmeister	5
A. Z. Górski	4
Stephen Berman	4
Xing‐Biao Hu	4
Daniel Gomez	3
Lingjun Zhou	3
Andrew N. W. Hone	3
Erhard Neher	2
Stephen C. Anco	2
S. Medina Peralta	2
Yuly Billig	2
G. López Lagomasino	2
H. Gradl	2
Alexei Zhedanov	1
Daniel R. Gomez	1
Kale Colville	1
Keivan Mohajer	1
Thomas Stanley	1
Jennifer Kohlenberg	1
Steven Rayan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	39
+ PDF Chat	Multi-peakons and a theorem of Stieltjes	1999	Richard Beals D. H. Sattinger Jacek Szmigielski	33
+	Degasperis-Procesi peakons and the discrete cubic string	2005	Hans Lundmark Jacek Szmigielski	23
+ PDF Chat	None	2002	A. Degasperis Darryl D. Holm Andrew N. W. Hone	14
+	Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems	2002	Felix R. Gantmacher M. Г. Крейн	14
+	Recherches sur les fractions continues	1894	T.-J. Stieltjes	12
+ PDF Chat	Multi-peakon solutions of the Degasperis–Procesi equation	2003	Hans Lundmark Jacek Szmigielski	12
+ PDF Chat	Explicit multipeakon solutions of Novikov’s cubically nonlinear integrable Camassa–Holm type equation	2009	Andrew N. W. Hone Hans Lundmark Jacek Szmigielski	11
+	Integrable peakon equations with cubic nonlinearity	2008	Andrew N. W. Hone Jing Ping Wang	11
+ PDF Chat	A new integrable equation with cuspons and W/M-shape-peaks solitons	2006	Zhijun Qiao	10
+	Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation	1996	Benno Fuchssteiner	10
+ PDF Chat	New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons	2007	Zhijun Qiao	10
+	Dynamics of Director Fields	1991	John K. Hunter Ralph Saxton	9
+	The Cauchy Two-Matrix Model	2009	Marco Bertola M. Gekhtman Jacek Szmigielski	9
+	Acoustic Scattering and the Extended Korteweg– de Vries Hierarchy	1998	Richard Beals D. H. Sattinger Jacek Szmigielski	9
+ PDF Chat	Wave breaking for nonlinear nonlocal shallow water equations	1998	Adrian Constantin Joachim Escher	9
+	Generalizations of the Camassa–Holm equation	2009	В. С. Новиков	9
+ PDF Chat	Cauchy biorthogonal polynomials	2009	Marco Bertola M. Gekhtman Jacek Szmigielski	9
+ PDF Chat	Wave-Breaking and Peakons for a Modified Camassa–Holm Equation	2012	Guilong Gui Yue Liu Peter J. Olver Changzheng Qu	9
+	The Korteweg—de Vries Equation and Beyond	1995	A. S. Fokas	8
+	On the uniqueness of discontinuous solutions to the Degasperis–Procesi equation	2006	Giuseppe Maria Coclite Kenneth H. Karlsen	7
+ PDF Chat	An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation	2016	Hans Lundmark Jacek Szmigielski	7
+	An extension of integrable peakon equations with cubic nonlinearity	2009	Xianguo Geng Bo Xue	7
+ PDF Chat	INTEGRABLE AND NON-INTEGRABLE EQUATIONS WITH PEAKONS	2003	A. Degasperis Darryl D. Holm Andrew N. W. Hone	7
+	Inverse scattering solutions of the hunter-saxton equation	2001	Richard Beals D. H. Sattinger Jacek Szmigielski	7
+ PDF Chat	Cubic string boundary value problems and Cauchy biorthogonal polynomials	2009	Marco Bertola M. Gekhtman Jacek Szmigielski	7
+	Multipeakons of a two-component modified Camassa–Holm equation and the relation with the finite Kac–van Moerbeke lattice	2016	Xiang‐Ke Chang Xing‐Biao Hu Jacek Szmigielski	6
+	The Korteweg-de Vries equation and beyond	1995	A. S. Fokas	6
+ PDF Chat	Loop groups and equations of KdV type	1985	Graeme Segal George Wilson	6
+ PDF Chat	Peakons, r-matrix and Toda lattice	1996	O. Ragnisco M. Bruschi	6
+	Peakons, strings, and the finite Toda lattice	2000	Richard Beals D. H. Sattinger Jacek Szmigielski	6
+	On a completely integrable nonlinear hyperbolic variational equation	1994	John K. Hunter Yuxi Zheng	5
+ PDF Chat	Global Conservative Solutions of the Camassa–Holm Equation	2006	Alberto Bressan Adrian Constantin	5
+ PDF Chat	Lax Integrability and the Peakon Problem for the Modified Camassa–Holm Equation	2018	Xiang‐Ke Chang Jacek Szmigielski	5
+ PDF Chat	The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations	2008	Adrian Constantin David Lannes	5
+	Stability of peakons for the Degasperis‐Procesi equation	2008	Zhiwu Lin Yue Liu	5
+	Orbital stability of the train of peakons for an integrable modified Camassa–Holm equation	2014	Xiaochuan Liu Yue Liu Changzheng Qu	5
+ PDF Chat	Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions	2010	Jonatan Lenells Gerard Misiołek Feride Tığlay	5
+ PDF Chat	The inverse spectral problem for the discrete cubic string	2006	Jennifer Kohlenberg Hans Lundmark Jacek Szmigielski	5
+	Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation	2008	Helge Holden Xavier Raynaud	5
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	5
+	On a completely integrable nonlinear hyperbolic variational equation	1994	John K. Hunter Yuxi Zheng	5
+	Global weak solutions and blow-up structure for the Degasperis–Procesi equation	2006	Joachim Escher Yue Liu Zhaoyang Yin	5
+ PDF Chat	A new integrable two-component system with cubic nonlinearity	2011	Junfeng Song Changzheng Qu Zhijun Qiao	5
+	Lie algebras and equations of Korteweg-de Vries type	1985	Vladimir Drinfeld В. В. Соколов	4
+ PDF Chat	Liouville Correspondence Between the Modified KdV Hierarchy and Its Dual Integrable Hierarchy	2015	Jing Kang Xiaochuan Liu Peter J. Olver Changzheng Qu	4
+	Stability of peakons	2000	Adrian Constantin Walter A. Strauss	4
+	Peakon-antipeakon interactions in the Degasperis-Procesi equation	2013	Jacek Szmigielski Lingjun Zhou	4
+	On the well-posedness of the Degasperis–Procesi equation	2006	Giuseppe Maria Coclite Kenneth H. Karlsen	4
+	Around the classical string problem	2008	Pierre Sabatier	4