The Toda lattice with step-like initial data. Soliton asymptotics

Anne Boutet de Monvel, Iryna Egorova

Type: Article

Publication Date: 2000-07-13

Citations: 16

DOI: https://doi.org/10.1088/0266-5611/16/4/306

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Inverse Problems - View

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+	An application of the inverse scattering problem for the discrete Dirac operator	2020	Rza I. Aleskerov
+ PDF Chat	Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds	2009	Iryna Egorova Johanna Michor Gerald Teschl
+	Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation: II	2001	A. H. Vartanian
+ PDF Chat	Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials	2008	Anne Boutet de Monvel Iryna Egorova Gerald Teschl
+ PDF Chat	Wave phenomena of the Toda lattice with steplike initial data	2016	Johanna Michor
+	Asymptotic stability of Toda lattice solitons	2008	Tetsu Mizumachi Robert L. Pego
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+	Scattering theory for Jacobi operators with a steplike quasi-periodic background	2007	Iryna Egorova Johanna Michor Gerald Teschl
+ PDF Chat	On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations	2009	Iryna Egorova Katrin Grunert Gerald Teschl
+ PDF Chat	Scattering Theory for Jacobi Operators with Quasi-Periodic Background	2006	Iryna Egorova Johanna Michor Gerald Teschl

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+	Asymptotic solitons of the modified Korteweg-de Vries equation	1989	Vladimir Kotlyarov E. Ya. Khruslov
+	Approximating the weight function for orthogonal polynomials on several intervals	1991	Jeffrey S. Geronimo Walter Van Assche
+	Orthogonal polynomials from the viewpoint of scattering theory	1974	K. M. Case
+	Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schr�dinger equation	1991	Vladimir Kotlyarov
+	Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems	1990	Vaughan H. Weston
+	A discrete version of the inverse scattering problem	1973	K. M. Case Mark Kac
+	Solitons of the nonlinear Schr�dinger equation generated by the continuum	1986	Vladimir Kotlyarov E. Ya. Khruslov
+ PDF Chat	Scattering theory and polynomials orthogonal on the real line	1980	Jeffrey S. Geronimo K. M. Case
+	Asymptotic solitons of the sine-Gordon equation	1989	Vladimir Kotlyarov
+	Orthogonal polynomials with asymptotically periodic recurrence coefficients	1986	Jeffrey S. Geronimo Walter Van Assche