Energy-dependent reflectionless inverse scattering
DOI10.4171/PRIMS/58-2-5zbMath1492.35310OpenAlexW4225407865MaRDI QIDQ2135409
Publication date: 6 May 2022
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/prims/58-2-5
soliton solutionreflectionless potentialnonlinear evolution systeminverse scattering theoryenergy-dependent Schrödinger equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)
Cites Work
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- Energy dependent inverse scattering on the line
- On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- On the inverse scattering problem for the one-dimensional Schrödinger equation with an energy dependent potential
- Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
- Inverse scattering in one-dimensional nonconservative media
- Korteweg-de Vries equation: Construction of solutions in terms of scattering data
- Energy dependent scattering theory
- An inversion formula in energy dependent scattering
- Mathematics of dispersive water waves
- On soliton-type solutions of equations associated with N-component systems
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Inverse scattering for a Schrödinger equation with energy dependent potential
- Traveling wave solutions of degenerate coupled Korteweg-de Vries equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Energy Dependent Inverse Scattering
- Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
- Approximate equations for long water waves
- Inverse scattering on the line
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Wave scattering in one dimension with absorption
- Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation
- A Riemann - Hilbert problem for an energy dependent Schrödinger operator
- Integrable Models for Shallow Water with Energy Dependent Spectral Problems
