Non-linear Schrödinger equation and modified Korteweg-de Vries equation; construction of solutions in terms of scattering data

DOI10.2977/prims/1195191998zbMath0372.35069OpenAlexW2039535296MaRDI QIDQ1244475

Shunichi Tanaka

Publication date: 1975

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/10.2977/prims/1195191998

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Ordinary differential operators (34L99)

Related Items (5)

Action-angle maps and scattering theory for some finite-dimensional integrable systems. II: Solitons, antisolitons, and their bound states ⋮ Bounded traveling wave solutions for MKdV-Burgers equation with the negative dispersive coefficient ⋮ Commutation Methods Applied to the mKdV-Equation ⋮ Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation ⋮ Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation

Cites Work

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• On the N-tuple wave solutions of the Korteweg-de Vries equation
• Some remarks on the modified Korteweg-de Vries equations
• The Modified Korteweg-de Vries Equation
• Method for Solving the Korteweg-deVries Equation
• Analogue of Fourier's method for Korteweg-deVries equation
• Modified Korteweg-deVries Equation and scattering theory

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