Modified Korteweg-deVries Equation and scattering theory

DOI10.3792/pja/1195519590zbMath0253.35072OpenAlexW1968928202MaRDI QIDQ5666951

Shunichi Tanaka

Publication date: 1972

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519590

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (11)

Rational solutions to the mKdV equation associated to particular polynomials ⋮ Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method ⋮ Commutation Methods Applied to the mKdV-Equation ⋮ Solutions to the modified Korteweg–de Vries equation ⋮ Soliton molecules for combined mKdV-type bilinear equation ⋮ Long-time asymptotics of the coupled modified Korteweg-de Vries equation ⋮ Analogue of Fourier's method for Korteweg-deVries equation ⋮ mKdV and its Birkhoff coordinates ⋮ The mKdV equation and multi-parameters rational solutions ⋮ Non-linear Schrödinger equation and modified Korteweg-de Vries equation; construction of solutions in terms of scattering data ⋮ Pseudopotentials and the inverse scattering problems of the generalized Korteweg-de Vries 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
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• Method for Solving the Korteweg-deVries Equation
• Integrals of nonlinear equations of evolution and solitary waves

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