Analogue of Fourier's method for Korteweg-deVries equation

DOI10.3792/pja/1195519536zbMath0252.35013OpenAlexW2067073111MaRDI QIDQ5665545

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/1195519536

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Initial value problems for linear higher-order PDEs (35G10) Scattering theory of linear operators (47A40) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Related Items

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

Cites Work

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• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Method for Solving the Korteweg-deVries Equation
• Modified Korteweg-deVries Equation and scattering theory

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