Space–time memory functions and solution of nonlinear evolution equations

DOI10.1063/1.525262zbMath0505.35075OpenAlexW1999322780MaRDI QIDQ4740929

Takeo Nishigori

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525262

zbMATH Keywords

Korteweg-de Vries equationsoliton solutionsnonlinear evolution equationsFourier-Laplace transformationspace-time memory functions

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• The Estabrook-Wahlquist method with examples of application
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Analytical approach to initial-value problems in nonlinear systems
• Memory function approach to nonlinear deterministic systems: An exact linear equation
• Transport, Collective Motion, and Brownian Motion

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