Solitons of the Korteweg-de Vries equation on the background of a known solution

DOI10.1007/BF01017499zbMath0591.35073MaRDI QIDQ1074791

A. V. Rybin, M. A. Sall'

Publication date: 1985

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

phase shiftspropagation of solitons

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion