Interactions between two \(y\)-periodic solitons: Solutions to the Kadomtsev-Petviashvili equation with positive dispersion

DOI10.1016/0165-2125(91)90056-TzbMath0749.76012OpenAlexW2042090890MaRDI QIDQ1194133

Masayoshi Tajiri, Youichi Murakami

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(91)90056-t

zbMATH Keywords

instabilitygeneral time evolution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (3)

Resonant collisions between lumps and periodic solitons in the Kadomtsev–Petviashvili I equation ⋮ From nonassociativity to solutions of the KP hierarchy ⋮ Interactions between two \(y\)-periodic solitons: Solutions to the Kadomtsev-Petviashvili equation with positive dispersion

Cites Work

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• Interactions between two \(y\)-periodic solitons: Solutions to the Kadomtsev-Petviashvili equation with positive dispersion
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On a Growing Mode of the Boussinesq Equation
• N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
• Solitons and rational solutions of nonlinear evolution equations
• Soliton Interactions in Two Dimensions
• The inverse scattering transform: Semi-infinite interval
• On the evolution of packets of long surface waves
• Resonantly interacting solitary waves

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