Soliton-like interaction governed by the generalized Korteweg-de Vries equation

DOI10.1016/0165-2125(80)90001-3zbMath0443.76019OpenAlexW2028322797MaRDI QIDQ1144433

L. Y. Shih

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0165-2125(80)90001-3

zbMATH Keywords

generalized Korteweg-de Vries equationnonlinear interactiontwo-scale methodsoliton-like interaction

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Nonlinear dynamics in mechanics (70K99) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Space charge waves (78A20)

Related Items (6)

Inelasticity of soliton collisions for the 5D energy critical wave equation ⋮ Soliton-like interaction governed by the generalized Korteweg-de Vries equation ⋮ Inelastic interaction of nearly equal solitons for the quartic gKdV equation ⋮ Nonexistence of pure multi-solitons for the quartic gBBM equation ⋮ Description of two soliton collision for the quartic gKdV equation ⋮ Stability of two soliton collision for nonintegrable gKdV equations

Cites Work

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• Soliton-like interaction governed by the generalized Korteweg-de Vries equation
• Soliton-Like Solutions for a Dispersive Nonlinear Wave Equation
• Solitons and simple pseudopotentials
• Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation
• A perturbation method for nonlinear dispersive wave problems
• Integrals of nonlinear equations of evolution and solitary waves

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