Internal structure of the two-soliton solution of the KdV equation

DOI10.1016/0165-2125(85)90001-0zbMath0586.35081OpenAlexW2058757124MaRDI QIDQ1071960

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0165-2125(85)90001-0

zbMATH Keywords

Dynamical equationsanalytical expression of each solitonKdV solitonsnegative velocity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Theoretical approximation in context of PDEs (35A35) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (8)

Interaction of some meromorphic solutions of the KdV equation ⋮ Long-time behaviour of soliton ensembles. I: Emergence of ensembles. ⋮ On the dynamics of soliton interactions for the Korteweg-de Vries equation ⋮ Multisoliton solution of a class of coupled soliton equations ⋮ On the KdV soliton formation and discrete spectral analysis ⋮ On KdV soliton splitting ⋮ On the structure of the two-soliton interaction for the Korteweg-de Vries equation ⋮ On the long-time behaviour of soliton ensembles

Cites Work

• A Hopscotch method for the Korteweg-de-Vries equation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• The Korteweg–deVries Equation: A Survey of Results
• Integrals of nonlinear equations of evolution and solitary waves
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