On the long-time behaviour of soliton ensembles

DOI10.1016/S0378-4754(02)00178-7zbMath1015.65056MaRDI QIDQ1869178

Andrus Salupere, Pearu Peterson, Yu. K. Ehngel'brekht

Publication date: 9 April 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

soliton interactionKorteweg-de Vries solitonsKdV solitonssoliton ensembles

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (13)

A lattice Boltzmann model for the Korteweg-de Vries equation with two conservation laws ⋮ Negative group velocity in solids ⋮ Hidden solitons in the Zabusky-Kruskal experiment: analysis using the periodic, inverse scattering transform ⋮ On the propagation of 1D solitary waves in Mindlin-type microstructured solids ⋮ Numerical simulation of a solitonic gas in KdV and KdV-BBM equations ⋮ Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems ⋮ Nonlinear deformation waves in solids and dispersion ⋮ Small dispersion limit of the Korteweg-de Vries equation with periodic initial conditions and analytical description of the Zabusky-Kruskal experiment ⋮ Nonlinear disintegration of sine wave in the framework of the Gardner equation ⋮ Propagation of \(sech^2\)-type solitary waves in hierarchical KdV-type systems ⋮ Numerical modeling of the KdV random wave field ⋮ A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation ⋮ Internal solitary waves in the ocean: analysis using the periodic, inverse scattering transform

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