Soliton perturbation theory for the compound KdV equation

DOI10.1007/s10773-006-9231-zzbMath1147.35346OpenAlexW2598575787MaRDI QIDQ878127

Swapan Konar, Anjan Biswas

Publication date: 26 April 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9231-z

zbMATH Keywords

KdV equationsoliton perturbation theoryadiabatic parameter dynamics

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

Alternate way of soliton solutions in hydrogen-bonded chain ⋮ Interaction of spatially separated oscillating solitons in biased two-photon photorefractive materials ⋮ New exact solutions for the KdV equation with higher order nonlinearity by using the variational method ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ Singularity for solutions of linearized KdV equations ⋮ Soliton perturbation theory for the fifth order KdV-type equations with power law nonlinearity ⋮ 1-soliton solution of the \(K(m,n)\) equation with generalized evolution ⋮ Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion ⋮ Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation ⋮ Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation ⋮ Solitary wave solution for the generalized Kawahara equation

Uses Software

• RATH

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