Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation

DOI10.1016/J.CNSNS.2006.07.005zbMath1221.35310OpenAlexW1981603709MaRDI QIDQ718627

Swapan Konar, Anjan Biswas

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.07.005

zbMATH Keywords

solitonsintegrals of motionsoliton perturbation theoryadiabatic parameter dynamics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

• Soliton perturbation theory for the compound KdV equation
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Applications of extended tanh method to `special' types of nonlinear equations
• New approximate solutions of the perturbed KdV equation
• Solitary wave solutions of nonlinear wave equations
• Perturbations of Solitons and Solitary Waves
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory

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