The evolution of perturbations of the renormalized long wave equation

DOI10.1063/1.528079zbMath0695.35175OpenAlexW2080916677MaRDI QIDQ3470950

S. R. Majumbar, Chirakkal Easwaran

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528079

zbMATH Keywords

asymptotic expansionssolitary wave solutionevolution of perturbationsrenormalized long wave equation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Exact solutions for two nonlinear wave equations with nonlinear terms of any order ⋮ Backlund transformation for the variable coefficient korteweg-de vries equation ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis ⋮ Evolution of solitary-wave solution of the perturbed regularized long-wave equation ⋮ Solitons and the regularized long wave equation: a nonexistence theorem.

Cites Work

• Slowly varying solitary waves. I. Korteweg-de Vries equation
• Soliton Evolution in the Presence of Perturbation
• On an asymptotic solution of the Korteweg–de Vries equation with slowly varying coefficients
• Model equations for long waves in nonlinear dispersive systems

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