Traveling wave solutions of nonlinear partial differential equations

DOI10.1016/J.AML.2010.02.008zbMath1190.35195arXiv0808.2264OpenAlexW2009622293MaRDI QIDQ5900910

Laercio Losano, Ashok Das, Dionisio Bazeia, Manoel J. Santos

Publication date: 21 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2264

zbMATH Keywords

nonlinear partial differential equationstraveling wave solutionsintegrable equationpeakon solutioncompacton solution

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) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)

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Cites Work

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• On a model equation of traveling and stationary compactons
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• Integrable Models
• A Modern Introduction to the Mathematical Theory of Water Waves
• An integrable shallow water equation with peaked solitons

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