Existence analysis of traveling wave solutions for a generalization of KdV equation

DOI10.1155/2013/462957zbMath1296.35018OpenAlexW2056743401WikidataQ59027760 ScholiaQ59027760MaRDI QIDQ459974

Yao Long, Chan Chen

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/462957

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Traveling wave solutions (35C07)

Cites Work

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• Traveling wave solutions for a class of nonlinear dispersive equations
• Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation
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• Compacton-like and kink-like waves for a higher-order wave equation of Korteweg–de Vries type
• Application of hereditary symmetries to nonlinear evolution equations
• Compactons: Solitons with finite wavelength
• Integral bifurcation method combined with computer for solving a higher order wave equation of KdV type
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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