A modified KdV-type equation that admits a variety of travelling wave solutions: kinks, solitons, peakons and cuspons

DOI10.1088/0031-8949/86/04/045501zbMath1264.35201OpenAlexW1969657936MaRDI QIDQ4920614

Publication date: 21 May 2013

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/86/04/045501

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

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A vector generalization of Volterra type differential-difference equations ⋮ Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves ⋮ On the exact solutions of a modified Kortweg de Vries type equation and higher-order modified Boussinesq equation with damping term ⋮ Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation ⋮ A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure ⋮ Kink solutions for three new fifth order nonlinear equations ⋮ Bifurcations and exact traveling wave solutions for the KdV-like equation ⋮ Kinks and travelling wave solutions for Burgers-like equations

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