Stumpons and fractal-like wave solutions to the Dullin-Gottwald-Holm equation

DOI10.1016/j.chaos.2009.01.009zbMath1198.35244OpenAlexW2061097778MaRDI QIDQ603602

Jiuli Yin, Lixin Tian

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.01.009

Mathematics Subject Classification ID

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

Related Items (7)

Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ Limiting behavior and complex dynamics of all solitary waves in the two-component Dullin-Gottwald-Holm equation ⋮ Various Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law Nonlinearity ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Orbital stability of floating periodic peakons for the Camassa-Holm equation ⋮ 1-soliton solution and conservation laws of the generalized Dullin-Gottwald-Holm equation ⋮ Stability of peakons and linear dispersion limit for the periodic Dullin–Gottwald–Holm equation

Cites Work

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• Existence and uniqueness of low regularity solutions for the Dullin-Gottwald-Holm equation
• Nonlinear dispersion relations
• Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
• New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion
• Periodic cusp wave solutions and single-solitons for the \(b\)-equation
• The limit behavior of the solutions to a class of nonlinear dispersive wave equations
• Construction of solitary solution and compacton-like solution by variational iteration method
• On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
• Traveling wave solutions of the Camassa-Holm equation
• Optimal control of the viscous Degasperis-Procesi equation

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