Towered waves and anti-waves in the generalized Degasperis-Procesi equation

DOI10.1016/j.camwa.2011.05.047zbMath1228.35209OpenAlexW2059387218MaRDI QIDQ651542

Lixin Tian, Jiuli Yin

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.05.047

zbMATH Keywords

limiting behaviorfractal-like wavescomposite wavesgeneralized Degasperis-Procesi equationtowered waves

Mathematics Subject Classification ID

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

Cites Work

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• A new type of bounded waves for Degasperis-Procesi equation
• Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
• The bifurcation and peakon for Degasperis-Procesi equation
• Classification of travelling waves in the Fornberg-Whitham equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
• Stability of peakons and linear dispersion limit for the periodic Dullin–Gottwald–Holm equation
• Stability of negative solitary waves for an integrable modified Camassa–Holm equation

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