Periodic and solitary travelling-wave solutions of a CH–DP equation

Shaolong Xie,Qian Lin,Bin Gao

doi:10.1016/j.cnsns.2011.01.023

Periodic and solitary travelling-wave solutions of a CH–DP equation

Shaolong Xie, Qian Lin + Show 1 more

https://doi.org/10.1016/j.cnsns.2011.01.023

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Journal: Communications in Nonlinear Science and Numerical Simulation	Publication Date: Feb 5, 2011
Citations: 9

Affiliation: Yuxi Normal University

#Periodic Waves #Integral Bifurcation Method #Periodic Cusp Waves #Kink Waves #Dynamical System Theory #Solitary Waves #Periodic Solitary Waves #Periodic Peakons #Periodic Kink #Solitary Solutions

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By using the dynamical system theory and the integral bifurcation method, a modified Camassa–Holm and Degasperis–Procession (CH–DP) equation are studied. The bounded travelling wave solutions such as periodic waves, periodic cusp waves, solitary waves, peakons, loops and kink waves are given, and the dynamic characters of these solutions are investigated.

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Periodic and solitary travelling-wave solutions of a CH–DP equation