Blow-up scenario for a generalized Camassa–Holm equation with both quadratic and cubic nonlinearity
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DOI: 10.1080/00036811.2019.1636970
Abstract: ABSTRACT In this paper, we mainly devote to study an integrable generalized Camassa–Holm equation with both quadratic and cubic nonlinearity proposed by Xia, Qiao and Li [An integrable system with peakon, complex peakon, weak kink,… read more here.
Keywords: equation quadratic; camassa holm; quadratic cubic; blow ... See more keywords
Bifurcations of traveling wave solutions for a generalized Camassa-Holm equation
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DOI: 10.11948/2018.1851
Abstract: In this paper, the traveling wave solutions for a generalized CamassaHolm equation ut−uxxt = 12 (p+1)(p+2)u ux− 1 2p(p−1)u ux−2puuxuxx− uuxxx are investigated. By using the bifurcation method of dynamical systems, three major results for… read more here.
Keywords: generalized camassa; wave solutions; solutions generalized; equation ... See more keywords
Blow-Up Criterion and Persistence Property to a Generalized Camassa-Holm Equation
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DOI: 10.3390/sym15020493
Abstract: In this paper, a generalized Camassa–Holm equation, which may be used to describe wave motion in the shallow water, is considered. Some dynamic properties are studied for the model. Firstly, a new blow-up criterion for… read more here.
Keywords: persistence property; equation; holm equation; blow criterion ... See more keywords