Exact Traveling Wave Solutions for Generalized Camassa-Holm Equation by Polynomial Expansion Methods
نویسندگان
چکیده
منابع مشابه
Exact travelling wave solutions of a generalized Camassa-Holm equation using the integral bifurcation method
In this paper, a generalized Camassa–Holm equation is studied by using the integral bifurcation method. Many travelling waves such as peaked compacton, compacton, peaked solitary wave, solitary wave and kink-like wave are found. In some parameter conditions, exact parametric representations of these travelling waves in explicit form and implicit form are obtained. 2008 Elsevier Inc. All rights ...
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The modified method of simplest equation is applied to the extended Korteweg de Vries equation and to generalized Camassa Holm equation. Exact traveling wave solutions of these two nonlinear partial differential equations are obtained. The equations of Bernoulli, Riccati and the extended tanh equation are used as simplest equations. Some of the obtained solutions correspond to surface water wav...
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We explore numerically different aspects of periodic traveling-wave solutions of the Camassa–Holm equation. In particular, the time evolution of some recently found new traveling-wave solutions and the interaction of peaked and cusped waves is studied. 2005 Elsevier Ltd. All rights reserved.
متن کاملOn the Bifurcation of Traveling Wave Solution of Generalized Camassa-Holm Equation
The generalized Camassa-Holm equation ut + 2kux − uxxt + auux = 2uxuxx + uuxxx + γuxxx is considered in this paper. Under traveling wave variable substitution, the equation is related to a planar singular system. By making a transformation this singular system becomes a regular system. Through discussing the dynamical behavior of the regular system, the explicit periodic blow-up solutions and s...
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has been extensively studied since the first systematic analysis in [5, 6]. Part of the attraction is the surprising complexity of the equation and its deep and nontrivial properties. To list a few of its peculiarities: The Camassa–Holm equation has a bi-Hamiltonian structure [16], it is completely integrable [5], and it has infinitely many conserved quantities [5]. Here we study the equation w...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2016
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2016.714138