Solitary wave solutions of the nonlinear generalized Pochhammer–Chree and regularized long wave equations
Solitary wave solutions of the nonlinear generalized Pochhammer–Chree and regularized long wave equations
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DOI：
10.1007/s11071-012-0634-5
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发表时间：
2012-10
影响因子：
5.6
通讯作者：
A. Mohebbi
中科院分区：
文献类型：
--
作者：
A. Mohebbi
In this paper, we implement some fast and high accuracy numerical algorithms to obtain the solitary wave solutions of generalized Pochhammer–Chree (PC) and regularized long wave (RLW) equations. We employ the discrete Fourier transform to discretize the original partial differential equations (PDEs) in space and obtain a system of ordinary differential equations (ODEs) in Fourier space which will be solved with fourth order time-stepping methods. The proposed methods are fast and accurate due to the use of the fast Fourier transform in combination with explicit fourth-order time stepping methods. For RLW equation we investigate the propagation of a single solitary and interaction of two and three solitary waves. Moreover, three invariants of motion (mass, energy, and momentum) are evaluated to determine the conservation properties of the problem, and the numerical schemes lead to accurate results. The numerical results are compared with analytical solutions and with those of other recently published methods to confirm the accuracy and efficiency of the presented schemes.
