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Solitary Solution of Discrete mKdV Equation by Homotopy Analysis Method |
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| Authors: | WANG Zhen ZOU Li ZHANG Hong-Qing |
| Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116085, China ;2. School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian 116085, China |
| Abstract: | In this paper, we apply homotopy analysis method to solve discrete mKdV equation and successfully obtain the bell-shaped solitary solution to mKdV equation. Comparison between our solution and the exact solution shows that homotopy analysis method is effective and validity in solving hybrid nonlinear problems, including solitary solution of difference-differential equation. |
| Keywords: | differential-difference equation Homotopy analysis method homotopy-Pade approximation discrete mKdV equation soliton |
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