Solitary Solution of Discrete mKdV Equation by Homotopy Analysis Method |
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| Authors: | WANG Zhen ZOU Li ZHANG Hong-Qing |
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| Affiliation: | 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 |
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| Abstract: | ![]()
In this paper, we apply homotopy analysis methodto solve discrete mKdV equation and successfully obtain thebell-shaped solitary solution to mKdV equation. Comparison betweenour solution and the exact solution shows that homotopyanalysis method is effective and validity in solving hybrid nonlinearproblems, including solitary solution of difference-differentialequation. |
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| Keywords: | differential-difference equation Homotopy analysis method homotopy-Pade approximation discrete mKdV equation soliton |
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