New Compacton-Like and Solitary Pattern-Like Solutions of (2+1)-Dimensional Generalization of Modified KdV Equation |
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| Authors: | CHEN Yong YAN Zhen-Ya |
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| Institution: | Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;Key Laboratory of Mathematics Mechanization, Institute of System Science, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | Recently some (1 1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2 1)-dimensional generalization of mKd V equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2 1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions. |
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| Keywords: | (2 1)-dimensional nonlinear wave equation comptacton-like solution solitary pattern-like solution |
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