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A Limit Symmetry of Modified KdV Equation and Its Applications |
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| Authors: | ZHANG Jian-Bing JI Jie SHEN Qing ZHANG Da-Jun |
| Institution: | [1]School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116, China [2]College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China [3]Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | In this letter we consider a limit symmetry of the modified KdV equation and its application. The similarity reduction leads to limit solutions of the modified KdV equation. Besides, a modified KdV equation with new self-consistent sources is obtained and its solutions are derived. |
| Keywords: | symmetry the mKdV equation symmetry reduction self-consistent source Hirota＇s method |
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