N-soliton solutions of an integrable equation studied by Qiao |
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Authors: | Zhaqilao |
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Affiliation: | Zhaqilao College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China |
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Abstract: | In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures. |
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Keywords: | soliton solution Darboux transformation integrable equation |
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