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Painlevé Integrability, Consistent Riccati Expansion Solvability and Interaction Solution for the Coupled mKdV-BLMP System |
| Jun-Chao Chen**, Zheng-Yi Ma, Ya-Hong Hu |
Department of Mathematics, Lishui University, Lishui 323000
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| Cite this article: |
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Jun-Chao Chen, Zheng-Yi Ma, Ya-Hong Hu 2017 Chin. Phys. Lett. 34 010201 |
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Abstract The integrability of the coupled, modified KdV equation and the potential Boiti–Leon–Manna–Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system possesses the Painlevé property in both the principal and secondary branches. Then, the consistent Riccati expansion (CRE) method is applied to the coupled mKdV-BLMP system. As a result, it is CRE solvable for the principal branch while non-CRE solvable for the secondary branch. Finally, starting from the last consistent differential equation in the CRE solvable case, soliton, multiple resonant soliton solutions and soliton-cnoidal wave interaction solutions are constructed explicitly.
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Received: 21 October 2016
Published: 29 December 2016
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| Fund: Supported by the Natural Science Foundation of Zhejiang Province of China under Grant No LY14A010005. |
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