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arXiv · 1901.07307

Nonlocal symmetries and exact solutions of the (2+1)-dimensional generalised variable coefficient shallow water wave equation

Xiangpeng Xin·Linlin Zhang·Yarong Xia·Hanze Liu
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Abstract

In this paper, using the standard truncated Painleve analysis, the Schwartzian equation of (2+1)-dimensional generalised variable coefficient shallow water wave (SWW)equation is obtained. With the help of lax pairs, nonlocal symmetries of the SWW equation are constructed which be localized by a complicated calculation process. Furthermore, using the Lie point symmetries of the closed system and Schwartzian equation, some exact interaction solutions are obtained, such as soliton-cnoidal wave solutions. Corresponding 2D and 3D figures are placed on illustrate dynamic behavior of the generalised variable coefficient SWW equation.

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Xiangpeng Xin, Linlin Zhang, Yarong Xia, Hanze Liu. 2019-01-22. Nonlocal symmetries and exact solutions of the (2+1)-dimensional generalised variable coefficient shallow water wave equation. https://arxiv.org/abs/1901.07307

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