Symmetry Reduction of the (2+1)-Dimensional Modified Dispersive Water-Wave System |
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| Authors: | MA Zheng-Yi FEI Jin-Xi DU Xiao-Yang |
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| Affiliation: | 1.Department of Mathematics, Zhejiang Lishui University, Lishui 323000, China;2.Department of Electronics, Zhejiang Lishui University, Lishui 323000, China;3.Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | Using the standard truncated Painlevé expansion, the residual symmetry of the (2+1)-dimensional modified dispersive water-wave system is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived by utilizing the obtained symmetries. The symmetries of the system are also derived through the Clarkson-Kruskal direct method, and several types of explicit reduction solutions relate to the trigonometric or the hyperbolic functions are obtained. Finally, some special solitons are depicted from one of the solutions. |
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| Keywords: | dispersive water-wave system symmetry reduction explicit solution soliton excitation |
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