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Analytical travelling wave solutions and parameter analysis for the (2+1)-dimensional Davey–Stewartson-type equations

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Abstract

By using dynamical system method, this paper considers the (2+1)-dimensional Davey–Stewartson-type equations. The analytical parametric representations of solitary wave solutions, periodic wave solutions as well as unbounded wave solutions are obtained under different parameter conditions. A few diagrams corresponding to certain solutions illustrate some dynamical properties of the equations.

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Acknowledgements

The authors thank the referees for their valuable suggestions. This work was supported by the National Natural Science Foundation of China (10831003).

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Authors and Affiliations

  1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, People’s Republic of China

    JIANPING SHI & SHUMIN LI

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People’s Republic of China

    JIBIN LI

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  1. JIANPING SHI
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  2. JIBIN LI
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Correspondence to JIANPING SHI.

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SHI, J., LI, J. & LI, S. Analytical travelling wave solutions and parameter analysis for the (2+1)-dimensional Davey–Stewartson-type equations. Pramana - J Phys 81, 747–762 (2013). https://doi.org/10.1007/s12043-013-0612-6

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  • DOI: https://doi.org/10.1007/s12043-013-0612-6

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