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New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equations

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Abstract

The extended homoclinic test approach is an efficient and well-developed approach to solve nonlinear partial differential equations. In this paper, the (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation are investigated by using this approach. Some exact solutions including kinky periodic solitary-wave solutions, periodic soliton solutions and kink solutions are obtained. Moreover, the strangely mechanical features of these solutions are studied. These results enrich the variety of the dynamics of nonlinear wave model.

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Acknowledgments

The work was supported by the National Natural Science Foundation of China (Grant Nos. 11202161, 11472212, 11302171) and Graduate Starting Seed Fund of Northwestern Polytechnical University.

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Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710129, China

    Yaning Tang & Weijian Zai

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  1. Yaning Tang
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  2. Weijian Zai
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Correspondence to Yaning Tang.

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Tang, Y., Zai, W. New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equations. Nonlinear Dyn 81, 249–255 (2015). https://doi.org/10.1007/s11071-015-1986-4

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  • DOI: https://doi.org/10.1007/s11071-015-1986-4

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