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Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

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Abstract

A (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specicpresented lump solution are made to shed light on the characteristics of lumps. The result provides a new example of (2 + 1)-dimensional nonlinear partial differential equations which possess lump solutions.

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Acknowledgements

The work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11301454, 11301331, 11371086, 11571079, 51771083), the NSF under the grant DMS-1664561, the Jiangsu Qing Lan Project for Excellent Young Teachers in University (2014), the Six Talent Peaks Project in Jiangsu Province (2016-JY-081), the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17KJB110020), the Natural Science Foundation of Jiangsu Province (Grant No. BK20151160), the Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT under Grant No. 2017XKZD11, and the Distinguished Professorships by Shanghai University of Electric Power and Shanghai Polytechnic University.

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Authors and Affiliations

  1. School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou, 221008, China

    Shou-Ting Chen

  2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620, USA

    Wen-Xiu Ma

  3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Wen-Xiu Ma

  4. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho, 2735, South Africa

    Wen-Xiu Ma

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  1. Shou-Ting Chen
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Correspondence to Wen-Xiu Ma.

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Chen, ST., Ma, WX. Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation. Front. Math. China 13, 525–534 (2018). https://doi.org/10.1007/s11464-018-0694-z

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  • DOI: https://doi.org/10.1007/s11464-018-0694-z

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