Abundant rational solutions and conservation laws of the generalized BKP-Boussinesq equation and its dimensionally reduced equations

Authors

  • Zhou-Zheng Kang
  • Tie-Cheng Xia Dept. of Mathematics, Shanghai University, Shanghai 200444, China.
  • Wen-Xiu Ma Dept. of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA.

Abstract

By virtue of Hirota's bilinear forms and a quadratic function approach, we generate novel rational analytical solutions to the (3+1)-dimensional generalized BKP-Boussinesq equation and lump solutions to its three types of dimensionally reduced equations. Moreover, we derive quite a few conservation laws for those equations by employing the rst homotopy method.

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Published

21-08-2019

Issue

Vol. 46 No. 3 (2019): Kuwait Journal of Science

Section

Mathematics