4.7 Article

Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 366, 期 -, 页码 -

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.124757

关键词

Soliton; Kadomtsev-Petviashvili equation; Lump solution

资金

  1. National Natural Science Foundation of China [11975172, 11705130]
  2. Beijing Youth Top-notch Talent Support Program [2017000026833ZK08]
  3. Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) [IPOC2017ZZ05]
  4. Chutian Scholar Program of Hubei Government in China

向作者/读者索取更多资源

In this paper, a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation, which can be reduced to the classical equation, is investigated based on the Hirota bilinear method. The lump and lump strip solutions for this equation are obtained with the help of symbolic computation. Those solutions are derived from polynomial solutions, and can be simply classified into some classes. Analysis for the obtained solutions are presented, and their dynamic properties are discussed. Results are helpful for the study of soliton interactions in nonlinear mathematical physics. (C) 2019 Elsevier Inc. All rights reserved.

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