中国物理B ›› 2020, Vol. 29 ›› Issue (12): 120502-.doi: 10.1088/1674-1056/aba9c4

• GENERAL • 上一篇    下一篇

  

  • 收稿日期:2020-05-31 修回日期:2020-07-12 接受日期:2020-07-28 出版日期:2020-12-01 发布日期:2020-12-02

Localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations

Yu-Hang Yin(尹宇航)1, Si-Jia Chen(陈思佳)1, and Xing Lü(吕兴)1,2,†   

  1. 1 Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China; 2 Beijing Laboratory of National Economic Security Early-warning Engineering, Beijing Jiaotong University, Beijing 100044, China\vglue3pt
  • Received:2020-05-31 Revised:2020-07-12 Accepted:2020-07-28 Online:2020-12-01 Published:2020-12-02
  • Contact: Corresponding author. E-mail: xlv@bjtu.edu.cn, xinglv655@aliyun.com
  • Supported by:
    Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 2018RC031), the National Natural Science Foundation of China (Grant No. 71971015), the Program of the Co-Construction with Beijing Municipal Commission of Education of China (Grant Nos. B19H100010 and B18H100040), and the Open Fund of IPOC (BUPT).

Abstract: We focus on the localized characteristics of lump and interaction solutions to two extended Jimbo-Miwa equations. Based on the Hirota bilinear method and the test function method, we construct the exact solutions to the extended equations including lump solutions, lump-kink solutions, and two other types of interaction solutions, by solving the under-determined nonlinear system of algebraic equations for associated parameters. Finally, analysis and graphical simulation are presented to show the dynamical characteristics of our solutions and the interaction behaviors are revealed.

Key words: Hirota bilinear method, test function method, lump solution, interaction solution, symbolic computation

中图分类号:  (Solitons)

  • 05.45.Yv
05.30.Jp (Boson systems) 02.70.Wz (Symbolic computation (computer algebra))