Lump and interaction solutions of nonlinear partial differential equations-Reference-Cited by-同舟云学术

Lump and interaction solutions of nonlinear partial differential equations

Published:2019-04-18 Issue:11 Volume:33 Page:1950133
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Sun Yong-Li¹²,Ma Wen-Xiu²³,Yu Jian-Ping²⁴^ORCID,Ren Bo⁵,Khaliqu Chaudry Masood³

Affiliation:

1. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

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

3. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

4. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China

5. Institute of Nonlinear Science, Shaoxing University, Shaoxing, Zhejiang 312000, China

Abstract

In this paper, lump solutions of nonlinear partial differential equations, the generalized (2[Formula: see text]+[Formula: see text]1)-dimensional KP equation and the Jimbo–Miwa equation, are studied by using the Hirota bilinear method and carrying out symbolic computations in Maple. Moreover, the interaction solutions, i.e. collisions between lump waves and kink waves, are investigated. A group of graphs are plotted to illustrate the dynamics of the obtained results.

Funder

Natioanl natural science foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984919501331

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3. Integrability aspects of some two-component KdV systems