Fan Sub-Equation method with Improved Algorithms for Travelling Wave Solutions of Jimbo-Miwa Equation

DOI

10.2991/icmmita-15.2015.130How to use a DOI?

Keywords

Fan sub-equation method; Travelling wave solution; Jimbo-Miwa equation

Abstract

In this paper, the (3+1)-dimensional Jimbo-Miwa equation is solved by Fan sub-equation method with improved algorithms. As a result, many new and more general travelling wave solutions are obtained including kink-shaped soliton solutions, rational solutions, triangular periodic solutions, Jacobi and Weierstrass doubly periodic wave solutions. At a certain limit condition, the obtained Jacobi elliptic periodic wave solutions can degenerate into soliton solutions. It is shown that the improved algorithms of Fan sub-equation method can lead to such solutions with external linear functions possessing two remarkable evolutionary properties: (i) the wave propagation is skew; (ii) the amplitude enlarges along with the increasing time.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Sheng Zhang
AU  - Aoxue Peng
PY  - 2015/11
DA  - 2015/11
TI  - Fan Sub-Equation method with Improved Algorithms for Travelling Wave Solutions of Jimbo-Miwa Equation
BT  - Proceedings of the 2015 3rd International Conference on Machinery, Materials and Information Technology Applications
PB  - Atlantis Press
SP  - 674
EP  - 679
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmita-15.2015.130
DO  - 10.2991/icmmita-15.2015.130
ID  - Zhang2015/11
ER  -