Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics

DOI

10.2991/mecae-17.2017.77How to use a DOI?

Keywords

Seventh-order KK equation, Lax pair, Hirota bilinear form, Soliton solution.

Abstract

In this paper, the seventh-order Kaup-Kupershmidt (KK) equation arising in fluids and plasmas is considered. The pseudopotentials of the equation are derived, based on the pseudopotentials, the Lax pair of the equation is get, which shows that the equation has the Lax integrability. It is a very important property in researching nonlinear evolution equations (NLEEs). By virtue of the symbolic computation, the equation is transformed into its bilinear form and soliton solutions of the equation are obtained.

Copyright

© 2017, 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  - Yuping Zhang
AU  - Wenguang Zhang
PY  - 2017/03
DA  - 2017/03
TI  - Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics
BT  - Proceedings of the 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017)
PB  - Atlantis Press
SP  - 408
EP  - 411
SN  - 2352-5401
UR  - https://doi.org/10.2991/mecae-17.2017.77
DO  - 10.2991/mecae-17.2017.77
ID  - Zhang2017/03
ER  -