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

Yuping Zhang, Wenguang Zhang
2017 Proceedings of the 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017)   unpublished

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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.
doi:10.2991/mecae-17.2017.77 fatcat:fmeveg6cubdbpjgto3olvo2wcu
Citation

Yuping Zhang, Wenguang Zhang. "Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics." Proceedings of the 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017) (2017)