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An extension of the modified Sawada-Kotera equation and conservation laws
Geng Xianguo,He Guoliang
Department of Mathematics, ZhengZhou University
*Correspondence author
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Funding: NSFC（No.10871182）, Research supported by SRFDP（No.200804590008）
Opened online: 1 June 2011
Accepted by: none
Citation: Geng Xianguo,He Guoliang.An extension of the modified Sawada-Kotera equation and conservation laws[OL]. [ 1 June 2011] http://en.paper.edu.cn/en_releasepaper/content/4429684
 
 
Based onthe modified Sawada-Kotera equation, we introduce a 3×3 matrix spectral problem with two potentials and derive a hierarchyof new nonlinear evolution equations. The second member in thehierarchy is a generalization of the modified Sawada-Koteraequation, by which a Lax pair of the modified Sawada-Kotera equationis obtained. Moreover, infinite sequences of conserved quantities ofthe first two nonlinear evolution equations in the hierarchy and themodified Sawada-Kotera equation are constructed with the aid oftheir Lax pairs.
Keywords:fundamental mathematics; spectralproblem; integrable nonlinear evolution equations; conservationlaws
 
 
 

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