Travelling wave solutions of reduced super-KdV equation: A perspective from Lamé equation

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摘要

Reduced supersymmetric Korteweg–de Vries (super-KdV) equation is investigated in this paper, with the help of an auxiliary Lamé equation and Jacobi elliptic function, travelling wave solutions of reduced super-KdV equation are obtained in the form of Jacobi elliptic periodic function, meanwhile, trigonal solutions and hyperbolic solutions are derived.

论文关键词:Super-KdV equation,Lamé equation,Jacobi elliptic function,Trigonal solutions,Hyperbolic solutions

论文评审过程:Available online 24 May 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.05.041