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1 – 1 of 1Xiao-rong Kang, Xian Daquan and Zhengde Dai
– The purpose of this paper is to find new non-traveling wave solutions and study its localized structure of Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation.
Abstract
Purpose
The purpose of this paper is to find new non-traveling wave solutions and study its localized structure of Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation.
Design/methodology/approach
The authors apply the Lie group method twice and combine with the Exp-function method and Riccati equation mapping method to the (2+1)-dimensional CDGKS equation.
Findings
The authors have obtained some new non-traveling wave solutions with two arbitrary functions of time variable.
Research limitations/implications
As non-linear evolution equations is characterized by rich dynamical behavior, the authors just found some of them and others still to be found.
Originality/value
These results may help the authors to investigate some new localized structure and the interaction of waves in high-dimensional models. The new non-traveling wave solutions with two arbitrary functions of time variable are obtained for CDGKS equation using Lie group approach twice and combining with the Exp-function method and Riccati equation mapping method by the aid of Maple.
Details