Solutions of Two Nonlinear Evolution Equations Using Lie Symmetry and Simplest Equation Methods

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• 作者：Isaiah Elvis Mhlanga (1)
  Chaudry Masood Khalique (1)
  
• 关键词：35G20 ; 35C05 ; 35C07 ; Modified Camassa–Holm–Degasperis–Procesi (CH–DP) equation ; generalized Korteweg–de Vries (KdV) equation with two power nonlinearities ; Lie point symmetries ; simplest equation method
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：11
• 期：2
• 页码：487-496
• 全文大小：
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• 作者单位：Isaiah Elvis Mhlanga (1)
  Chaudry Masood Khalique (1)
  
  1. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho, 2735, Republic of South Africa
  
• ISSN：1660-5454

文摘

In this paper, we study two nonlinear evolution partial differential equations, namely, a modified Camassa–Holm–Degasperis–Procesi equation and the generalized Korteweg–de Vries equation with two power law nonlinearities. For the first time, the Lie symmetry method along with the simplest equation method is used to construct exact solutions for these two equations.