Abstract and Applied Analysis (Jan 2014)

Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations

  • Isaiah Elvis Mhlanga,
  • Chaudry Masood Khalique

DOI
https://doi.org/10.1155/2014/679016
Journal volume & issue
Vol. 2014

Abstract

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We study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain solutions of the symmetric regularized long wave equation, while the travelling wave hypothesis approach along with the simplest equation method is utilized to obtain new exact solutions of the Klein-Gordon-Zakharov equations.