Exact Solutions of Generalized Boussinesq‐Burgers Equations and (2+1)‐Dimensional Davey‐Stewartson Equations

Isaiah Elvis Mhlanga and Chaudry Masood Khalique

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq‐Burgers equations and (2+1)‐dimensional Davey‐Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq‐Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the (2+1)‐dimensional Davey‐Stewartson equations.

Date: 2012
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https://doi.org/10.1155/2012/389017

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:389017

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