Symmetry Reductions for a Generalized Fifth Order KdV Equation

Applied Mathematics and Nonlinear Sciences

de la Rosa R.¹  Garrido T.M.¹  Bruzón M.S.¹ 

[1] Department of Mathematics, University of Cadiz, Cádiz, Spain;

关键词: generalized fifth-order kdv;    lie symmetries;    optimal system;    exact solutions;    35c07;    35q35;    76m60;   

DOI  :  10.21042/AMNS.2017.2.00040

来源: DOAJ

【 摘 要 】

In this work, Lie symmetry analysis is performed on a generalized fifth-order KdV equation. This equation describes many nonlinear problems with great physical interest in mathematical physics, nonlinear dynamics and plasma physics, among them it is a useful model for the description of wave phenomena in plasma and solid state and internal solitary waves in shallow waters. Group invariant solutions are obtained which allow us to transform the equation into ordinary differential equations. Furthermore, taking into account the conservation laws that the ordinary differential equation admits we reduce the order of the equations. Finally, we obtain some exact solutions.

【 授权许可】

Unknown