Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation

doi:10.1088/1674-1056/22/5/050201

Abstract The Lie symmetry analysis is performed for coupled short plus (CSP) equation. We derive the infinitesimals that admit the classical symmetry group. Five types arise depending on the nature of the Lie symmetry generator. In all types, we find reductions in terms of system of ordinary differential equations, and exact solutions of the CSP equation are derived, which are compared with numerical solutions using classical fourth-order Runge-Kutta scheme.

Keywords: coupled short plus (CSP) equation Lie symmetric analysis Runge-Kutta scheme exact solutions

Received: 30 September 2012
Revised: 05 November 2012
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Jr	(Partial differential equations)
	02.60.Cb	(Numerical simulation; solution of equations)

Corresponding Authors: R. K. Gupta
E-mail: rajeshgupta@thapar.edu

Cite this article:

Vikas Kumar, R. K. Gupta, Ram Jiwari Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation 2013 Chin. Phys. B 22 050201

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Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation

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