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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50201-050201.doi: 10.1088/1674-1056/22/5/050201

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

Vikas Kumar, R. K. Gupta, Ram Jiwari

School of Mathematics and Computer Applications, Thapar University, Patiala 147004, India

收稿日期:2012-09-30 修回日期:2012-11-05 出版日期:2013-04-01 发布日期:2013-04-01

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

Vikas Kumar, R. K. Gupta, Ram Jiwari

School of Mathematics and Computer Applications, Thapar University, Patiala 147004, India

Received:2012-09-30 Revised:2012-11-05 Online:2013-04-01 Published:2013-04-01
Contact: R. K. Gupta E-mail:rajeshgupta@thapar.edu

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

02.30.Jr (Partial differential equations) 02.60.Cb (Numerical simulation; solution of equations)

Vikas Kumar, R. K. Gupta, Ram Jiwari. Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation[J]. 中国物理B, 2013, 22(5): 50201-050201.

Vikas Kumar, R. K. Gupta, Ram Jiwari. Comparative study of travelling wave and numerical solutions for the coupled short pulse (CSP) equation[J]. Chin. Phys. B, 2013, 22(5): 50201-050201.

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

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

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