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NEW EXACT SOLUTIONS OF COUPLED (2+1)-DIMENSIONAL NONLINEAR SYSTEMS OF SCHRÖDINGER EQUATIONS

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  03 May 2011

F. KHANI ,
M. T. DARVISHI ,
A. FARMANY  and
L. KAVITHA
F. KHANI
Affiliation:
Young Researchers Club, Islamic Azad University, Ilam Branch, Iran (email: farzad_khani59@yahoo.com)
M. T. DARVISHI
Affiliation:
Department of Mathematics, Razi University, Kermanshah, Iran (email: darvishimt@yahoo.com)
A. FARMANY*
Affiliation:
Islamic Azad University, Ilam Branch, Iran (email: a.farmany@usa.com)
L. KAVITHA
Affiliation:
Department of Physics, Periyar University, Salem-636 011, India (email: louiskavitha@yahoo.co.in)
*
✉For correspondence; e-mail: a.farmany@usa.com
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Abstract

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The Exp-function method is applied to construct a new type of solution of the coupled (2+1)-dimensional nonlinear system of Schrödinger equations. It is shown that the method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

Keywords

Schrödinger equationsExp-function methodexact solutionnonlinear evolution equations

MSC classification

Secondary: 65M99: None of the above, but in this section 35Q90: PDEs in connection with mathematical programming
Type
Research Article
Information
The ANZIAM Journal , Volume 52 , Issue 1 , July 2010 , pp. 110 - 121
Copyright
Copyright © Australian Mathematical Society 2011

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