An Improved ((G'/G))-expansion Method for Solving Nonlinear PDEs in Mathematical Physics

Journal Article · Thu Sep 30 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3498416· OSTI ID:21428597

Zayed, Elsayed M. E.; Al-Joudi, Shorog ^[1]

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1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig (Egypt) and Mathematics Department, Faculty of Science, Taif University, P.O.Box 888, El-Taif (Saudi Arabia)

In the present article, we construct the traveling wave solutions of the (1+1)-dimensional coupled Hirota-Satsuma-KdV equations and the (1+1)-dimensional variant coupled Boussinesq system of equations by using an improved ((G'/G))-expansion method, where G satisfies the second order linear ordinary differential equation. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.

• OSTI ID: 21428597
• Journal Information: AIP Conference Proceedings, Vol. 1281, Issue 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498416; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
CALCULATION METHODS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
TRAVELLING WAVES
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS