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An Improved (G `/G)-expansion Method for Solving Nonlinear PDEs in Mathematical Physics
Faculty
Science
Year:
2010
Type of Publication:
InProcceding
Pages:
Authors:
Zayed, Elsayed M. E, Al-Joudi, Shorog
Journal:
AMER INST PHYSICS
Volume:
Research Area:
Engineering; Mathematics; Physics
ISSN
ISI:000289661501213
Keywords :
Improved (G `/G)-expansion method, Traveling wave solutions, Coupled Hirota-Satsuma-KdV equations, Variant Boussinesq system of equations, Solitary solutions
Abstract:
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.
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