{The New Generalized of exp(-a(b)) Expansion Method And its Application To Some Complex  Nonlinear Partial Differential Equations

Alaaeddin Amin Moussa; Mohammad Ali Bashir; Lama Abdulaziz Alhakim

doi:10.24297/jam.v9i8.2242

{The New Generalized of exp(-a(b)) Expansion Method And its Application To Some Complex Nonlinear Partial Differential Equations

Authors

Alaaeddin Amin Moussa K.S.A , Qassim university
Mohammad Ali Bashir Faculty of Science, Alnillin University, Alkortom, Alsodan.
Lama Abdulaziz Alhakim Information System and Production Management College of Business & Economics, Qassim University, Buraidah,

DOI:

https://doi.org/10.24297/jam.v9i8.2242

Keywords:

Exact Solutions, Eckaus Equation, Nonlinear Schr\

Abstract

In this article, the generalized expansion method has been successfully implemented to seek traveling wave solutions of the Eckaus equation and the nonlinear Schr\"{o}dinger equation. The result reveals that the method together with the new ordinary differential equation is a very influential and effective tool for solving nonlinear partial differential equations in mathematical physics and engineering. The obtained solutions have been articulated by the hyperbolic functions, trigonometric functions and rational functions with arbitrary constants.

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Author Biographies

Mohammad Ali Bashir, Faculty of Science, Alnillin University, Alkortom, Alsodan.

Mathematics Department

Lama Abdulaziz Alhakim, Information System and Production Management College of Business & Economics, Qassim University, Buraidah,

Department of Management

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Published

2015-01-06

How to Cite

Moussa, A. A., Bashir, M. A., & Alhakim, L. A. (2015). {The New Generalized of exp(-a(b)) Expansion Method And its Application To Some Complex Nonlinear Partial Differential Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 9(8), 2905–2926. https://doi.org/10.24297/jam.v9i8.2242