APPLICATION OF THE TAN (PHI/2)-EXPANSION METHOD FOR SOLVING SOME PARTIAL DIFFERENTIAL EQUATIONS

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MANAFIAN J.; AZIMI M.R.

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Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2017 | Volume:3 | Issue:9 Page(s): 77-92

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Title

APPLICATION OF THE TAN (PHI/2)-EXPANSION METHOD FOR SOLVING SOME PARTIAL DIFFERENTIAL EQUATIONS

Author(s)

MANAFIAN J. | AZIMI M.R. | Issue Writer Certificate

Keywords

IMPROVED TAN (φ/2)-EXPANSION METHODQ1

KUNDU–ECKHAUS EQUATIONQ1

GERDJIKOV–IVANOV MODELQ1

SOLITON WAVE SOLUTIONSQ1

Abstract

In this paper, the improved -expansion method is proposed to solve the KUNDU–ECKHAUS EQUATION and GERDJIKOV–IVANOV MODEL. The applied method are analytical methods to obtaining the exact solutions of nonlinear equations. Here, the aforementioned methods are used for constructing the soliton, periodic, rational, singular and solitary wave solutions for solving some equations. We obtained further solutions comparing this method with other methods. These solutions might play important role in engineering and physics fields. Being concise and straightforward, the method are applied for such problems. In addition, by using Matlab, some graphical simulations were done to see the behavior of these solutions.

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APA: Copy

MANAFIAN, J., & AZIMI, M.R.. (2017). APPLICATION OF THE TAN (PHI/2)-EXPANSION METHOD FOR SOLVING SOME PARTIAL DIFFERENTIAL EQUATIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 3(9), 77-92. SID. https://sid.ir/paper/257230/en

Vancouver: Copy

MANAFIAN J., AZIMI M.R.. APPLICATION OF THE TAN (PHI/2)-EXPANSION METHOD FOR SOLVING SOME PARTIAL DIFFERENTIAL EQUATIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2017;3(9):77-92. Available from: https://sid.ir/paper/257230/en

IEEE: Copy

J. MANAFIAN, and M.R. AZIMI, “APPLICATION OF THE TAN (PHI/2)-EXPANSION METHOD FOR SOLVING SOME PARTIAL DIFFERENTIAL EQUATIONS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 3, no. 9, pp. 77–92, 2017, [Online]. Available: https://sid.ir/paper/257230/en

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