EXACT SOLUTIONS FOR THE MODIFIED KDV AND THE GENERALIZED KDV EQUATIONS VIA EXP-FUNCTION METHOD

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MANAFIAN HERIS JALIL; BAGHERI MAJID

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2010 | Volume:4 | Issue:2 (S.N. 8) Page(s): 75-95

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Information Journal Paper

Title

EXACT SOLUTIONS FOR THE MODIFIED KDV AND THE GENERALIZED KDV EQUATIONS VIA EXP-FUNCTION METHOD

Author(s)

MANAFIAN HERIS JALIL | BAGHERI MAJID | Issue Writer Certificate

Keywords

AND PHRASES: EXP-FUNCTION METHOD

MODIFIED KDV EQUA- TION

GENERALIZED KDV EQUATION

PERIODIC WAVE AND SOLITARY WAVE SOLU- TIONS

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (NLPDES)

Abstract

An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the GENERALIZED KDV EQUATION. The EFM was used to construct peri- odic wave and solitary wave solutions of nonlinear evolution equations (NLEEs). This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the Exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics and applied mathematics.

Cites

APPLICATION OF THE EXP-FUNCTION METHOD FOR SOLVING THE COMBINED KDV-MKDV AND GARDNER-KP EQUATIONS

References

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APA: Copy

MANAFIAN HERIS, JALIL, & BAGHERI, MAJID. (2010). EXACT SOLUTIONS FOR THE MODIFIED KDV AND THE GENERALIZED KDV EQUATIONS VIA EXP-FUNCTION METHOD . JOURNAL OF MATHEMATICAL EXTENSION, 4(2 (S.N. 8)), 75-95. SID. https://sid.ir/paper/572600/en

Vancouver: Copy

MANAFIAN HERIS JALIL, BAGHERI MAJID. EXACT SOLUTIONS FOR THE MODIFIED KDV AND THE GENERALIZED KDV EQUATIONS VIA EXP-FUNCTION METHOD . JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2010;4(2 (S.N. 8)):75-95. Available from: https://sid.ir/paper/572600/en

IEEE: Copy

JALIL MANAFIAN HERIS, and MAJID BAGHERI, “EXACT SOLUTIONS FOR THE MODIFIED KDV AND THE GENERALIZED KDV EQUATIONS VIA EXP-FUNCTION METHOD ,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 4, no. 2 (S.N. 8), pp. 75–95, 2010, [Online]. Available: https://sid.ir/paper/572600/en

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