EXACT TRAVELING WAVE SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS

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KUMAR HITENDER; CHAND FAKIR

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Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2014 | Volume:8 | Issue:1 Page(s): 1-10

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Title

EXACT TRAVELING WAVE SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS

Author(s)

KUMAR HITENDER | CHAND FAKIR | Issue Writer Certificate

Keywords

SOLITON NONLINEAR EVOLUTION EQUATION F-EXPANSION METHOD PROJECTIVE RICCATI EQUATION METHOD

Abstract

Using a traveling wave reduction technique, we have shown that Maccari equation, (2+1) -dimensional nonlinear Schrodinger equation, medium equal width equation, (3+1) -dimensional modified KdV–Zakharov–Kuznetsev equation, (2+1) -dimensional long wave-short wave resonance interaction equation, perturbed nonlinear Schro¨dinger equation can be reduced to the same family of auxiliary elliptic-like equations. Then using extended F-expansion and projective Riccati equation methods, many types of exact traveling wave solutions are obtained.With the aid of solutions of the elliptic-like equation, more explicit traveling wave solutions expressed by the hyperbolic functions, trigonometric functions and rational functions are found out. It is shown that these methods provide a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. A variety of structures of the exact solutions of the elliptic-like equation are illustrated.

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References

APPLICATIONS OF EXTENDED F-EXPANSION AND PROJECTIVE RICCATI EQUATION METHODS TO (2+1)-DIMENSIONAL SOLITON EQUATIONS

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APA: Copy

KUMAR, HITENDER, & CHAND, FAKIR. (2014). EXACT TRAVELING WAVE SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 8(1), 1-10. SID. https://sid.ir/paper/318785/en

Vancouver: Copy

KUMAR HITENDER, CHAND FAKIR. EXACT TRAVELING WAVE SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2014;8(1):1-10. Available from: https://sid.ir/paper/318785/en

IEEE: Copy

HITENDER KUMAR, and FAKIR CHAND, “EXACT TRAVELING WAVE SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 8, no. 1, pp. 1–10, 2014, [Online]. Available: https://sid.ir/paper/318785/en

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