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Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation

Authors: Hariom Sharma; Arora, Rajan;

Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation

Abstract

In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary differential equations. These ODEs are solved by power series method to obtain exact solution. The convergence of the power series is also discussed.

Keywords

General Mathematics

[1] Abdul Zahra, Khalid A. and Abdul Hussain, Mudhir A.: Exp-function method for solving nonlinear beam equation. Int. Math. Forum 6 (45-48) (2011) 2349{2359.

[2] Bluman, G. W. and Cole, J. D.: Similarity methods for di erential equations. Applied Mathematical Sciences, Vol. 13. Springer-Verlag, New York-Heidelberg (1974).

[3] Mal iet, Willy and Hereman, Willy: The tanh method. I. Exact solutions of nonlinear evolution and wave equations. Phys. Scripta 54 (6) (1996) 563{568.

[4] Olver, Peter J.: Applications of Lie groups to di erential equations. Graduate Texts in Mathematics. Springer-Verlag, New York (1993).

[5] Wazwaz, Abdul-Majid: One and two soliton solutions for the sinh-Gordon equation in (1 + 1), (2 + 1) and (3 + 1) dimensions. Appl. Math. Lett. 25 (12) (2012) 2354{2358. [OpenAIRE]

[6] Wang, Mingliang and Zhang, Jinliang and Li, Xiangzheng: Application of the GG0 -expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations. Appl. Math. Comput. 206 (1) (2008) 321{326.

Received: May 10, 2020 Accepted for publication: June 27, 2020 Communicated by: Giuseppe Gaeta

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