Volume no :56, Issue no: 1, March (2019)

Journal of Mathematical Sciences: Advances and Applications

NEW APPROACH OF METHOD AND NEW APPROACH OF GENERALIZED METHOD FOR THE COUPLED RAMANI EQUATION

Author's: Guiying Chen
Pages: [39] - [52]
Received Date: March 19, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122038

Abstract

By using two extended methods, new approach of method and new approach of generalized method, the coupled Ramani equation is studied, new families of exact solutions with arbitrary parameters are obtained including the hyperbolic functions, the trigonometric functions and the rational functions. In methods, the nonlinear auxiliary equation is implemented. When the parameters in the auxiliary equation are taken as special values, the new obtained solutions are degenerated to the known solutions appear in the previous literatures. This show that these two methods are effective and powerful.

Keywords

coupled Ramani equation, new approach of method, new approach of generalized method, exact solution.