The extended tanh method for certain system of nonlinear ordinary differential equations

K. Krishnakumara,*

The extended tanh method for certain system of nonlinear ordinary differential equations

Authors :

K. Krishnakumar^a,*

Author Address :

^aDepartment of Mathematics, Pondicherry University, Kalapet, Puducherry--605 014, India.

*Corresponding author.

Abstract :

We propose a method to obtain Tanh-solution based on leading order analysis of Painlev`e test. The crucial aspect is that this point of view gives ``exactly truncation of the series expansion applicable to Tanh-method’’. This approach gives all possible leading orders of solutions. Each branches can be treated separately and obtained closed form solutions.

Keywords :

Ordinary differential equations, Tanh-method, Singularity analysis.

DOI :

Article Info :

Received : December 12, 2013; Accepted : January 21, 2014.