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

K. Krishnakumar

doi:10.26637/mjm202/005

Abstract

We propose a method to obtain Tanh-solution based on leading order analysis of Painlevè 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

Mathematics Subject Classification:

34G20

Authors Imprint References Funding Related Articles Downloads

K. Krishnakumar Department of Mathematics, Pondicherry University, Kalapet, Puducherry–605 014, India.

Pages: 133-140
Date Published: 01-04-2014
Vol. 2 No. 02 (2014): Malaya Journal of Matematik (MJM)

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