On nonlinear differential equation with exact solutions having various pole orders

N.A. Kudryashov

Chaos, Solitons & Fractals, 2015, vol. 75, issue C, 173-177

Abstract: We consider a nonlinear ordinary differential equation having solutions with various movable pole order on the complex plane. We show that the pole order of exact solution is determined by values of parameters of the equation. Exact solutions in the form of the solitary waves for the second order nonlinear differential equation are found taking into account the method of the logistic function. Exact solutions of differential equations are discussed and analyzed.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:75:y:2015:i:c:p:173-177

DOI: 10.1016/j.chaos.2015.02.016

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