The Periodic Solutions of the Model of Drop Formation on a Coated Vertical Fibre

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 241)

Abstract

Nonlinear differential equations and its systems are used to describe various processes in physics, biology, economics etc. There are a lot of methods to look for exact solutions of nonlinear differential equations: the inverse scattering transform, Hirota method, the Backlund transform, the truncated Painlev’e expansion. Here, we present a well known auxiliary equation method that produce new types of exact travelling wave solutions to nonlinear equations. In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order nonlinear ordinary differential equation with sixth-degree nonlinear term are presented to obtain novel exact solutions of the leading-order evolution equation which is the model of drop formation on a coated vertical fibre.

Keywords

The auxiliary equation technique The model of drop formation on a coated vertical fibre Wave solutions 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Mathematics, Science FacultyEge UniversityBornova-IzmirTurkey

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