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

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Proceedings of the Seventh International Conference on Management Science and Engineering Management

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

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Science Faculty, Ege University, Bornova-Izmir, 35100, Turkey

    Zehra Pinar & Turgut Özis

Authors
  1. Zehra Pinar
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  2. Turgut Özis
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Corresponding author

Correspondence to Turgut Özis .

Editor information

Editors and Affiliations

  1. Business School, Sichuan University, Chengdu, China, People's Republic

    Jiuping Xu

  2. Drexel University, Philadelphia, USA

    John A. Fry

  3. LeBow College of Business Department of Decision Sciences, Drexel University, Philadelphia, Pennsylvania, USA

    Benjamin Lev

  4. Azerbaijan National Academy of Sciences, Institute of Cybernetics, Baku, Azerbaijan

    Asaf Hajiyev

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Pinar, Z., Özis, T. (2014). The Periodic Solutions of the Model of Drop Formation on a Coated Vertical Fibre. In: Xu, J., Fry, J., Lev, B., Hajiyev, A. (eds) Proceedings of the Seventh International Conference on Management Science and Engineering Management. Lecture Notes in Electrical Engineering, vol 241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40078-0_16

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