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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

12 Issues per year


IMPACT FACTOR 2016: 1.432

Cite Score 2016: 1.35

SCImago Journal Rank (SJR) 2016: 0.368
Source Normalized Impact per Paper (SNIP) 2016: 0.594

Online
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1865-7109
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Volume 65, Issue 3

Issues

New Exact Travelling Wave Solutions of Nonlinear Coagulation Problem with Mass Loss

El-Said A. El-Wakil
  • Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Essam M. Abulwafa
  • Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Mohammed A. Abdou
  • Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
  • Faculty of Education for Girls, Physics Department, King Kahlid University, Bisha, Saudia Arabia
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-2010-0309

This paper suggests a generalized F-expansion method for constructing new exact travelling wave solutions of a nonlinear coagulation problem with mass loss. This method can be used as an alternative to obtain analytical and approximate solutions of different types of kernel which are applied in physics. The nonlinear kinetic equation, which is an integro differential equation, is transformed into a differential equation using Laplace’s transformation. The inverse Laplace transformation of the solution gives the size distribution function of the system.

As a result, many exact travelling wave solutions are obtained which include new periodic wave solutions, trigonometric function solutions, and rational solutions. The method is straightforward and concise,and it can also be applied to other nonlinear evolution equations arising in mathematical physics.

Keywords : Nonlinear Coagulation Problem; Mass Loss; New Exact Travelling Solutions; Laplace Transform

About the article

Received: 2008-11-03

Revised: 2009-10-07

Published Online: 2014-06-02

Published in Print: 2010-03-01


Citation Information: Zeitschrift für Naturforschung A, Volume 65, Issue 3, Pages 209–214, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2010-0309.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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