Soliton solutions for the Boussinesq equations

Jawad, Anwar Ja'afar Mohamad

J. Math. Comput. Sci. 3 (2013), 254–265

Soliton solutions for the Boussinesq equations

Anwar Ja'afar Mohamad Jawad

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Abstract

Based on three methods, exact solutions are obtained for cubic Boussinesq and modified Boussinesq equations. These are tanh method, sech method, and sine-cosine method. The obtained solutions contain solitary waves. The results reveal are very effective, convenient and quite accurate to such types of partial differential equations comparing with other methods.

Published: 2 March 2013
Volume: 3 (2013)
License: CC BY 3.0

Copyright © 2013 Anwar Ja'afar Mohamad Jawad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. J. M. Jawad, Soliton solutions for the Boussinesq equations, J. Math. Comput. Sci. 3 (2013), 254–265.

BibTeX

@article{Jawad2013,
  author  = {Jawad, Anwar Ja'afar Mohamad},
  title   = {Soliton solutions for the Boussinesq equations},
  journal = {J. Math. Comput. Sci.},
  volume  = {3},
  year    = {2013},
  pages   = {254--265},
  doi     = {}
}