Exact Solutions to the (2+1)-Dimensional Boussinesq Equation via exp(?(?))-Expansion Method

Authors

  • M. N. Alam
  • M. G. Hafez
  • M. A. Akbar Associate Professor
  • H. -O. -Roshid

DOI:

https://doi.org/10.3329/jsr.v7i3.17954

Keywords:

exp(?(?))-Expansion method, (2 1)-Dimensional Boussinesq equation, Traveling wave solutions, Solitary wave solutions.

Abstract

The exp(?(?))-expansion method is applied to find exact traveling wave solutions to the (2+1)-dimensional Boussinesq equation which is an important equation in mathematical physics. The traveling wave solutions are expressed in terms of the exponential functions, the hyperbolic functions, the trigonometric functions and the rational functions. The procedure is simple, direct and constructive without the help of a computer algebra system. The applied method will be used in further works to establish more new solutions for other kinds of nonlinear evolution equations arising in mathematical physics and engineering.

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Author Biography

M. N. Alam

Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh

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Published

2015-09-01

How to Cite

Alam, M. N., Hafez, M. G., Akbar, M. A., & -Roshid, H. .-O. (2015). Exact Solutions to the (2+1)-Dimensional Boussinesq Equation via exp(?(?))-Expansion Method. Journal of Scientific Research, 7(3), 1–10. https://doi.org/10.3329/jsr.v7i3.17954

Issue

Vol. 7 No. 3 (2015)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

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