Exact Traveling Wave Solutions to Benney- Luke Equation

Authors

  • Zahidul Islam Department of Mathematics, Dhaka University of Engineering & Technology, Gazipur
  • Mohammad Mobarak Hossain Department of Mathematics, Hamdard University Bangladesh
  • Md Abu Naim Sheikh Department of Mathematics, Dhaka University of Engineering & Technology, Gazipur

DOI:

https://doi.org/10.3329/ganit.v37i0.35721

Keywords:

Traveling Wave, Benney-Luke Equation, Sobolev type PDEs

Abstract

By using the improved (G¢/G) -expansion method, we obtained some travelling wave solutions of well-known nonlinear Sobolev type partial differential equations, namely, the Benney-Luke equation. We show that the improved (G¢/G) -expansion method is a useful, reliable, and concise method to solve these types of equations.

GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 1-14

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Published

2018-02-20

How to Cite

Islam, Z., Hossain, M. M., & Sheikh, M. A. N. (2018). Exact Traveling Wave Solutions to Benney- Luke Equation. GANIT: Journal of Bangladesh Mathematical Society, 37, 1–14. https://doi.org/10.3329/ganit.v37i0.35721

Issue

Vol. 37 (2017)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)