An Application of the Generalized Bernoulli Equation Method to the Fractional Nonlinear Kawahara Equation

Authors

  • OJO M.O.  Department of Physics, Adeyemi College of Education, Ondo, Nigeria
  • IJILA P.O.  Department of Physics, Adeyemi College of Education, Ondo, Nigeria
  • OMOLIKI A.J.  Department of Physics and Solar, Bowen University, Iwo, Nigeria
  • KOLEBAJE O.T.  Department of Physics, Adeyemi College of Education, Ondo, Nigeria

Keywords:

generalized Bernoulli equation method, nonlinear differential equations, travelling wave solutions, Kawahara equation

Abstract

An application of the generalized Bernoulli equation method to the fractional nonlinear fifth order Kawahara equation is presented in this paper. We applied this method to solve the fractional nonlinear Kawahara equation by using the generalized Bernoulli equation which has 13 different known solutions as the auxiliary equation. This method is a simple, reliable and powerful tool for solving the fifth order nonlinear Kawahara equation as it produces an interesting range of solutions.

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International Journal of Scientific Research in Science and Technology

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Published

2015-04-25

Issue

Volume 1, Issue 1, March-April-2015

Section

Research Articles

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How to Cite

[1]
OJO M.O., IJILA P.O., OMOLIKI A.J., KOLEBAJE O.T., " An Application of the Generalized Bernoulli Equation Method to the Fractional Nonlinear Kawahara Equation, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 1, Issue 1, pp.14-19, March-April-2015.