| Volume 5, Number 4, 2015, Pages 613-625 DOI：10.11948/2015048 |
| On some new analytical solutionsforthe (2+1)-dimensional burgers equation and the special type of dodd_bullough_Mikhailov equation |
| Haci Mehmet Baskonus,Hasan Bulut |
| Keywords:The Generalized Kudryashov method, the (2+1)-dimensional Burgers equation, special type of the Dodd-Bullough-Mikhailov equation, soliton solutions,rational function solutions, trigonometric function solutions, hyperbolic function solutions |
| Abstract: |
| Some new travelling wave transform methods are very importantfor obtaining analytical solutions of special type of nonlinear partial differentialequations (NLPDEs). Some of these solutions of NLPDEs may be inthe different forms such as rational function solutions, trigonometric functionsolutions, hyperbolic function solutions, exponential function solutions andJacobi elliptic function solutions. These forms tell us the various propertiesof the NLPDEs from scientifical applications to engineering.In this research, we have studied to obtain the analytical solution ofthe nonlinear (2+1)-dimensional Burgers equation which is named from JohannesMartinus Burgers and the nonlinear special type of the Dodd-Bullough-Mikhailov equation introduced to the literature by Roger Dodd, Robin Bullough,and Alexander Mikhailov. |
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