| Volume 8, Number 1, 2018, Pages 1-9 DOI：10.11948/2018.1 |
| On the exact solutions and conservation laws to the Benjamin-Ono equation |
| Melike Kaplan,Sait San,Ahmet Bekir |
| Keywords:Partial differential equations, symbolic computation, exact solutions, conservation laws, multiplier approach. |
| Abstract: |
| In the present work, we dealt with exact solutions and conservation laws of the Benjamin-Ono equation. We obtained exact solutions of given equation via the exp$(-\Phi (\xi ))$ method. The obtained solutions are included the hyperbolic functions, trigonometric functions and rational functions. By using the multiplier approach, the conservation laws of the mentioned equation was founded. |
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