ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION

Melike Kaplan; Sait San; Ahmet Bekir

doi:10.11948/2018.1

2018 Volume 8 Issue 1

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Melike Kaplan, Sait San, Ahmet Bekir. ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 1-9. doi: 10.11948/2018.1

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Melike Kaplan, Sait San, Ahmet Bekir. ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 1-9. doi: 10.11948/2018.1

ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION

Department of Mathematics-Computer, Eskisehir Osmangazi University, Meselik Campus, 26040, Turkey

Abstract

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(-Φ(ξ)) 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.
- Partial differential equations /
- symbolic computation /
- exact solutions /
- conservation laws /
- multiplier approach
MSC: 02.30.Jr;11.30.-j;11.10.Ef;02.70.Wz

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References

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