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

Melike Kaplan | Zendy; Sait San | Zendy; Ahmet Bekir | Zendy

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

Author(s) -

Melike Kaplan,

Sait San,

Ahmet Bekir

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1

Subject(s) - conservation law , mathematics , trigonometric functions , mathematical analysis , work (physics) , partial differential equation , exact differential equation , exact solutions in general relativity , hyperbolic function , law , first order partial differential equation , physics , political science , geometry , thermodynamics

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.

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