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A method for constructing exact solutions and application to Benjamin Ono equation
A method for constructing exact solutions and application to Benjamin Ono equation

Keywords: Benjamin Ono equation,nonlinear evolution equation,Weierstrass function solutions,exact solutions
Benjamin
,Ono方程,行波解,孤波解,周期解,非线性发展方程

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Abstract:

By using an improved projective Riccati equation method, this paper obtains several types of exact travelling wave solutions to the Benjamin Ono equation which include multiple soliton solutions, periodic soliton solutions and Weierstrass function solutions. Some of them are found for the first time. The method can be applied to other nonlinear evolution equations in mathematical physics.

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