The homogeneous balance method is proposed for seeking the travelling wave solutions of the second-order Benjamin-Ono equation. Many exact traveling wave solutions of second-order Benjamin-Ono equation, which contain soliton like and periodic-like solutions are successfully obtained. This method is straightforward and concise, and it may also be applied to other nonlinear evolution equations.
Taghizadeh, Nasir; Mirzazadeh, Mohammad; and Farahrooz, Foroozan
Exact Soliton Solutions for Second-Order Benjamin-Ono Equation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
1, Article 31.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss1/31