Exact Solutions of the Nonlinear Loaded Benjamin-Ono Equation
Bazar BabajanovDepartment of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench, 220100, UZBEKISTANFakhriddin Abdikarimov
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In this paper, we investigate the non-linear loaded two-dimensional Benjamin-Ono equation by the functional variable method. The advantage of this method is reliability and efficiency. Using this method we obtained exact solitary and periodic wave solutions. The solving procedure is very simple and the traveling wave solutions of this equation are demonstrated by hyperbolic and trigonometric functions. The graphical representations of some obtained solutions are demonstrated to better understand their physical features.
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