Exact Solutions of the Nonlinear Loaded Benjamin-Ono Equation

Abstract

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.

Exact Solutions for the Modified Burgers Equation with Additional Time-dependent Variable Coefficient

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“…Many direct methods of nonlinear evolutions equations have been developed to find solutions, such as tanh-function method [25], functional variable method [4,5,7,9,10], Hirota method [23], Backlund transform method [32], exp-function method [28], G/G ′ expansion method [6,8] and extended tanh-method [19] are used for searching the exact solutions [2,3,11,20,26,27].…”

New Exact Traveling Wave Solutions of the Non-linear (2+1)-dimensional Klein-gordon Equation

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The Problem of Location of Cattle Using RFID Devices

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