Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method
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Date
2024
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Abstract
In this work, the Benjamin-Bona-Mahoney-Burgers equation has been examined, which includes the
dual power-law nonlinearity and diffraction term. By using the modified exp-function method, the exact solutions of
the governing equation have been obtained. The resulting traveling wave solutions have been found to exhibit various
characteristics, such as being dark solitons, periodic, and singular, depending on the values of certain constants. To
further illustrate these solutions, 3D, 2D, and contour graphs have been displayed. To the best of our knowledge, this is
the first time in literature that the dark solitons, periodic soliton, and singular soliton solutions of considered equations
have been obtained by utilizing the modified exp-function method.