Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics
Abdulla – Al – Mamun, Nur Hasan Mahmud Shahen, Samsun Nahar Ananna, Md. Asaduzzaman, Foyjonnesa
Abstract
)-expansion technique through the computational software Mathematica. The unique solutions derived by the process defined are articulated with the arrangement of the functions tanh, sech; tan, sec; coth, cosech, and cot, cosec. With three-dimensional (3D), two dimensional (2D) and contour graphics, some of the latest solutions created have been envisaged, selecting appropriate arbitrary constraints to illustrate their physical representation. The outcomes were obtained to determine the power of the completed technique to calculate the exact solutions of the equations of the WBBM that can be used to apply the nonlinear water model in the ocean and coastal engineering. All the solutions given have been certified by replacing their corresponding equations with the computational software Mathematica.