A Novel Investigation on Propagation of Envelop Optical Soliton Structure Through a Dispersive Medium in the Nonlinear Whitham–Broer–Kaup Dynamical Equation.

The nonlinear Whitham-Broer-Kaup dynamical equation under investigation on the base of auxiliary equation approach. We secured the exact soliton solutions of nonlinear Whitham-Broer-Kaup dynamical equation in this investigation by computational simulation. The Whitham-Broer-Kaup equation is the important nonlinear evolution equation which describe changes in the wave envelope as it propagates through a dispersive medium. In this study, the explored exact soliton solutions have different and interested physical shape like kink solitons, bright solitons, anti-kink solitons, dark solitons, periodic wave solitons and mixed solitons. The graphical analysis of explored soliton solutions visualized in 2-dim, 3-dim and contour plotting by utilized the numerical simulation with computational software Mathematica. The complete investigation shed light to the utilized approach that more powerful, effective, concise and easy to use for the exploration of analytical soliton solutions of variety of nonlinear equations. [ABSTRACT FROM AUTHOR]