Periodic, Singular and Dark Solitons of a Generalized Geophysical KdV Equation by Using the Tanh-Coth Method

KdV equations have a lot of applications in fluid mechanics. The exact solutions the play vital role wave dynamics fluids. In this paper, some new generalized geophysical equation are computed with aid tanh-coth method. To implement procedure, we first convert PDEs to ODEs help transformation. Then, using system algebraic equations, obtain several soliton solutions. verify and clearly illustrate solutions, graphic presentations developed by giving parameter values, which then thoroughly discussed relevant components.