This work focuses on the propagation of waves water’s surface, which can be described via different mathematical models. Here, we apply generalized exponential rational function method (GERFM) to several nonlinear models surface wave identify their multiple solitary structures. We provide stability analysis and graphical representations for considered Additionally, this paper compares results o...

in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...

Department of Physics and Pre-Engineering Delaware State University, Dover, DE 19901-2277, USA Abstract The soliton perturbation theory is used to obtain adiabatic parameter dynamics of solitons due to the splitted regularized long wave equation in presence of perturbation terms. The adiabatic change of soliton velocity is also obtained in this paper. Mathematics Subject Classification: 35Q51, ...

We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term. Crank-Nicolson nonlinear-implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simu...