Approximate Stationary Solitons of the Fifth Order Singularly Perturbed KdV-Type Equation

Abstract

Stationary solitons of the fth order singularly perturbed KdV-type equation are investigated. The second order approximate solution to fth order singularly perturbed KdV-type equation and third order approximate solution to fth order singularly perturbed KdV equation are obtained. It is shown that the properties of stationary solitons are dependent on nonlinear coecient and power p, the coecient of 3-order dispersion and perturbed coecient .