On the solution of certain higher-order local and nonlocal nonlinear equations in optical fibers using Kudryashov's approach

Abstract

Using Kudryashov's method we construct soliton solutions of a number of local partial differential equations relevant to optical fibers such as the Hirota equation and a fourth-order nonlinear PDE applicable for femtosecond pulses. We also explore the nature of transformations between such equations and their nonlocal counterparts and explicitly illustrate this connection for the complex modified KdV equation.