Higher-Order Nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms: A model for sub-10fs pulse propagation

TL;DR

This paper analytically solves a higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms, modeling sub-10 femtosecond pulse propagation in highly nonlinear optical materials.

Contribution

It introduces a new analytical approach to the HNLS equation with derivative non-Kerr terms and explores novel bright and dark solitary wave solutions.

Findings

Derived explicit bright and dark solitary wave solutions.

Estimated nonlinear coefficients suitable for sub-10fs pulse propagation.

Validated the model parameters for realistic highly nonlinear waveguides.

Abstract

We analytically solved the higher-order nonlinear Schrodinger (HNLS) equation with non-Kerr nonlinearity under some parametric conditions and investigated explicitly bright and dark solitary wave solutions. Periodic wave solutions are also presented. The functional form of the bright and dark solitons presented are different from fundamental known sech(.) and tanh(.) respectively. We have estimated theoretically the size of the derivative non-Kerr nonlinear coefficients of the HNLS equation that agreed the reality of the waveguide made of highly nonlinear optical materials, could be used as the model parameters for sub-10fs pulse propagation.