Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation

Eskandar, Sajjad; Hoseini, Sayad Mohammad

doi:10.22103/jmmrc.2017.10555.1044

Nearly solitons for a perturbed higher-order nonlinear Schr𝑜̈dinger equation

Document Type : Research Paper

Authors

Sajjad Eskandar ¹
Sayad Mohammad Hoseini ²

¹ Department of mathematics, Factually of science, Vali-e-Asr university of Rafsanjan, Iran

² Department of Mathematics, Factually of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

10.22103/jmmrc.2017.10555.1044

Abstract

In the present paper we develop the soliton perturbation theory to
find nearly soliton solutions for a perturbed higher-order nonlinear Schr¨odinger
(PHNLS) equation. An integral expression for the first-order correction to the
wave is found and to avoid the secular terms, the dynamical systems for the
soliton parameters are found.

Keywords