Sajjad Eskandar - Department of mathematics, Factually of science, Vali-e-Asr university of Rafsanjan, Iran
Sayad Mohammad Hoseini - Department of Mathematics, Factually of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
MURADIYE CIMDIKER - DEPARTMENTS OF MATHEMATICS, KIRKLARELI UNIVERSITY, ۳۹۱۰۰ KIRKLARELI, TURKEY,

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.

higher-order Schrödinger equation, IST, soliton perturbation theory, squared eigenfunctions