Exact solutions and conservation laws of the fourth-order nonlinear Schrödinger equation for the embedded solitons

被引：0

作者：

Kudryashov N.A. ^{[1
]}

Nifontov D.R. ^{[1
]}

机构：

[1] Department of Applied Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe Shosse, Moscow

来源：

Optik | 2024年 / 303卷

基金：

俄罗斯科学基金会;

关键词：

Conservation law; Conservative quantity; Embedded solitons; Fourth-order nonlinear Schrödinger equation; Optical soliton;

D O I：

10.1016/j.ijleo.2024.171752

中图分类号：

学科分类号：

摘要：

The fourth-order nonlinear Schrödinger equation with four power nonlinearities is considered. The equation studied is the generalization of some well-known models and allows us to evaluate the influence various processes of pulse propagation. The main property of this equation is not integrability because the Cauchy problem for it cannot be solved by the inverse scattering transform. However this equation has some analytical solutions. Optical and embedded solitons corresponding to the considered mathematical model are given. Conservation laws of the partial differential equation for propagation pulses are found. Conservative quantities for the bright and embedded optical solitons are calculated. © 2024 Elsevier GmbH

引用

共 36 条

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