Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation

被引：2
|
作者：
Kudryashov, Nikolay A. [1 ]
Lavrova, Sofia F. [1 ]
机构：
[1] Natl Res Nucl Univ, Moscow Engn Phys Inst MEPhI, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源：
MATHEMATICS | 2024年 / 12卷 / 11期
基金：
俄罗斯科学基金会;
关键词：
derivative Schr & ouml; dinger equation; Painlev & eacute; test; integrability; analytical solution; simplest equation method; CHIRPED OPTICAL SOLITONS; KAUP-NEWELL EQUATION;
D O I：
10.3390/math12111632
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The second partial differential equation from the Kaup-Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean. The integrability of the explored equation in traveling wave variables is investigated using the Painlev & eacute; test. Periodic and solitary wave solutions of the studied equation are presented. The investigated equation belongs to the class of generalized nonlinear Schr & ouml;dinger equations and may be used for the description of optical solitons in a nonlinear medium.
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页数：13
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