Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations

被引：205
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 371卷
基金：
俄罗斯科学基金会;
关键词：
Optical soliton; Exact solution; Highly dispersive soliton; Nonlinear differential equation; Nonlinear Schrodiner equation; ELLIPTIC FUNCTION EXPANSION; KERR LAW NONLINEARITY; TANH-FUNCTION METHOD; OPTICAL SOLITONS; LOGISTIC FUNCTION; EVOLUTION; MODULATION;
D O I：
10.1016/j.amc.2019.124972
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hierarchy of the perturbed nonlinear Schrodinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary wave solutions of high-order nonlinear differential equations is presented. This approach allows us to significantly simplify symbolic calculations. The main idea of the method is that we use expressions of the dependent variable and its derivatives in the differential equation the polynomial form of the solitary wave. We find optical solitons with high dispersion order for nonlinear perturbed Schrodinger equations of the fourth, sixth, eighth, tenth and twelfth orders. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数：11
相关论文
共 30 条
[1]  
ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249
[2]  
[Anonymous], 2003, Handbook of Exact Solutions for Ordinary Differential Equations
[3]  
[Anonymous], 1991, Nonlinear evolution equations and inverse scattering
[4]   Highly dispersive optical solitons in absence of self-phase modulation by Jacobi's elliptic function expansion [J].
Biswas, Anjan ;
Ekici, Mehmet ;
Sonmezoglu, Abdullah ;
Belic, Milivoj R. .
OPTIK, 2019, 189 :109-120
[5]   Highly dispersive optical solitons with non-local nonlinearity by exp-function [J].
Biswas, Anjan ;
Ekici, Mehmet ;
Sonmezoglu, Abdullah ;
Belic, Milivoj R. .
OPTIK, 2019, 186 :288-292
[6]   Highly dispersive optical solitons with cubic-quintic-septic law by extended Jacobi's elliptic function expansion [J].
Biswas, Anjan ;
Ekici, Mehmet ;
Sonmezoglu, Abdullah ;
Belic, Milivoj R. .
OPTIK, 2019, 183 :571-578
[7]   Highly dispersive optical solitons with kerr law nonlinearity by extended Jacobi's elliptic function expansion [J].
Biswas, Anjan ;
Ekici, Mehmet ;
Sonmezoglu, Abdullah ;
Belic, Milivoj R. .
OPTIK, 2019, 183 :395-400
[8]   Highly dispersive optical solitons with Kerr law nonlinearity by F-expansion [J].
Biswas, Anjan ;
Ekicid, Mehmet ;
Sonmezoglu, Abdullah ;
Belic, Milivoj R. .
OPTIK, 2019, 181 :1028-1038
[9]   Optical soliton perturbation with fractional temporal evolution by generalized Kudryashov's method [J].
Biswas, Anjan ;
Sonmezoglu, Abdullah ;
Ekici, Mehmet ;
Mirzazadeh, Mohammad ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
OPTIK, 2018, 164 :303-310
[10]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
123