Dark and singular optical solutions with dual-mode nonlinear Schrodinger's equation and Kerr-law nonlinearity

被引：61

作者：

Jaradat, Imad ^{[1
]}

Alquran, Marwan ^{[1
]}

Momani, Shaher ^{[2
,3
]}

Biswas, Anjan ^{[4
,5
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math Stat, POB 3030, Irbid 22110, Jordan

[2] Univ Jordan, Dept Math, Fac Sci, Amman 11942, Jordan

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia

[4] Alabama A&M Univ, Dept Phys Chem & Math, Normal, AL 35762 USA

[5] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa

来源：

OPTIK | 2018年 / 172卷

关键词：

Dual-mode Schrodinger equation; Right-left moving waves; Tanh-coth-expansion method; MULTIPLE-SOLITON-SOLUTIONS; BURGERS;

D O I：

10.1016/j.ijleo.2018.07.069

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Recently, a new family of nonlinear physical models under the name of dual-mode nonlinear equations has been arisen. Several real-valued dual-mode equations associated with well-known single-mode equations such as KdV, mKdV, and Burgers' have been established and studied. In this study, we provide the first attempt to establish a complex-valued dual-mode equation that corresponds to the single-mode nonlinear Shrodinger equation. Accordingly, necessary conditions on the nonlinearity and dispersion parameters for the existence of two right-left (R-L) moving wave solutions are explored. Finally, graphical analysis is provided to validate the findings of this work.

引用

页码：822 / 825

页数：4

共 20 条

[1] A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg-de Vries-Burgers equation [J].