Instability modulation for the (2+1)-dimension paraxial wave equation and its new optical soliton solutions in Kerr media

被引：67

作者：

Gao, Wei ^{[1
,2
]}

Ismael, Hajar F. ^{[3
,4
]}

Bulut, Hasan ^{[4
]}

Baskonus, Haci Mehmet ^{[1
]}

机构：

[1] Harran Univ, Dept Math & Sci Educ, Sanliurfa, Turkey

[2] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Yunnan, Peoples R China

[3] Univ Zakho, Dept Math, Fac Sci, Zakho, Iraq

[4] Firat Univ, Dept Math, Fac Sci, Elazig, Turkey

来源：

PHYSICA SCRIPTA | 2020年 / 95卷 / 03期

关键词：

instability modulation; praxial wave equation; modified auxiliary expansion method; PORSEZIAN-DANIEL MODEL; VECTOR MULTIPOLE; VORTEX SOLITONS; STANDING WAVES; LUMP SOLUTIONS; HEAT-TRANSFER; COUPLE; DISPERSION; STABILITY; FLOW;

D O I：

10.1088/1402-4896/ab4a50

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we use the modified auxiliary expansion method to seek some new solutions of the paraxial nonlinear Schrodinger equation. The solutions have a hyperbolic function, trigonometric function, exponential function, and rational function forms The linear stability analysis of paraxial NLSE is also presented to study the modulational instability (MI). Two cases when the instability modulation becomes to occur are investigated. Depending on MI cases, the MI gain spectrum are also investigated and presented graphically. All solutions are new and verified the main equation of the paraxial wave equation. Moreover, the constraint conditions for the existence of soliton solutions are also showed.

引用

页数：12

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