The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons

被引：18

作者：

Baleanu, Umitru ^{[1
,2
,3
]}

Hosseini, Kamyar ^{[4
]}

Salahshour, Soheil ^{[5
]}

Sadri, Khadijeh ^{[4
]}

Mirzazadeh, Mohammad ^{[6
]}

Park, Choonkil ^{[7
]}

Ahmadian, Ali ^{[8
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

[2] Inst Space Sci, Magurele, Romania

[3] China Med Univ, Dept Med Res, Taichung 40447, Taiwan

[4] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran

[5] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey

[6] Univ Guilan, Dept Engn Sci, Fac Technol & Engn, Rudsar Vajargah 4489163157, Iran

[7] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[8] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 09期

关键词：

(2+1)-dimensional hyperbolic nonlinear Schrodinger equation; electromagnetic fields; traveling wave transformation; exponential and Kudryashov methods; bright and dark solitons; MODEL;

D O I：

10.3934/math.2021556

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A comprehensive study on the (2+1)-dimensional hyperbolic nonlinear Schrodinger (2D-HNLS) equation describing the propagation of electromagnetic fields in self-focusing and normally dispersive planar wave guides in optics is conducted in the current paper. To this end, after reducing the 2D-HNLS equation to a one-dimensional nonlinear ordinary differential (1D-NLOD) equation in the real regime using a traveling wave transformation, its optical solitons are formally obtained through a group of well-established methods such as the exponential and Kudryashov methods. Some graphical representations regarding optical solitons that are categorized as bright and dark solitons are considered to clarify the dynamics of the obtained solutions. It is noted that some of optical solitons retrieved in the current study are new and have been not retrieved previously.

引用

页码：9568 / 9581

页数：14

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