Optical and analytical soliton solutions to higher order non-Kerr nonlinear Schrodinger dynamical model

被引：26

作者：

Seadawy, Aly R. ^{[1
]}

Rizvi, Syed T. R. ^{[2
]}

Akram, Urooj ^{[2
]}

Naqvi, S. Kamran ^{[2
]}

机构：

[1] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia

[2] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, Pakistan

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 179卷

关键词：

HNLSE; Analytical solutions; Optical soliton; WAVE SOLUTIONS; MODULATION INSTABILITY; EQUATION; DISPERSION;

D O I：

10.1016/j.geomphys.2022.104616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the propagation of the short pulse optical model governed by higher order nonlinear Schrodinger equation (HNLSE) with non-Kerr nonlinearity. The model is used to describe the propagation of ultrashort photons in highly nonlinear media. Upon establishing the general framework, we discuss the statics and dynamics of HNLSE by employing an extended modified auxiliary equation mapping (EMAEM) architectonic to obtain some new solitary wave solutions like bright dromion (soliton), domain wall, singular, periodic, doubly periodic, trigonometric, rational and hyperbolic solutions etc. Obtained optical soliton solutions are analysed graphically to represent features like as width, amplitude, and structure of solitons. We will also discuss our governing model for M-shaped, Homoclinic breathers, multiwave, kink cross rational, and interaction of M -shaped with 1 and 2 kink solutions with the help of various ansatz transformations.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：20

共 64 条

[1] A generalized auxiliary equation method and its applications [J].

Abdou, M. A. .

NONLINEAR DYNAMICS, 2008, 52 (1-2) :95-102

[2]

Ablowitz MJ., 2004, Discrete and Continuous Nonlinear Schrdinger Systems. London Mathematical Society Lecture Note Series, V302

[3] Numerical solution of Korteweg-de Vries-Burgers equation by the modified variational iteration algorithm-II arising in shallow water waves [J].

Ahmed, Hijaz ;

Seadawy, Aly R. ;

Khan, Tufail A. .

PHYSICA SCRIPTA, 2020, 95 (04)

[4] M-shaped rational solitons and their interaction with kink waves in the Fokas-Lenells equation [J].

Ahmed, Iftikhar ;

Seadawy, Aly R. ;

Lu, Dianchen .

PHYSICA SCRIPTA, 2019, 94 (05)

[5] Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2 [J].

Ahmed, S. ;

Ashraf, R. ;

Seadawy, Aly R. ;

Rizvi, S. T. R. ;

Younis, M. ;

Althobaiti, Ali ;

El-Shehawi, Ahmed M. .

RESULTS IN PHYSICS, 2021, 25

[6] Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrodinger equation with Caputo derivative [J].

Akinyemi, Lanre ;

Nisar, Kottakkaran Sooppy ;

Saleel, C. Ahamed ;

Rezazadeh, Hadi ;

Veeresha, Pundikala ;

Khater, Mostafa M. A. ;

Inc, Mustafa .

RESULTS IN PHYSICS, 2021, 31

[7] Traveling wave solutions for the fractional Wazwaz-Benjamin-Bona-Mahony model in arising shallow water waves [J].

Akram, U. ;

Seadawy, Aly R. ;

Rizvi, S. T. R. ;

Younis, M. ;

Althobaiti, Saad ;

Sayed, Samy .

RESULTS IN PHYSICS, 2021, 20

[8]

Akram U., 2021, MOD PHYS LETT B

[9] A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method [J].

Albuohimad, Basim ;

Adibi, Hojatollah ;

Kazem, Saeed .

AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) :1897-1905

[10] Conserved quantities along with Painleve analysis and optical solitons for the nonlinear dynamics of Heisenberg ferromagnetic spin chains model [J].

Ali, I. ;

Seadawy, A. R. ;

Rizvi, S. T. R. ;

Younis, M. ;

Ali, K. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2020, 34 (30)

← 1 2 3 4 5 6 7 →