Numerical study of the model described by the fourth order generalized nonlinear Schrödinger equation with cubic-quintic-septic-nonic nonlinearity

被引：11

作者：

Bayramukov, Alim A. ^{[1
]}

Kudryashov, Nikolay A. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 437卷

基金：

俄罗斯科学基金会;

关键词：

Soliton; Cubic-quintic-septic-nonic; Split -step Fourier method; Conservation; OPTICAL SOLITONS;

D O I：

10.1016/j.cam.2023.115497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the simplest equation method, exact solutions of the model described by the fourth order generalized nonlinear Schrodinger equation with cubicquintic-septicnonic form of nonlinearity are obtained. Some of the main properties of the analytical model are established, such as dispersion relation, conservation of energy and linear instability. The split-step Fourier method is used to derive a numerical scheme for solving the model. The reflection of the properties of the analytical model in the numerical scheme is confirmed. Numerical simulations of the exact solutions of the model are performed, and approximation errors are measured. A numerical experiment is carried out on the interaction of two bright solitary waves.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：15

共 30 条

[1] Synchronized wave and modulation instability gain induce by the effects of higher-order dispersions in nonlinear optical fibers [J].

Abbagari, Souleymanou ;

Houwe, Alphonse ;

Akinyemi, Lanre ;

Inc, Mustafa ;

Doka, Serge Y. ;

Crepin, Kofane Timoleon .

OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (10)

[2]

Abramowitz M., 1966, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, V5th

[3] Bright, dark and hybrid multistrip optical soliton solutions of a non-linear Schrodinger equation using modified extended tanh technique with new Riccati solutions [J].

Ahmad, Shafiq ;

Salman ;

Ullah, Aman ;

Ahmad, Shabir ;

Akgul, Ali .

OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (03)

[4] Quasi-stationary non-Kerr law optical solitons [J].

Biswas, A .

OPTICAL FIBER TECHNOLOGY, 2003, 9 (04) :224-259

[5] 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

[6] 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation [J].

Biswas, Anjan .

PHYSICS LETTERS A, 2009, 373 (30) :2546-2548

[7] HIGH BIT RATE COMMUNICATION-SYSTEMS USING NON-LINEAR EFFECTS [J].

BLOW, KJ ;

DORAN, NJ .

OPTICS COMMUNICATIONS, 1982, 42 (06) :403-406

[8]

Boyd RW, 2008, NONLINEAR OPTICS, 3RD EDITION, P1

[9] A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrodinger equation [J].

Caplan, R. M. ;

Carretero-Gonzalez, R. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 251 :33-46

[10] Analytical treatment on the nonlinear Schriidinger equation with the parabolic law [J].

Han, Xiang-Lin ;

Hashemi, Mir Sajjad ;

Samei, Mohammad Esmael ;

Akgul, Ali ;

El Din, Sayed M. .

RESULTS IN PHYSICS, 2023, 49

← 1 2 3 →