Bifurcation and optical solutions of the higher order nonlinear Schrödinger equation

被引：0
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作者：
Eric Tala-Tebue
Cedric Tetchoka-Manemo
Mustafa Inc
Geh Wilson Ejuh
Rubayyi T. Alqahtani
机构：
[1] Fotso Victor University Institute of Technology,Unite de Recherche d’Automatique et Informatique Apliquee (UR
[2] University of Bamenda Cameroon/University of Dschang,AIA), Department of Telecommunication and Network Engineering
[3] Firat University,Department of Physics, Faculty of Sciences
[4] China Medical University,Department of Mathematics
[5] University of Dschang,Department of Medical Research
[6] University of Bamenda,IUT
[7] NAHPI,FV Bandjoun, Department of General and Scientific Studies
[8] Imam Mohammad Ibn Saud Islamic University (IMSIU),Department of Electrical and Electronic Engineering
来源：
Optical and Quantum Electronics | 2023年 / 55卷 / 5期
关键词：
Modified Benjamin-Bona-Mahony equation; New types of exact analytical solutions; Riccati-Bernoulli sub-ODE method;
D O I：
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学科分类号：
摘要：
In this paper, we employ the bifurcation to predict and construct the exact solutions of the higher order nonlinear Schrödinger equation (NLSE). We proceed to discussing the bifurcation of phase portraits and we obtain the general solutions of the higher order equation using only analytical approach. We productively achieve exact solutions involving parameters such as hyperbolic solution, Jacobi elliptic function (JEF) and dark soliton which are novel solutions. In addition, we also plot the 3D surface of some solutions obtained and provide some interpretations. It is acknowledged that the method employed here offers a more esteemed mathematical instrument for acquiring analytical answers to several nonlinear equations.
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