Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity

被引：17
|
作者：
Kudryashov, Nikolay A. [1 ,2 ]
机构：
[1] Nat Res Nucl Univ, MEPhI Moscow Engn Phys Inst, 31 Kashirskoe Shosse, Moscow 115409, Russia
[2] Nat Res Ctr Kurchatov Ctr, 1 Akademika Kurchatova Sq, Moscow, Russia
来源：
PHYSICS LETTERS A | 2022年 / 448卷
基金：
俄罗斯科学基金会;
关键词：
Complex; Radhakrishnan-Kundu-Lakshmanan equation; Exact solution; Optical soliton; Elliptic function; Law of four nonlinearity powers; OPTICAL SOLITONS; PERTURBATION; CONSTRUCTION; STABILITY;
D O I：
10.1016/j.physleta.2022.128327
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The complex Radhakrishnan-Kundu-Lakshmanan equation having polynomial law of nonlinearity with four powers is considered. The Cauchy problem for this partial differential equation cannot be solved by the inverse scattering transform and the exact solutions of this equation is looked for taking into account the traveling wave variables. The overdetermined system of nonlinear ordinary differential equations for the real and imaginary parts of the ordinary differential equation obtained is presented. The compatibility conditions are obtained. First integral of the nonlinear differential equation is found. It is shown that there exist periodic solutions of the mathematical model. Solitary wave solutions of the complex Radhakrishnan-Kundu-Lakshmanan equation are given in the form of implicit functions using the direct and special methods. (c) 2022 Elsevier B.V. All rights reserved.
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页数：7
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