The Lakshmanan-Porsezian-Daniel model with arbitrary refractive index and its solution

被引：25
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ, MEPhI Moscow Engn Phys Inst, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源：
OPTIK | 2021年 / 241卷
基金：
俄罗斯基础研究基金会;
关键词：
Lakshmanan-Porsezian-Daniel equation; Arbitrary index; Solitary wave; Periodic wave; Optical soliton; TRAVELING-WAVE REDUCTION; OPTICAL SOLITONS; SCHRODINGER-EQUATION; BIREFRINGENT FIBERS; CONSERVATION-LAWS; PAINLEVE ANALYSIS; GENERAL-SOLUTION; DUAL-DISPERSION; POWER-LAW; COUPLE;
D O I：
10.1016/j.ijleo.2021.167043
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The generalized Lakshmanan-Porsezian-Daniel model with arbitrary refractive index is considered. The main problem that is solved for this nonlinear partial differential equation is the existence of exact solutions in the form of periodic and solitary waves. It is shown that for an arbitrary refractive index of the equation, there are solutions in the form of solitary waves corresponding to optical solitons. For the classical case of the Lakshmanan-Porsezian-Daniel equation at n = 1 and for new case at n = 21 the equation has a solution in the form of periodic waves. These exact solutions are expressed via the Jacobi and the Weierstrass elliptic functions.
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页数：7
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