The exact solutions for the nonlinear variable-coefficient fifth-order Schr?dinger equation

被引：8

作者：

Li, Cheng'ao ^{[1
]}

Lu, Junliang ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Sch Stat & Math, Kunming 650221, Peoples R China

来源：

RESULTS IN PHYSICS | 2022年 / 39卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear variable-coefficient Schr?dinger; equation; Modified traveling wave transformation; Jacobian elliptic function expansion; Traveling wave solution; TRAVELING-WAVE SOLUTIONS; FUNCTION EXPANSION METHOD; FOKAS-LENELLS EQUATION; DIFFERENTIAL-EQUATIONS; SCHRODINGER-EQUATION; SOLITONS; BIFURCATION; BRIGHT;

D O I：

10.1016/j.rinp.2022.105708

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the paper, the nonlinear variable-coefficient fifth-order Schrodinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber. Firstly, by using the modified traveling wave transformation, the NLVS equation is changed into an ordinary equation. Secondly, by the Jacobian elliptic function expansion method for the ordinary equation, we obtain the exact solutions for the ordinary equation, and then, we obtain the exact solutions to the NLVS equation. These solutions mainly include three types: Jacobi elliptic function solutions, hyperbolic function solutions, and triangular function solutions. Finally, according to the special parameters, we show the figures of the exact solutions.

引用

页数：15

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