Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrodinger Model

被引：0

作者：

Bica, Ion ^{[1
]}

Mucalica, Ana ^{[1
]}

机构：

[1] MacEwan Univ, Dept Math & Stat, 10700 104 Ave NW, Edmonton, AB T5J 4S2, Canada

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 02期

关键词：

NLS; self-focusing; defocusing; dispersive; nonlinearity; carrier waves; solution profile; envelope; cnoidal waves; solitary waves; surface gravity waves; sound waves; water-air interface; sonic layer depth; EQUATIONS; EVOLUTION;

D O I：

10.2478/auom-2022-0018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrodinger equations. We will show that solitary wave solutions are recovered through a limiting process after the elliptic modulus of the Jacobi elliptic function cn that describes the periodic solutions for the self-focusing nonlinear Schrodinger model.

引用

页码：45 / 62

页数：18

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