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

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

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 Schrödinger equations. We will show that solitary wave solutions are recovered throug...

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Bibliographic Details
Main Authors: Bica Ion, Mucalica Ana
Format: Article
Language:English
Published: Sciendo 2022-05-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
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
primary 33e05, 35q55
secondary 35q53
Online Access:https://doi.org/10.2478/auom-2022-0018

Internet

https://doi.org/10.2478/auom-2022-0018

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