Periodic and solitary wave solutions for the one-dimensional cubic nonlinear Schrodinger model

Author
Bica, Ion
Mucalica, Ana
Faculty Advisor
Date
2022
Keywords
Schrodinger equations , solitary wave solutions
Abstract (summary)
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.
Publication Information
Bica, I., Mucalica, A., (2022). Periodic and solitary wave solutions for the one-dimensional cubic nonlinear Schrödinger model. Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică,30(2) 45-62. https://doi.org/10.2478/auom-2022-0018
Notes
Item Type
Article
Language
Rights
Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)