Title
Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations
11627/351011627/3510
Author
Reyes, Marco A.
Gutiérrez Ruiz, Daniel
Mancas, Stefan C
Rosu Barbus, Haret-Codratian
Abstract
"We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a "nongauge" bright soliton for which both the envelope and the phase depend only on the traveling variable. We also construct a family of generalized NLS equations with solitonic sechp solutions in the traveling variable and find an exact equivalence with other nonlinear equations, such as the Korteveg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations when p = 2."
Publication date
2016Publication type
articleDOI
https://doi.org/10.1142/S0217732316500206Knowledge area
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRAEditor
World Scientific Publishing CompanyKeywords
Nonlinear Schrödinger equationBright soliton
KdV equation
BBM equation
Citation
Reyes, M. A., Gutierrez-Ruiz, D., Mancas, S. C., & Rosu, H. C. (2016). Nongauge Bright Soliton of the Nonlinear Schrödinger (NLS) Equation and a Family of Generalized NLS Equations. Modern Physics Letters A, 31(3)Metadata
Show full item record
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Related items
Showing items related by title, author, creator and subject.
-
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2013)"We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic ... -
Integrable Abel equations and Vein's Abel equation
Mancas, Stefan C; Rosu Barbus, Haret-Codratian (2016)"We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equation whose solutions are expressed in terms ... -
Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations
Mancas, Stefan C; Rosu Barbus, Haret-Codratian (Elsevier, 2017)"A one-parameter family of Emden-Fowler equations defined by Lampariello's parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard ...