Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
1-2016
Abstract/Description
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 sechpsechp 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 Title
Modern Physics Letters A
DOI
https://doi.org/10.1142/S0217732316500206
Publisher
World Scientific
Scholarly Commons Citation
Reyes, M. A., Gutierrez-Ruiz, D., Mancas, S. C., & Rosu, H. C. (2016). Nongauge Bright Soliton of the Nonlinear Schrodinger (NLS) Equation and a Family of Generalized NLS Equations. Modern Physics Letters A, 31(3). https://doi.org/10.1142/S0217732316500206
