Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations
Reyes, M. A. · Gutierrez-Ruiz, D. · Mancas, S. C. · Rosu, H. C.
Original · EN
We present an approach to the bright soliton solution of the 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 and Benjamin-Bona-Mahony equations when p=2
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.