Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations
arXiv:1510.02994 · doi:10.1142/S0217732316500206
Abstract
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 sech^p 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
~4 pages, 3 figures, 16 references, published version