Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations
Marco A. Reyes
Stefan C. Mancas
Rosu Barbus, Haret-Codratian
"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."
Knowledge areaCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
EditorWorld Scientific Publishing Company
KeywordsNonlinear Schrödinger equation
CitationReyes, 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)
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