Generalized inverse scattering transform for the nonlinear Schrödinger equation for bound states with higher multiplicities
Date
2017-07-13
Authors
Martines, Theresa N. Busse
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a generalization of the inverse scattering transform for the nonlinear Schrodinger (NLS) equation when bound states have multiplicities greater than one. This generalization is accomplished by deriving an explicit compact formula for the time evolution of the norming constants in the presence of nonsimple bound states. Such a formula helps to find explicit solutions to the NLS equation and obtain a generalization of soliton solutions.
Description
Keywords
Zakharov-Shabat system, NLS equation, Norming constants, Inverse scattering transform
Citation
Martines, T. N. B. (2017). Generalized inverse scattering transform for the nonlinear Schrödinger equation for bound states with higher multiplicities. Electronic Journal of Differential Equations, 2017(179), pp. 1-15.
Rights
Attribution 4.0 International