Theresa N. Busse Martines
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.
Submitted June 123, 2017. Published July 13, 2017.
Math Subject Classifications: 35Q55, 37K15, 35Q51.
Key Words: Zakharov-Shabat system; NLS equation; norming constants; inverse scattering transform.
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| Theresa N. Busse Martines |
Department of Mathematics and Statistics
University of the Incarnate Word
San Antonio, TX 78209, USA
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