Generalized inverse scattering transform for the nonlinear Schrödinger equation for bound states with higher multiplicities
Martines, Theresa N. Busse
Texas State University, Department of Mathematics
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.
Zakharov-Shabat system, NLS equation, Norming constants, Inverse scattering transform
Martines, T. N. B. (2017). Generalized inverse scattering transform for the nonlinear Schrödinger equation for bound states with higher multiplicities. <i>Electronic Journal of Differential Equations, 2017</i>(179), pp. 1-15.
Attribution 4.0 International