2 papers
math-ph2023
Non-existence of certain elliptic solutions of the Cubic-nonlinear Schrödinger Equation
Hans Werner Schürmann, Valery Serov
For a certain class of solutions of the cubic nonlinear Schödinger equation we prove non-existence in the generic case. In the nongeneric case we present a two-parameter set of sol…
math-ph2014
Inverse fixed energy scattering problem for the two-dimensional nonlinear Schroedinger operator
Georgios Fotopoulos, Valery Serov
This work studies the direct and inverse fixed energy scattering problem for two-dimensional Schroedinger equation with rather general nonlinear index of refraction. In particular,…