Solitons of the constrained Schrödinger equations
arXiv:2504.05816 · doi:10.1088/2399-6528/ae0b2b
Abstract
We consider the linear vector Schrödinger equation subjected to quadratic constraints. We demonstrate that the resulting nonlinear system is closely related to the Ablowitz-Ladik hierarchy and use this fact to derive the N-soliton solutions for the discussed model. As an example of application of these results we present solitons of some vector nonlinear Schrödinger equation with gradient nonlinearity.