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arXiv · 2504.05816

Solitons of the constrained Schrödinger equations

V. E. Vekslerchik
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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.

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V. E. Vekslerchik. 2025-10-15. Solitons of the constrained Schrödinger equations. https://doi.org/10.1088/2399-6528%2Fae0b2b

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