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arXiv · 2102.12183

Integrability and rational soliton solutions for gauge invariant derivative nonlinear Schr\"odinger equations

Paz Albares
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Abstract

The present work addresses the study and characterization of the integrability of three famous nonlinear Schr\"odinger equations with derivative-type nonlinearities in 1+1 dimensions. Lax pairs for these three equations are successfully obtained by means of a Miura transformation and the singular manifold method. After implementing the associated binary Darboux transformations, we are able to construct rational soliton-like solutions for those systems.

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Paz Albares. 2021-02-24. Integrability and rational soliton solutions for gauge invariant derivative nonlinear Schr\"odinger equations. https://arxiv.org/abs/2102.12183

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