Some comments on continuous symmetries of AKNS hierarchy equations and their solutions

2015/09/03 by A. O. Smirnov, Smirnov, A. O., V. B. Matveev +1 · 1 citation
Chemistry · Physics and Astronomy · #35Q55 #37C55 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1509.01134

openalex publication_date 2015/09/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that a well known for NLS equation scaling invariance and Galilean invariance property of its solutions can be extended with appropriate modifications to the whole AKNS hierahchy and its reduced and deformed versions.

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