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

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.

10 pages

References in corpus (2)

• Rogue waves of the Hirota and the Maxwell-Bloch equations
• High-order rogue waves for the Hirota equation

Cited by in corpus (3)

• Spectral curves for the rogue waves
• Hirota bilinear forms of the AKNS($N$) systems
• $(2+1)$-dimensional AKNS($-N$) Systems: $N=3,4$