Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation

Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation

It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations. The wave function modulus of the double-periodic solutions is periodic both in space and time coordinates; such solutions generalize...

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Bibliographic Details
Main Author:	Dmitry E. Pelinovsky
Format:	Article
Language:	English
Published:	Frontiers Media S.A. 2021-02-01
Series:	Frontiers in Physics
Subjects:	modulational instability double-periodic solutions Floquet spectrum nonlinear Schrödinger equation standing waves
Online Access:	https://www.frontiersin.org/articles/10.3389/fphy.2021.599146/full

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