Integrability and linear stability of nonlinear waves

It is well known that the linear stability of solutions of (Formula presented.) partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of the linearized equation which makes use on...

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Bibliographic Details
Main Authors: Antonio Degasperis, Sara Lombardo, Matteo Sommacal
Format: Default Article
Published: 2018
Subjects:
Other mathematical sciences not elsewhere classified
Nonlinear waves
Integrable systems
Wave coupling
Resonant interactions
Modulational instability
Coupled nonlinear Schrödinger equations
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/33022
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