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math.AP2021
Linear instability of breathers for the focusing nonlinear Schr{ö}dinger equation
Mariana Haragus, Dmitry Pelinovsky
Relying upon tools from the theory of integrable systems, we discuss the linear instability of the Kuznetsov-Ma breathers and the Akhmediev breathers of the focusing nonlinear Schr…
math.AP2021
Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
Boris Buffoni, Mariana Haragus, Gérard Iooss
Using a variational method, we prove the existence of heteroclinic solutions for a 6dimensional system of ordinary differential equations. We derive this system from the classical…