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math.AP2023
Curvature and Chaos in the Defocusing Parameteric Nonlinear Schrodinger System
Keith Promislow, Abba Ramadan
The parametric nonlinear Schrodinger equation models a variety of parametrically forced and damped dispersive waves. For the defocusing regime, we derive a normal velocity for the…
math.AP2023
On the stability of solitary waves in the NLS system of the third-harmonic generation
Abba Ramadan, Atanas G. Stefanov
We consider the NLS system of the third-harmonic generation, which was introduced by Sammut. Our interest is in solitary wave solutions and their stability properties. The recent w…