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math.AP2010
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Jaime Angulo, Carlos Banquet
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic…
math.AP2010★ 1 cited
Well-posedness and stability in the periodic case for the Benney system
J. Angulo, A. J. Corcho, And S. Hakkaev
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space is the lowest regulari…