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math.AP2013
Stability of periodic waves in Hamiltonian PDEs
Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues
Partial differential equations endowed with a Hamiltonian structure, like the Korteweg--de Vries equation and many other more or less classical models, are known to admit rich fami…
math.AP2013★ 39 cited
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids
Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues
Since its elaboration by Whitham, almost fifty years ago, modulation theory has been known to be closely related to the stability of periodic traveling waves. However, it is only r…