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math.AP2021★ 3 cited
Persistence of periodic traveling waves and Abelian integrals
Armengol Gasull, Anna Geyer, Víctor Mañosa
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary…
math.AP2021★ 1 cited
Stability of smooth periodic traveling waves in the Camassa-Holm equation
Anna Geyer, Renan H. Martins, Fábio Natali +1
Smooth periodic travelling waves in the Camassa--Holm (CH) equation are revisited. We show that these periodic waves can be characterized in two different ways by using two differe…