87 citations · 192 across the 23 of their papers we have counts for
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math-ph2013★ 4 cited
On the variational structure of breather solutions
Miguel A. Alejo, Claudio Muñoz, José M. Palacios
In this paper we give a systematic and simple account that put in evidence that many breather solutions of integrable equations satisfy suitable variational elliptic equations, whi…
math.AP2013★ 27 cited
Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers
Miguel Angel Alejo, Claudio Muñoz
We study the long-time dynamics of complex-valued modified Korteweg-de Vries (mKdV) solitons, which are recognized because they blow-up in finite time. We establish stability prope…