87 citations · 192 across the 23 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
math.AP2012★ 87 cited
Nonlinear stability of mKdV breathers
Miguel Angel Alejo, Claudio Muñoz
Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H^2 topology. Our proof introduces a new Lyapunov functional, at the H^2…
math.AP2012★ 24 cited
On the nonlinear stability of mKdV breathers
Miguel Angel Alejo, Claudio Muñoz
A mathematical proof for the stability of mKdV breathers is announced. This proof involves the existence of a nonlinear equation satisfied by all breather profiles, and a new Lyapu…