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math.AP2021
Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation
Alexander Semenov
In this article, we prove that a sum of solitons and breathers of the modified Korteweg-de Vries equation (mKdV) is orbitally stable. The orbital stability is shown in H^2. More pr…
math.AP2021
On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation
Alexander Semenov
We consider the modified Korteweg-de Vries equation (mKdV) and prove that given any sum P of solitons and breathers of (mKdV) (with distinct velocities), there exists a solution p…