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Showing 2024 · math.APShow all
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math.AP2024
Orbital stability of a chain of dark solitons for general nonintegrable Schrödinger equations with non-zero condition at infinity
Jordan Berthoumieu
In this article, we focus on the stability of dark solitons for a general one-dimensional nonlinear Schrödinger equation. More precisely, we prove the orbital stability of a chain…
math.AP2024★ 3 cited
On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation
Kihyun Kim, Frank Merle
We consider the global dynamics of finite energy solutions to energy-critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that a…
math.AP2024★ 7 cited
Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation
Didier Pilod, Frédéric Valet
We study the dynamics of the collision of two solitary waves for the Zakharov-Kuznetsov equation in dimension and . We describe the evolution of the solution behaving as a s…