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math-ph2026
Radiation damping of the soliton internal mode in 1D quadratic Klein-Gordon equation
Piotr Bizoń, Tomasz Romańczukiewicz
We study long-time dynamics of small even perturbations of the soliton in 1D quadratic Klein-Gordon equation. The soliton possesses both an internal mode and the unstable mode. On…
math.AP2026
Three self-similar solutions of Yang-Mills equations in high odd dimensions
Piotr Bizoń, Irfan Glogić, Arthur Wasserman
We consider spherically symmetric Yang-Mills equations with gauge group in dimensional Minkowski spacetime. For any given odd , we establish existence and u…