Work

Soliton type asymptotics for the Klein-Gordon equation coupled to nonlinear oscillator

Year: 2025

Type: article

Abstract: The long-time asymptotics are obtained for finite energy solutions of the 1D Klein-Gordon equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to a solitary wave, the solution converges to a sum of another solitary wave and dispersive wave which is a solution to the free Klein-Gordon equation.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01078-y

Author: Elena Kopylova

Institution: University of Vienna

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Universität Wien