Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes
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Publication:2124249
DOI10.4171/JEMS/1130zbMath1486.35122arXiv1903.12460MaRDI QIDQ2124249
Claudio Muñoz, Yvan Martel, Michał Kowalczyk
Publication date: 19 April 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.12460
Asymptotic behavior of solutions to PDEs (35B40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)
Related Items (14)
Quadratic Klein-Gordon equations with a potential in one dimension ⋮ On asymptotic stability of the sine-Gordon kink in the energy space ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Small energy stabilization for 1D nonlinear Klein Gordon equations ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ Asymptotic stability manifolds for solitons in the generalized good Boussinesq equation ⋮ Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode ⋮ Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Asymptotic stability of kink with internal modes under odd perturbation ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential ⋮ Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry
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