Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space
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Publication:2422795
DOI10.1016/j.anihpc.2018.10.005zbMath1420.35163arXiv1801.09933OpenAlexW2963356226MaRDI QIDQ2422795
Claudio Muñoz, José Manuel Palacios
Publication date: 21 June 2019
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.09933
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Second-order semilinear hyperbolic equations (35L71)
Related Items (13)
Orbital stability and instability of periodic wave solutions for ϕ4n -models ⋮ Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane ⋮ Orbital stability and instability of periodic wave solutions for the \(\phi^4\)-model ⋮ Solvability of one-dimensional semilinear hyperbolic systems and sine-Gordon equation ⋮ Linear stability of elastic 2-line solitons for the KP-II equation ⋮ Global solutions and stability properties of the 5th order Gardner equation ⋮ On asymptotic stability of the sine-Gordon kink in the energy space ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ Solitons in the presence of a small, slowly varying perturbation ⋮ The Akhmediev breather is unstable ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models ⋮ Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models* ⋮ On the elliptic-localized solutions of the sine-Gordon equation
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