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arxiv: 1307.6387 · v1 · pith:IIDKQTR4new · submitted 2013-07-24 · 🧮 math.DS

Small Generalized Breathers with Exponentially Small Tails for Klein-Gordon Equations

classification 🧮 math.DS
keywords smallbreathersexponentiallyklein-gordontailsclassconsiderequation
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We consider a class of nonlinear Klein-Gordon equation $u_{tt}=u_{xx}-u+f(u)$ and show that generically there exist small breathers with exponentially small tails.

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