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Breathers for the Sine-Gordon equation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1394)

Abstract

The problem of breathers, solutions of a nonlinear homogeneous wave equation that are nontrivial, time-dependent and T-periodic is considered. A manifold of such solutions is shown to exist in a distributional sense and some qualitative properties of these solutions are described.

Keywords

  • Wave Equation
  • Nonlinear Wave Equation
  • Distributional Solution
  • Linear Wave Equation
  • Semi Linear Wave Equation

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This research was sponsored by the Air Force Office of Scientific Research, Air Force Systems Command, U.S.A.F. under Grant 84-0252. The United States Government is authorized to reporduce and distribute reprints for Governmental purposes not withstanding any copyright notation therein.

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© 1989 Springer-Verlag

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Smiley, M.W. (1989). Breathers for the Sine-Gordon equation. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086762

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  • DOI: https://doi.org/10.1007/BFb0086762

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51594-4

  • Online ISBN: 978-3-540-46679-6

  • eBook Packages: Springer Book Archive