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Semiclassical spectral confinement for the sine-Gordon equation

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Publication:435812
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DOI10.1016/j.matcom.2010.07.002zbMath1250.65119OpenAlexW1991563613MaRDI QIDQ435812

Robert J. Buckingham

Publication date: 12 July 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.07.002


zbMATH Keywords

sine-Gordon equationdistribution of eigenvaluesspectral confinement


Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)


Related Items (1)

Semiclassical soliton ensembles for the three-wave resonant interaction equations



Cites Work

  • Unnamed Item
  • Krein signatures for the Faddeev-Takhtajan eigenvalue problem
  • The semiclassical modified nonlinear Schrödinger equation I: Modulation theory and spectral analysis
  • Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation
  • Essentially nonlinear one-dimensional model of classical field theory
  • Method for Solving the Sine-Gordon Equation in Laboratory Coordinates


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