Benjamin–Feir type instability of Sine–Gordon equation and spectrum of Lamé equation
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摘要
The Benjamin–Feir type instability of the nonhomoclinic wavetrain solution of the Sine–Gordon equation against the spatially periodic small perturbation is observed by relating the Fourier coefficients of the first order approximate solution of Fourier type to the band structure of the spectrum of the Lamé equation.
论文关键词：35Q53,33E10,37K45,Sine–Gordon equation,Benjamin–Feir instability,Wavetrain solution,Approximate solution of Fourier type,Spectrum of Lamé equation
论文评审过程：Available online 13 November 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.10.009
