• Corpus ID: 248506001

Fourier spectrum and related characteristics of the fundamental bright soliton solution

  title={Fourier spectrum and related characteristics of the fundamental bright soliton solution},
  author={Natanael Karjanto},
We derive exact analytical expressions for the spatial Fourier spectrum of the fundamental bright soliton solution for the ( 1 + 1 ) -dimensional nonlinear Schrödinger equation. Similar to a Gaussian profile, the Fourier transform for the hyperbolic secant shape is also shape-preserving. We further confirm that the fundamental soliton indeed satisfies essential characteristics such as Parseval’s relation and the stretch-bandwidth reciprocity relationship. The fundamental bright solitons find rich… 

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