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patt-solFeb 6, 1995
13
citations (OpenAlex)
authors
  • V. S. Gerdjikov
  • N. A. Kostov
institutions
  • Institute for Nuclear Research and Nuclear Energy
  • Institute of Electronics
arXiv abstractPDF
paper

INVERSE SCATTERING TRANSFORM ANALYSIS OF STOKES-ANTI-STOKES STIMULATED RAMAN SCATTERING

arXiv:patt-sol/9502001 · doi:10.1103/PhysRevA.54.4339

Abstract

Zakharov-Shabat--Ablowitz-Kaup-Newel-Segur representation for Stokes-anti-Stokes stimulated Raman scattering is proposed. Periodical waves, solitons and self-similarity solutions are derived. Transient and bright threshold solitons are discussed.

16 pages, LaTeX, no figures

References in corpus (2)

  • Nonlinear integrable systems related to arbitrary space-time dependence of the spectral transform
  • Theory of Pump Depletion and Spike Formation in Stimulated Raman Scattering

Cited by in corpus (7)

  • N-wave interactions related to simple Lie algebras. Z_2- reductions and soliton solutions
  • Reductions of N-wave interactions related to low-rank simple Lie algebras. I: Z_2- reductions
  • On the N-wave Equations with PT-symmetry
  • Statistics of light in Raman and Brillouin nonlinear couplers
  • N-Wave Equations with Orthogonal Algebras: Z_2 and Z_2 \times Z_2 Reductions and Soliton Solutions
  • On the 3-wave Equations with Constant Boundary Conditions
  • On the N-waves hierarchy with constant boundary conditions. Spectral properties
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