, Volume 36, Issue 3, pp 307–310 | Cite as

Soliton shape stabilization in a superlattice with next-to-nearest neighbor spectrum in a field of a nonlinear wave

  • S. V. Kryuchkov
  • É. G. Fedorov
Low-Dimensional Systems


The effect of an electric field of a nonlinear (cnoidal) electromagnetic wave (pumping field) upon the shape of the solitary electromagnetic wave (soliton) in the quantum semiconductor superlattice with two harmonics of the electron spectrum is studied. Propagation of electromagnetic waves is shown in this case to be described by the modified double sine-Gordon equation. The possibility of the amplification of the pulse and its transformation into the dissipative soliton is noticed. The speed and width of a soliton depend on the presence of the second harmonic in the superlattice electron energy spectrum. The dependence of the dissipative soliton parameters on temperature and pumping field amplitude is also noticed. The possibility of propagation of electromagnetic waves described by solutions of the modified sine-Gordon equation in the superlattice with the spectrum under study is found.


Soliton Electromagnetic Wave Electron Spectrum Electromagnetism Nonlinear Wave 
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Copyright information

© MAIK "Nauka/Interperiodica" 2002

Authors and Affiliations

  • S. V. Kryuchkov
    • 1
  • É. G. Fedorov
    • 1
  1. 1.Volgograd State Pedagogical UniversityVolgogradRussia

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