Langmuir solitons in a plasma with inhomogeneous electron temperature

Evgeny M. Gromov, Boris A. Malomed

Research output: Contribution to journalComment/debate


Dynamics of Langmuir solitons is considered in plasmas with spatially inhomogeneous electron temperature. An underlying Zakharov-type system of two unidirectional equations for the Langmuir and ion-sound fields is reduced to an inhomogeneous nonlinear Schrödinger equation with spatial variation of the second-order dispersion and self-phase modulation coefficients, induced by a spatially inhomogeneous profile of the electron temperature. Analytical trajectories of motion of a soliton in the plasma with an electron-temperature hole, barrier, or cavity between two barriers are found, using the method of integral moments. The possibility of the soliton to pass a high-temperature barrier is shown too. Analytical results are well corroborated by numerical simulations.

Original languageEnglish
Article number068021
JournalPhysica Scripta
Issue number6
StatePublished - 1 Jun 2015


  • Zakharov system
  • method of moments
  • nonlinear Schrödinger equation
  • soliton


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