Abstract
The nonlinear distribution function introduced by Allis has been used to investigate the stability of the solution of Vlasov-Poisson’s equations. The ‘average’ Lagrangian is calculated on the basis of this distribution function, and the ‘average’ variational principle of Witham is applied to discuss modulational stability. It is found that the distribution function of Allis exactly gives rise to the Lighthill’s stability condition of non-linear waves.
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References
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Majumdar, S.K. Nonlinear distribution functions for the Vlasov-Poisson system. Pramana - J Phys 19, 269–277 (1982). https://doi.org/10.1007/BF02875470
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DOI: https://doi.org/10.1007/BF02875470