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Transverse instability of soliton solutions to nonlinear Schrödinger equations

  • D. Anderson (a1), A. Bondeson (a1) and M. Lisak (a1)
Abstract

An inverstigation is made of the transverse instability of plane soliton solutions of the nonlinear Schrödinger equation, including the case of an exponential nonlinearity. The analysis is based on a variational method, where specific trial functions are applied for the perturbations. Explicit expressions for the growth rates are given, showing good agreement with numerical results.

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Yu. V. Kathshev & V. G. Makhankov 1976 Phys. Lett. 57A, 10.

P. Kaw , G. Schmidt & T. Wilcox 1973 Phys. Fluids, 16, 1522.

N. R. Pereira , R. N. Sudan & J. Denavit 1977 Phys. Fluids, 20, 271, 936.

G. Schmidt 1975 Phys. Rev. Lett. 34, 724.

K. H. Spatschek , P. K. Shukla & M. Y. Yu 1975 Phys. Lett. 54A, 419.

N. Yajima 1974 Progr. Theor. Phys. 52, 1066.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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