Skip to main content
    • Aa
    • Aa

Transverse instability of soliton solutions to nonlinear Schrödinger equations

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

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.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

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.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 3 *
Loading metrics...

Abstract views

Total abstract views: 44 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.