Transverse Instability of Solitary Waves in the Generalized Kadomtsev-Petviashvili Equation

Details Transverse Instability of Solitary Waves in the Generalized Kadomtsev-Petviashvili Equation Transverse Instability of Solitary Waves in the Generalized Kadomtsev-Petviashvili Equation

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvl..84.3065k&link_type=abstract

Physical Review Letters, Volume 84, Issue 14, April 3, 2000, pp.3065-3068

Physics

1

Scientific paper

The linear stability of planar solitary waves with respect to long-wavelength transverse perturbations is studied in the framework of the generalized Kadomtsev-Petviashvili equation. It is newly discovered that for some nonlinearities in this family, the solitary waves could be transversely unstable even in a medium with negative dispersion. In the case of positive dispersion, they are found to be always unstable.

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