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

Takeshi Kataoka | Zendy; Michihisa Tsutahara | Zendy; Yoshihiro Negoro | Zendy

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

Author(s) -

Takeshi Kataoka,

Michihisa Tsutahara,

Yoshihiro Negoro

Publication year - 2000

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.84.3065

Subject(s) - physics , dispersion relation , planar , instability , kadomtsev–petviashvili equation , dispersion (optics) , wavelength , transverse plane , classical mechanics , quantum electrodynamics , mathematical physics , nonlinear system , mechanics , optics , quantum mechanics , burgers' equation , computer graphics (images) , computer science , structural engineering , engineering

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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