Physics
Scientific paper
Jul 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrve..70a6604k&link_type=abstract
Physical Review E, vol. 70, Issue 1, id. 016604
Physics
1
Solitons, Nonlinearity, Bifurcation, And Symmetry Breaking, Gravitational Waves: Theory
Scientific paper
The present paper is a more detailed article of the previously published Letter [Phys. Rev. Lett.8420003065], which discovered the transversely unstable solitary wave solutions of the generalized Kadomtsev-Petviashvili (GKP) equation with negative dispersion. In addition to detailed explanation of stability analysis to long-wavelength transverse perturbations, numerical calculation of the GKP equation is carried out here to study the transverse stability to perturbations of finite wavelength. The numerical results show that there is a short-wavelength cutoff to the transverse instability. Moreover, we reveal the existence of transversely unstable solitons.
Kataoka Takeshi
Tsutahara Michihisa
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