title: Transverse instability of solitary waves in the generalized kadomtsev-petviashvili equation
abstract: 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.
authors.affiliation: Graduate School of Science and Technology, Kobe University, Rokkodai, Nada, Kobe 657-8501, Japan.
authors.initials: T
authors.lastname: Kataoka
authors.initials: M
authors.lastname: Tsutahara
authors.initials: Y
authors.lastname: Negoro