Generalized dromion solutions of the (2+1)-dimensional KdV equation
- 21 December 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (24), 7227-7232
- https://doi.org/10.1088/0305-4470/28/24/019
Abstract
The rich dromion structures for a (2+1)-dimensional KdV equation are revealed. The dromions in a high dimensional integrable model may have a free shape in one or more directions. Multi-dromion solutions can be driven by perpendicular line, non-perpendicular line and curved line ghost solitons.Keywords
This publication has 16 references indexed in Scilit:
- Proportion of unaffected sites in a reaction-diffusion processJournal of Physics A: General Physics, 1995
- Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spacesJournal of Physics A: General Physics, 1994
- Infinitely many symmetries of the Davey-Stewartson equationJournal of Physics A: General Physics, 1994
- Symmetry algebras of the potential Nizhnik–Novikov–Veselov modelJournal of Mathematical Physics, 1994
- Generalized symmetries andalgebras in three-dimensional Toda field theoryPhysical Review Letters, 1993
- Symmetries of the Kadomtsev-Petviashvili equationJournal of Physics A: General Physics, 1993
- Lie symmetries of Hirota’s bilinear equationsJournal of Mathematical Physics, 1991
- Dromions and a boundary value problem for the Davey-Stewartson 1 equationPhysica D: Nonlinear Phenomena, 1990
- Coherent structures in multidimensionsPhysical Review Letters, 1989
- Scattering of localized solitons in the planePhysics Letters A, 1988