Lattice soliton: Solutions to the Kadomtsev–Petviashvili equation with positive dispersion
- 1 June 1993
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (6) , 2400-2411
- https://doi.org/10.1063/1.530125
Abstract
Lattice soliton solutions that have doubly periodic array of the localized structures in the plane are presented to the Kadomtsev–Petviashvili equation with the positive dispersion by using the superposition of the rational functions. Each structure is similar to the rational soliton. The existence condition and some properties are also presented.Keywords
This publication has 19 references indexed in Scilit:
- Reductive perturbation method for quasi one-dimensional nonlinear wave propagation II: Applications to magnetosonic wavesWave Motion, 1991
- Periodic solutions of the DABO equation as a sum of repeated solitonsJournal of Physics A: General Physics, 1989
- Multiple-pulse UHF breakdown in intersecting wave beamsRadiophysics and Quantum Electronics, 1985
- Two-dimensional multisolitons: Stationary solutions of Kadomtsev - Petviashvili equationRadiophysics and Quantum Electronics, 1985
- Comments on Periodic Waves and SolitonsIMA Journal of Applied Mathematics, 1984
- Exact decomposition of cnoidal waves into associated solitonsPhysics Letters A, 1981
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONSRussian Mathematical Surveys, 1977
- On the evolution of packets of long surface wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Studies of a non-linear latticePhysics Reports, 1975
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of SolitonsPhysical Review Letters, 1971