R L Herman 1991 J. Phys. A: Math. Gen. 24 1161 doi:10.1088/0305-4470/24/6/011
Evolution of a modulated KP soliton
R L Herman
Show affiliationsThe author investigates the propagation of an initial profile consisting of a planar KP soliton with some small modulations. Using the solution of the Cauchy problem for the linearized KP equation, find that for large times the modulations move away from the peak of the profile, leaving behind a stable soliton. A generalization of this method is formulated for the study of the stability of solutions of other integrable equations.
- PACS
- MSC
- Subjects
- Dates
-
Issue 6 (21 March 1991)
-
Evolution of a modulated KP soliton
R L Herman 1991 J. Phys. A: Math. Gen. 24 1161
-
The stochastic, damped KdV equation
R L Herman 1990 J. Phys. A: Math. Gen. 23 1063
-
A Technique for Separating the Gravitational Torques of Bars and Spirals in Disk Galaxies
R. Buta et al. 2003 The Astronomical Journal 126 1148
-
The perfectly matched layer in numerical simulations of nonlinear and matter waves
C Farrell and U Leonhardt 2005 J. Opt. B: Quantum Semiclass. Opt. 7 1
-
Resolution of the motion of a perturbed KdV soliton
R L Herman 1990 Inverse Problems 6 43
-
Detecting spontaneous symmetry breaking in finite-size spectra of frustrated quantum antiferromagnets
Grégoire Misguich and Philippe Sindzingre 2007 J. Phys.: Condens. Matter 19 145202
-
Impact of the updating scheme on stationary states of networks
F Radicchi et al 2008 J. Phys. A: Math. Theor. 41 224010
-
Gold nanocones fabricated by nanotransfer printing and their application for field emission
Tae-il Kim et al 2008 Nanotechnology 19 295302
-
All-inkjet-printed flexible electronics fabrication on a polymer substrate by low-temperature high-resolution selective laser sintering of metal nanoparticles
Seung H Ko et al 2007 Nanotechnology 18 345202
-
Temperature evolution of the magnetic excitations in charge ordered La5/3Sr1/3NiO4
P G Freeman et al 2008 J. Phys.: Condens. Matter 20 104229
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Trajectory attractors of equations of mathematical physics
-
Notes on Yang–Mills–Higgs monopoles and dyons on
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities