J Hietarinta et al 1994 J. Phys. A: Math. Gen. 27 3149 doi:10.1088/0305-4470/27/9/027
Continuous vacua in bilinear soliton equations
J Hietarinta, A Ramani and B Grammaticos
Show affiliationsWe discuss the freedom in the background field (vacuum) on top of which the solitons are built. If the Hirota bilinear form of a soliton equation is given by A(Dx)G.F=0, B(Dx)(F.F-G.G)=0, where both A and B are even polynomials in their variables, then there can be a continuum of vacua, parametrized by a vacuum angle phi . The ramifications of this freedom for the construction of one- and two-soliton solutions are discussed. We find, for example, that once the angle phi is fixed and we choose u=tan-1 G/F as the physical quantity, then there are four different solitons (or kinks) connecting the vacuum angles +or- phi , +or- phi +or- pi /2 (where pi is the defined modulo). The most interesting result is the existence of a 'ghost' soliton; goes over to the vacuum but interacts with 'normal' solitons by giving them a finite phase shift.
- PACS
- MSC
- Subjects
- Dates
-
Issue 9 (7 May 1994)
-
Continuous vacua in bilinear soliton equations
J Hietarinta et al 1994 J. Phys. A: Math. Gen. 27 3149
-
Noise-sustained and controlled synchronization of stirred excitable media by external forcing
Changsong Zhou and Jürgen Kurths 2005 New J. Phys. 7 18
-
Asymptotically anti-de Sitter space-times
A Ashtekar and A Magnon 1984 Class. Quantum Grav. 1 L39
-
Optical design of liquid crystal display backlighting with highly scattering optical transmission polymer
Takamitsu Okumura et al 2003 J. Opt. A: Pure Appl. Opt. 5 S269
-
Quantum freeze of fidelity decay for a class of integrable dynamics
Tomaž Prosen and Marko Žnidarič 2003 New J. Phys. 5 109
-
Supporting customized failure models for distributed software
Matti A Hiltunen et al 1999 Distrib. Syst. Engng. 6 103
-
European comparison of short gauge block measurement by interferometry
B G Vaucher et al 1995 Metrologia 32 331
-
Spin and orbital magnetic moments of deposited small iron clusters studied by x-ray magnetic circular dichroism spectroscopy
J T Lau et al 2002 New J. Phys. 4 98
-
The criterion for time symmetry of probabilistic theories and the reversibility of quantum mechanics
A T Holster 2003 New J. Phys. 5 130
-
Exploring the colours of dark light
M V Berry 2002 New J. Phys. 4 74
Users also read
What's this?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