Exact solutions to Soliton Equations
(See also: resources
and, in particular, research topics.)
Apart from the theoretical, algebraic aspects of solution generating
techniques, the group has been involved in the explicit construction of
soliton, dromion and other `lump' solutions in 2+1 dimensions.
Here are some graphics.
- Nimmo, J. J. C. A class of solutions of the Konopel\cprime
chenko-Rogers equations. Phys. Lett. A 168 (1992), no. 2, 113--119.
MathSciNet
Review
- Gilson, C. R.; Nimmo, J. J. C. A direct method for dromion solutions
of the Davey-Stewartson equations and their asymptotic properties. Proc.
Roy. Soc. London Ser. A 435 (1991), no. 1894, 339--357.
MathSciNet
Review
- Gilson, C. R.; Nimmo, J. J. C.; Freeman, N. C. Rational solutions to
the two-component K-P hierarchies. Nonlinear evolution equations and
dynamical systems (Kolymbari, 1989), 32--35, Res. Rep. Phys., Springer,
Berlin, 1990.
MathSciNet
Review
- Gilson, C. R.; Nimmo, J. J. C. Lump solutions of the BKP equation.
Phys. Lett. A 147 (1990), no. 8-9, 472--476.
MathSciNet
Review