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