|Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,|
Heriot-Watt University, Edinburgh, July 95
Reductions of the Benney equations
J Gibbons ¹, S P Tsarev
¹Deptartment of Mathematics,
London, SW7 2BZ, UK
The reductions of the Benney moment equations to systems
of finitely many partial
differential equations are discussed. These satisfy a compatibility
the reduced equations are diagonalisable and semi-Hamiltonian.
By imposing a further
constraint, of scaling and Galilean invariance, the compatibility
condition is reduced
to a system of algebraic equations, whose solutions are described.
Last modified Mon Apr 8 16:24:57 GB-Eire 1996