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,
Imperial College,
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 condition, and 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.

Conference paper.


Last modified Mon Apr 8 16:24:57 GB-Eire 1996 (DBD)