|Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,|
Heriot-Watt University, Edinburgh, July 95
Department of Mathematical Sciences,
Loughborough University of Technology,
Loughborough, Leics, LE11 3TU, UK
Presented a generalization of Kodama's transformation which maps this system to KdV equation itself. Furthermore, we have shown that this system can be mapped to certain other integrable equations.
Established the asymptotic integrability of the idealized water waves to $0(\epsilon^2)$ without the unidirectionality asymption.
The concept of the mastersymmetry plays a crucial role in the derivation of the above results.