Self-similar solutions of certain coupled integrable systems
preprintposted on 25.08.2005, 15:43 by S. Chakravarty, R.G. Halburd, S.L. Kent
Similarity reductions of the coupled nonlinear Schrodinger equation and an integrable version of the coupled Maxwell-Bloch system are obtained by applying non-translational symmetries. The reduced system of coupled ordinary differential equations are solved in terms of Painleve transcendents, leading to new exact self-similar solutions for these integrable equations.
- Mathematical Sciences