Self-similar solutions of certain coupled integrable systems

Chakravarty, S.; Halburd, R.G.; Kent, S.L.

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Self-similar solutions of certain coupled integrable systems

preprint

posted on 2005-08-25, 15:43 authored 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.

History

School

Science

Department

Mathematical Sciences

Pages

333976 bytes

Publication date

2002

Notes

This pre-print has been submitted, and accepted, to the journal, Journal of Physics A - Mathematical and General [© Institute of Physics]. The definitive version: CHAKRAVARTY, S., HALBURD, R.G. and KENT, S.L., 2003. Self-similar solutions of certain coupled integrable systems. Journal of Physics A- Mathematical and General, 36(5), pp. 1371-1384, is available at: http://www.iop.org/EJ/journal/JPhysA.