Chakravarty, S and Halburd, RG and Kent, SL (2003) Self-similar solutions of certain coupled integrable systems. J PHYS A-MATH GEN , 36 (5) 1371 - 1384.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Self-similar solutions of certain coupled integrable systems |
| Keywords: | NONLINEAR SCHRODINGER-EQUATIONS, ORDINARY DIFFERENTIAL-EQUATIONS, ELECTROMAGNETICALLY INDUCED TRANSPARENCY, PULSE-PROPAGATION, REDUCTIONS, TRANSFORMATIONS, 3RD-ORDER |
| UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |
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