On the integrability of a system of coupled KdV equations |
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| Authors: | Roger Dodd Allan Fordy |
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| Institution: | 1. School of Mathematics, Trinity College, Dublin 2, Ireland;2. Department of Mathematics, UMIST, Manchester M60 1 QD, UK |
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| Abstract: | We consider a system of equations, a two component generalisation of the KdV equation, which Hirota and Satsuma recently conjectured to be integrable. Using the Wahlquist-Estabrook prolongation technique, we derive a scattering problem for this system. |
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