Abstract
The two-soliton solution of the KdV equation is known not to degenerate into a solution describing resonant triads of solitons in 1 + 1 dimensions. However, we show that two integrable coupled-KdV systems of the Drinfeld–Sokolov class possess solutions which may degenerate into resonant triads. These solutions are associated with a resonance relation which generalizes the usual one previously considered by Hirota and Ito.
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