Abstract

ABSTRACTThe novel coupled Korteweg-de Vries (KdV) system is derived under the condition named anyon-n algebra. The dark parameterization method is applied into the KdV system, thus, we can obtain new coupled integrable system represented by Lax pairs, and abundant new solution structures are found. It is proved that the dark parameterization procedure is very useful to find new integrable systems and solve nonlinear coupled systems.

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