Abstract
Lax pair representations of multi-component semi-discrete coupled dispersionless (sdCD) integrable system have been presented. A Lax pair is derived for the multi-component sdCD system in the form of a block matrices through generalizing the 2 × 2 Lax pair matrices to the case of 2N × 2N. A Darboux transformation is studied for the multi-component sdCD system and is used to compute soliton solutions of the system.
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