Darboux transformation and N-soliton solutions for a more general set of coupled integrable dispersionless system

The Darboux transformation and Lax pair of a more general set of coupled integrable dispersionless system are derived. By Darboux transformation, N-soliton solutions for the coupled integrable dispersionless system are obtained. In particular, the multi-soliton solutions are shown through some figures.

Research highlights
► Firstly, the new Lax pair associated with a more general set of coupled integrable dispersionless system (CIDS) is derived.
► Secondly, a new Darboux transformation for the CIDS is established.
► Finally, a new N-soliton solutions for the CIDS are obtained by applying the Darboux transformation.