Integrable dispersionless KdV hierarchy with sources

@article{Yang2006IntegrableDK,
  title={Integrable dispersionless KdV hierarchy with sources},
  author={Zhihua Yang and Ting Xiao and Yunbo Zeng},
  journal={Journal of Physics A},
  year={2006},
  volume={39},
  pages={8427-8437}
}
An integrable dispersionless KdV hierarchy with sources (dKdVHWS) is derived. Lax pair equations and bi-Hamiltonian formulation for dKdVHWS are formulated. A hodograph solution for the dispersionless KdV equation with sources (dKdVWS) is obtained via hodograph transformation. Furthermore, the dispersionless Gelfand–Dickey hierarchy with sources (dGDHWS) is presented. 
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