# 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.

## 4 Citations

On a new generalization of dispersionless Kadomtsev–Petviashvili hierarchy and its reductions

- Mathematics
- 2014

The dispersionless Kadomtsev–Petviashvili hierarchy is generalized by introducing two new time series γn and σk with two parameters ηn and λk. By this hierarchy, we obtain the first type, the second…

On the Ablowitz–Ladik equations with self-consistent sources

- Mathematics
- 2007

Darboux transformations and explicit solutions to Ablowitz–Ladik (AL) equations with self-consistent sources (ALESCS) are studied. Based on the Darboux transformation (DT) for the AL problem, we…

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