Integrable dispersionless KdV hierarchy with sources
arXiv:nlin/0606047 · doi:10.1088/0305-4470/39/26/010
Abstract
An integrable dispersionless KdV hierarchy with sources (dKdVHWS) is derived. Lax pair equations and bi-Hamiltonian formulation for dKdVHWS are formulated. 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.
15 pages, to be published in J. Phys. A: Math. Gen