Integrable dispersionless KdV hierarchy with sources

Details Integrable dispersionless KdV hierarchy with sources Integrable dispersionless KdV hierarchy with sources

2006-06-17

arxiv.org/abs/nlin/0606047v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, to be published in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/39/26/010

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.

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