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Integrable dispersionless KdV hierarchy with sources

Zhihua Yang·Ting Xiao·Yunbo Zeng
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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.

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Zhihua Yang, Ting Xiao, Yunbo Zeng. 2006-06-17. Integrable dispersionless KdV hierarchy with sources. https://doi.org/10.1088/0305-4470%2F39%2F26%2F010

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