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Zbl 0809.35113
Ma, Wenxiu
A hierarchy of coupled Burgers systems possessing a hereditary structure. (English)
[J] J. Phys. A, Math. Gen. 26, No.22, L1169-L1174 (1993). ISSN 0305-4470

Summary: A hierarchy of typical integrable, coupled Burgers systems is proposed by introducing a special spectral problem involving $q$ dependent variables $u\sb 0, u\sb 1,\dots, u\sb{q-1}$. These systems possess a hereditary structure and may reduce to a hierarchy of Burgers equations under the reduction $u\sb i= 0$, $0\leq i\leq q-2$. It is shown that their flows and Lax operators commute mutually but each system is not Hamiltonian.

MSC 2000:: *35Q53 KdV-like equations
37J35 Completely integrable systems, etc.
37K10 Completely integrable systems etc.

Keywords: inverse scattering transform; Burgers equations; reduction; Lax operators

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