Dispersionless bigraded Toda Hierarchy and its additional symmetry

Details Dispersionless bigraded Toda Hierarchy and its additional symmetry Dispersionless bigraded Toda Hierarchy and its additional symmetry

2012-02-08

arxiv.org/abs/1202.1653v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

30 pages

Scientific paper

In this paper, we firstly give the definition of dipersionless bigraded Toda
hierarchy (dBTH) and introduce some Sato theory on dBTH. Then we define
Orlov-Schulman's $\M_L$, $\M_R$ operator and give the additional Block symmetry
of dBTH. Meanwhile we give tau function of dBTH and some some related
dipersionless bilinear equations.

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