Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies

Details Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies

2001-11-28

arxiv.org/abs/nlin/0111062v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, the text of the talk at NEEDS 2001 conference

Scientific paper

The quasi-classical $\bar{\partial}$-dressing method is used to derive
compact generating equations for dispersionless hierarchies. Dispersionless
Kadomtsev-Petviashvili (KP) and two-dimensional Toda lattice (2DTL) hierarchies
are considered as illustrative examples.

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