A class of integrable lattices and KP hierarchy

Details A class of integrable lattices and KP hierarchy A class of integrable lattices and KP hierarchy

2001-07-24

arxiv.org/abs/nlin/0107054v1

J. Phys. A: Math. Gen., V. 34 (2001) 10559-10568.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 13 pages, accepted for publication in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/34/48/319

We introduce a class of integrable $l$-field first-order lattices together with corresponding Lax equations. These lattices may be represented as consistency condition for auxiliary linear systems defined on sequences of formal dressing operators. This construction provides simple way to build lattice Miura transformations between one-field lattice and $l$-field ($l\ge 2$) ones. We show that the lattices pertained to above class is in some sense compatible with KP flows and define the chains of constrained KP Lax operators.

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