A. I. Zenchuk, “Miura-type transformations of nonlinear partial differential equations integrable by the <nobr>$\bar\partial$</nobr>-problem method”, TMF, 1999, Volume 119, Number 1,Pages <nobr>47

Miura-type transformations of nonlinear partial differential equations integrable by the $\bar\partial$-problem method

A. I. Zenchuk

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: A new method is suggested for constructing Miura-type transformations for systems of nonlinear equations of mathematical physics integrable by the $\bar\partial$-problem method using a generalized normalization function in the $\bar\partial$-problem. Examples of these transformations for the Kadomtsev–Petviashvili equation are considered.

Received: 21.09.1998

DOI: 10.4213/tmf726