Abstract:
The paper is devoted to a differential-geometry analysis of Bäcklund transformations of nonlinear evolution equations possessing a Lax representation. A general property of such equations is formulated, and this makes it possible to find the explicit form of the Bäckluad transformations.
Citation:
A. K. Prikarpatskii, “Geometrical structure and Bäcklund transformations of nonlinear evolution equations possessing a Lax representation”, TMF, 46:3 (1981), 382–393; Theoret. and Math. Phys., 46:3 (1981), 249–256