@article{Prykarpatsky_Samoilenko_Samoilenko_2003, title={Structure of Binary Transformations of Darboux Type and Their Application to Soliton Theory}, volume={55}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4032}, abstractNote={On the basis of generalized Lagrange identity for pairs of formally adjoint multidimensional differential operators and a special differential geometric structure associated with this identity, we propose a general scheme of the construction of corresponding transformation operators that are described by nontrivial topological characteristics. We construct explicitly the corresponding integro-differential symbols of transformation operators, which are used in the construction of Lax-integrable nonlinear two-dimensional evolutionary equations and their Darboux–Bäcklund-type transformations.}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Prykarpatsky, Ya. A. and Samoilenko, A. M. and Samoilenko, V. G.}, year={2003}, month={Dec.}, pages={1704-1719} }