Structure of Binary Transformations of Darboux Type and Their Application to Soliton Theory

• Datum: 2003
• Hauptverfasser: Prykarpatsky, Ya. A., Samoilenko, A. M., Samoilenko, V. G., Прикарпатський, Я. А., Самойленко, А. М., Самойленко, В. Г.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4032
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 describ...