Singular matrix Darboux transformations in the inverse scattering method

Autor: Pecheritsin, A. A., Pupasov, A. M., Samsonov, Boris F.
Rok vydání: 2011
Předmět:
Zdroj: J. Phys. A: Math. Theor. 44 (2011) 205305 (15pp)
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8113/44/20/205305
Popis: Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formulas for the resulting action of the chain. A determinant representation of the Kohlhoff-von Geramb solution to the Marchenko equation is given.
Comment: 16 pages, 1 figure
Databáze: arXiv