arXiv 1102.52552011-02-25quant-phhep-thmath-phmath.MP

Singular matrix Darboux transformations in the inverse scattering method

A. A. Pecheritsin, A. M. Pupasov, Boris F. Samsonov

备注：: 16 pages, 1 figure
发表信息：: J. Phys. A: Math. Theor. 44 (2011) 205305 (15pp)
DOI：: 10.1088/1751-8113/44/20/205305

英文摘要：

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.

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