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- W2783007291 abstract "This thesis contains the matrix generalisations of some important results knownin the theory of the scalar Schrodinger operators. In the first part we discuss the one-dimensionalmatrix Schrodinger equations in complex domain. The main results hereare the local criteria for the Schrodinger operators to have trivial monodromy anda matrix generalisation of the well-known Duistermaat-Grunbaum theorem givingthe description of such operators in terms of Darboux transformations.In the second part we consider D-integrable matrix Schrodinger operators inmany dimensions. The local criteria on singularities of such operators are found andnew examples are constructed.In the last chapter we discuss the soliton solutions of the matrix KdV equationsand study the interaction of two solitons." @default.
- W2783007291 created "2018-01-26" @default.
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- W2783007291 date "1999-01-01" @default.
- W2783007291 modified "2023-09-27" @default.
- W2783007291 title "Matrix Schrödinger equations and Darboux transformations" @default.
- W2783007291 hasPublicationYear "1999" @default.
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