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- W1967002488 abstract "Solutions for two one-dimensional Schrödinger equations are linked together using an nth-order Darboux transformation. The resulting coefficients for these Darboux transformations give rise to a system of n nonlinear partial differential equations. This system is shown to be equivalent to a matrix Burgers equation which is linearized using a generalized Hopf–Cole transformation. Solving this linear system provides the link between solutions of the two Schrödinger equations and shows how to factor an nth-order Darboux transformation into n first-order Darboux transformations." @default.
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- W1967002488 date "2003-01-29" @default.
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- W1967002488 title "An<i>n</i>th-order Darboux transformation for the one-dimensional time-dependent Schr dinger equation" @default.
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