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4:00 pm Wednesday, October 8, 2008 Geometry-Analysis Seminar: Exact Solutions to the Nonlinear Schrödinger Equationby
Tuncay Aktosun (University of Texas at Arlington) in HB 227- A method is presented to construct exact solutions to the nonlinear Schrödinger equation on the line. An explicit formula and its equivalents are obtained to express such exact solutions in a compact form in terms of matrix exponentials. Such exact solutions can alternatively be written explicitly as algebraic combinations of exponential, trigonometric, and polynomial functions of the spatial and temporal coordinates. The method is generalizable to some other nonlinear partial differential equations such as the Korteweg-de Vries equation on the half line and the sine-Gordon equation.
Submitted by damanik@rice.edu |