Abstract
The time evolution of the scattering and spectral data is obtained for the differential operator , where u(x, t) and v(x, t) are real-valued potentials decaying exponentially as x β Β±β at each fixed t. The result is relevant in a crucial step of the inverse scattering transform method that is used in solving the initial-value problem for a pair of coupled nonlinear partial differential equations satisfied by u(x, t) and v(x, t).
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