Scattering Amplitudes for Multi-indexed Extensions of Soliton Potential and Extended KdV Integer Solitons
Abstract
We calculate quantum mechanical scattering problems for multi-indexed extensions of soliton potential by Darboux transformations in terms of pseudo virtual wavefunctions. As an application, we calculate infinite set of higher integer KdV solitons by the inverse scattering transform method of KdV equation.
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