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We calculate quantum mechanical scattering problems for multi-indexedextensions of soliton potential by Darboux transformations in terms of pseudovirtual wavefunctions. As an application, we calculate infinite set of higherinteger KdV solitons by the inverse scattering transform method of KdVequation.

Scattering Amplitudes for Multi-indexed Extensions of Soliton Potential and Extended KdV Integer Solitons