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

22nd International Conference on Integrable Systems and Quantum Symmetries

Lee, Jen-Chi^1

Department of Electrophysics, National Chiao-Tung University and Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan^1

关键词: Darboux transformations;    Inverse scattering transform;    KdV equations;    Quantum mechanical;    Scattering amplitudes;    Scattering problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012019/pdf
DOI  :  10.1088/1742-6596/563/1/012019

来源: IOP

【 摘 要 】

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.