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

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

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 equ...

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Veröffentlicht in:Journal of physics. Conference series 2014-11, Vol.563 (1), p.12019-7
1. Verfasser: Lee, Jen-Chi
Format: Artikel
Sprache:eng
Schlagworte:
Integers
Inverse scattering
Korteweg-Devries equation
Mathematical analysis
Physics
Quantum mechanics
Scattering amplitude
Solitary waves
Solitons
Transformations
Transforms
Wave functions
Wavefunctions
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Zusammenfassung: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/563/1/012019