PT-symmetric KdV solutions and their algebraic extension with zero-width resonances
Issued Date
2024-12-01
Resource Type
eISSN
20452322
Scopus ID
2-s2.0-85197510822
Journal Title
Scientific Reports
Volume
14
Issue
1
Rights Holder(s)
SCOPUS
Bibliographic Citation
Scientific Reports Vol.14 No.1 (2024)
Suggested Citation
Abhinav K., Shukla A., Panigrahi P.K. PT-symmetric KdV solutions and their algebraic extension with zero-width resonances. Scientific Reports Vol.14 No.1 (2024). doi:10.1038/s41598-024-65432-3 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/99624
Title
PT-symmetric KdV solutions and their algebraic extension with zero-width resonances
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Corresponding Author(s)
Other Contributor(s)
Abstract
A class of complex breather and soliton solutions to both KdV and mKdV equations are identified with a Pöschl-Teller type PT-symmetric potential. However, these solutions represent only the unbroken-PT phase owing to their isospectrality to an infinite potential well in the complex plane having real spectra. To obtain the broken-PT phase, an extension of the potential satisfying the sl2,R potential algebra is mandatory that additionally supports non-trivial zero-width resonances.