PT-symmetric KdV solutions and their algebraic extension with zero-width resonances

Abhinav K.Shukla A.Panigrahi P.K.Mahidol University2024-07-122024-07-122024-12-01Scientific Reports Vol.14 No.1 (2024)https://repository.li.mahidol.ac.th/handle/20.500.14594/99624A 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.MultidisciplinaryPT-symmetric KdV solutions and their algebraic extension with zero-width resonancesArticleSCOPUS10.1038/s41598-024-65432-32-s2.0-8519751082220452322