AI Article Synopsis
- A class of soliton and complex breather solutions for KdV and mKdV equations is found, associated with a Pöschl-Teller type symmetric potential.
- These solutions only exhibit the unbroken phase, showing isospectrality to an infinite potential well with real spectra.
- To explore the broken phase, a modified potential that adheres to specific potential algebra and enables non-trivial zero-width resonances is necessary.
Article Abstract
A class of complex breather and soliton solutions to both KdV and mKdV equations are identified with a Pöschl-Teller type -symmetric potential. However, these solutions represent only the unbroken- phase owing to their isospectrality to an infinite potential well in the complex plane having real spectra. To obtain the broken- phase, an extension of the potential satisfying the potential algebra is mandatory that additionally supports non-trivial zero-width resonances.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11222547 | PMC |
| http://dx.doi.org/10.1038/s41598-024-65432-3 | DOI Listing |
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