https://doi.org/10.1140/epjp/s13360-022-03536-3
Regular Article
Exotic rogue waves in an extended nonlocal nonlinear Schrödinger equation with self-induced PT-symmetric potentials
School of Mathematics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China
Received:
10
May
2022
Accepted:
24
November
2022
Published online:
15
December
2022
We consider the spectral problem and adjoint problem for an extended nonlocal nonlinear Schrödinger (NLS) equation. Utilizing the Schur polynomial theory and the Darboux transformation, we derive the high-order rogue wave solutions by providing three types of wave functions and adjoint ones. Our results show that the nonsingular and singular solutions, respectively, correspond to single peak rogue wave and collapsing rogue wave, which are two different rogue wave phenomena. The solutions obtained in this work exhibit rich rogue wave patterns, most of which have no counterparts in the extended local NLS equation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.