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
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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