This article is cited in 1 paper

Parity–time symmetric solitons of the complex KP equation

J.-H. Chang

Graduate School of National Defense, National Defense University, Tauyuan City, Taiwan

Abstract: We construct the parity–time symmetric solitons of the complex KP equation using the totally nonnegative Grassmannian. We obtain that every element in the totally nonnegative orthogonal Grassmannian corresponds to a parity–time symmetric soliton solution.

Keywords: $PT$ symmetry, Grassmannian, complex KP equation, solitons.

MSC: 15A15; 15A24; 35B34; 37K40

Received: 19.04.2023
Revised: 24.05.2023

DOI: 10.4213/tmf10521

 English version: Theoretical and Mathematical Physics, 2024, 219:2, 770–780

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