Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ?)

Li-Qin Zhang and Wen-Xiu Ma
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Li-Qin Zhang: School of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen 361021, China
Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2021, vol. 9, issue 17, 1-9

Abstract: The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so ( 3 , R ) . The nonlocalities involved are reverse-space, reverse-time, and reverse-spacetime. All of the resulting nonlocal integrable equations possess infinitely many symmetries and conservation laws.

Keywords: matrix spectral probems; nonlocal integrable reduction; PT-symmetry (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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