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

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