Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)

Ma, Wen-Xiu

doi:10.1090/bproc/116

Integrable nonlocal nonlinear Schrödinger equations associated with $\operatorname {so}(3,\mathbb {R})$
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Proc. Amer. Math. Soc. Ser. B 9 (2022), 1-11

Abstract:

We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra $\operatorname {so}(3,\mathbb {R})$. The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal reverse-space, reverse-time and reverse-spacetime nonlinear Schrödinger equations associated with $\operatorname {so}(3,\mathbb {R})$.

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