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

Proceedings of the American Mathematical Society, Series B Pub Date : 2022-01-14 DOI:10.1090/bproc/116

W. Ma

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引用次数: 27

Abstract

We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra so ⁡ ( 3 , R ) \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 so ⁡ ( 3 , R ) \operatorname {so}(3,\mathbb {R}) .

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与𝑠𝑜(3,m)相关的可积非局部非线性Schrödinger方程

我们构造了与特殊正交李代数so (3, R) \operatorname {so}(3，\mathbb {R})相关的可积层次的可积pt对称非局部约简。所得到的典型非局部可积方程是与so (3, R) \operatorname {so}(3，\mathbb {R})相关的可积pt对称非局部逆空间、逆时间和逆时空非线性Schrödinger方程。

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来源期刊

Proceedings of the American Mathematical Society, Series B

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1.60

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0.00%

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