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

2022 ◽  
Vol 9 (1) ◽  
pp. 1-11
Author(s):  
Wen-Xiu Ma
Keyword(s):  
Nonlinear Schrödinger Equations ◽  
Integrable Hierarchy ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Reverse Time ◽  
Content Type ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Orthogonal Lie Algebra ◽  
Nonlocal Nonlinear

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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