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}) .

Multi-elliptic rogue wave clusters of the nonlinear Schrödinger equation on different backgrounds

2022 ◽  
Author(s):  
Stanko N. Nikolić ◽  
Sarah Alwashahi ◽  
Omar A. Ashour ◽  
Siu A. Chin ◽  
Najdan B. Aleksić ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Rogue Wave ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

scholarly journals Stochastic modulational instability in the nonlinear Schrödinger equation with colored random dispersion

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Andrea Armaroli ◽  
Guillaume Dujardin ◽  
Alexandre Kudlinski ◽  
Arnaud Mussot ◽  
Stefano Trillo ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Modulational Instability ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Random Dispersion
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