Direct perturbation theory for solitons of the derivative nonlinear Schrödinger equation and the modified nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.65.066608 ◽

2002 ◽

Vol 65 (6) ◽

Author(s):

Xiang-Jun Chen ◽

Jianke Yang

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Direct Perturbation ◽

Derivative Nonlinear Schrödinger Equation

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Direct perturbation theory for the dark soliton solution to the nonlinear Schrödinger equation with normal dispersion

Physical Review E ◽

10.1103/physreve.75.046604 ◽

2007 ◽

Vol 75 (4) ◽

Author(s):

Jia-Lu Yu ◽

Chun-Nuan Yang ◽

Hao Cai ◽

Nian-Ning Huang

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Dark Soliton ◽

Nonlinear Schrodinger Equation ◽

Normal Dispersion ◽

Nonlinear Schrödinger ◽

Direct Perturbation

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N-soliton solutions and perturbation theory for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/23/008 ◽

2007 ◽

Vol 40 (23) ◽

pp. 6119-6132 ◽

Author(s):

V M Lashkin

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Direct Perturbation Method for Derivative Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/50/2/45 ◽

2008 ◽

Vol 50 (2) ◽

pp. 501-504 ◽

Author(s):

Cheng Xue-Ping ◽

Lin Ji ◽

Han Ping

Keyword(s):

Schrödinger Equation ◽

Perturbation Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Direct Perturbation ◽

Derivative Nonlinear Schrödinger Equation

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A direct perturbation theory of the nonlinear Schrödinger equation with corrections

Acta Physica Sinica (Overseas Edition) ◽

10.1088/1004-423x/8/8/006 ◽

1999 ◽

Vol 8 (8) ◽

pp. 590-597 ◽

Author(s):

Chen Shi-rong ◽

Chen Zhi-de ◽

Yuan Xian-zhang ◽

Huang Nian-ning

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Direct Perturbation

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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method

Nonlinear Dynamics ◽

10.1007/s11071-021-06554-5 ◽

2021 ◽

Author(s):

Juncai Pu ◽

Jun Li ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

Wave Motion ◽

10.1016/j.wavemoti.2021.102823 ◽

2021 ◽

pp. 102823

Author(s):

Juncai Pu ◽

Weiqi Peng ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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A soliton perturbation theory for the unstable nonlinear Schrödinger equation with corrections

Acta Physica Sinica (Overseas Edition) ◽

10.1088/1004-423x/8/2/005 ◽

1999 ◽

Vol 8 (2) ◽

pp. 118-130 ◽

Author(s):

Chen Zhi-de ◽

Chen Xiang-jun ◽

Huang Nian-ning

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Soliton Perturbation

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Normalization corrections to perturbation theory for the time-independent nonlinear Schrödinger equation

Physical Review A ◽

10.1103/physreva.44.2188 ◽

1991 ◽

Vol 44 (3) ◽

pp. 2188-2191 ◽

Author(s):

János G. Ángyán ◽

Péter R. Surján

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting

Journal of Differential Equations ◽

10.1016/j.jde.2021.05.003 ◽

2021 ◽

Vol 291 ◽

pp. 90-109

Author(s):

Hideo Takaoka

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Optimal Threshold ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Threshold Setting

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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