Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106686 ◽

2021 ◽

Vol 111 ◽

pp. 106686

Author(s):

Xiaoxi Li ◽

Jinming Wen ◽

Dongfang Li

Keyword(s):

Difference Schemes ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Energy Conserving

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Nonlinear Fractional Schrödinger Equations in R^N

10.1007/978-3-030-60220-8 ◽

2021 ◽

Author(s):

Vincenzo Ambrosio

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Ground state solutions for nonlinear fractional Schrödinger equations in RN

Journal of Mathematical Physics ◽

10.1063/1.4793990 ◽

2013 ◽

Vol 54 (3) ◽

pp. 031501 ◽

Author(s):

Simone Secchi

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Multi-spike positive solutions for nonlinear fractional Schrödinger equations

Applicable Analysis ◽

10.1080/00036811.2015.1067305 ◽

2015 ◽

Vol 95 (8) ◽

pp. 1616-1634 ◽

Author(s):

Wei Long ◽

Qingfang Wang ◽

Jing Yang

Keyword(s):

Positive Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.037 ◽

2015 ◽

Vol 293 ◽

pp. 238-251 ◽

Author(s):

Pengde Wang ◽

Chengming Huang

Keyword(s):

Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Conservative Difference

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On nonlinear fractional Schrödinger equations with Hartree-type nonlinearity

Applicable Analysis ◽

10.1080/00036811.2016.1260708 ◽

2016 ◽

Vol 97 (2) ◽

pp. 255-273 ◽

Author(s):

Dengfeng Lü ◽

Guojin Xu

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Monotonicity of Standing waves for the nonlinear fractional Schrödinger equations

10.22541/au.159647584.46194648 ◽

2020 ◽

Author(s):

Yajie Zhang ◽

Feiyao Ma ◽

Weifeng Wo

Keyword(s):

Standing Waves ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Dynamics of Hermite–Gaussian beams in the linear and nonlocal nonlinear fractional Schrödinger equations

Results in Physics ◽

10.1016/j.rinp.2020.103008 ◽

2020 ◽

Vol 16 ◽

pp. 103008

Author(s):

Zhenkun Wu ◽

Yagang Zhang ◽

Jingmin Ru ◽

Yuzong Gu

Keyword(s):

Schrodinger Equations ◽

Gaussian Beams ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Nonlocal Nonlinear

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Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2021.v18.n1.a2 ◽

2021 ◽

Vol 18 (1) ◽

pp. 11-32

Author(s):

Brahim Alouini

Keyword(s):

Asymptotic Behavior ◽

Schrodinger Equations ◽

Asymptotic Behavior Of Solutions ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations

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Galerkin finite element method for nonlinear fractional Schrödinger equations

Numerical Algorithms ◽

10.1007/s11075-016-0160-5 ◽

2016 ◽

Vol 74 (2) ◽

pp. 499-525 ◽

Author(s):

Meng Li ◽

Chengming Huang ◽

Pengde Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

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Convergence of an energy-conserving scheme for nonlinear space fractional Schrödinger equations with wave operator

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113762 ◽

2021 ◽

pp. 113762

Author(s):

Xiujun Cheng ◽

Hongyu Qin ◽

Jiwei Zhang

Keyword(s):

Wave Operator ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations ◽

Energy Conserving

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