Transformation of soliton states for a (2+1) dimensional fourth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

Laser Physics ◽

10.1088/1555-6611/aaffc9 ◽

2019 ◽

Vol 29 (3) ◽

pp. 035401 ◽

Author(s):

Chunyu Yang ◽

Abdul Majid Wazwaz ◽

Qin Zhou ◽

Wenjun Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Heisenberg Ferromagnetic Spin Chain

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Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.06.049 ◽

2015 ◽

Vol 20 (3) ◽

pp. 711-718 ◽

Author(s):

Hao Sun ◽

Wen-Rui Shan ◽

Bo Tian ◽

Ming Wang ◽

Zhao Tan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Heisenberg Ferromagnetic Spin Chain

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Dark solitons interaction for a (2+1)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

Superlattices and Microstructures ◽

10.1016/j.spmi.2016.10.014 ◽

2016 ◽

Vol 100 ◽

pp. 587-595 ◽

Author(s):

Xue-Hui Zhao ◽

Bo Tian ◽

De-Yin Liu ◽

Xiao-Yu Wu ◽

Jun Chai ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Heisenberg Ferromagnetic Spin Chain

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Breathers and rogue waves of the fifth-order nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain

Nonlinear Dynamics ◽

10.1007/s11071-015-2022-4 ◽

2015 ◽

Vol 81 (1-2) ◽

pp. 725-732 ◽

Author(s):

Wen-Rong Sun ◽

Bo Tian ◽

Hui-Ling Zhen ◽

Ya Sun

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Heisenberg Ferromagnetic Spin Chain ◽

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Soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

Nonlinear Dynamics ◽

10.1007/s11071-016-2894-y ◽

2016 ◽

Vol 86 (1) ◽

pp. 369-380 ◽

Author(s):

Hui-Min Li ◽

Bo Tian ◽

Xi-Yang Xie ◽

Jun Chai ◽

Lei Liu ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Wave Solutions ◽

Heisenberg Ferromagnetic Spin Chain ◽

Rogue Wave Solutions

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Dark soliton interactions for a fifth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

Superlattices and Microstructures ◽

10.1016/j.spmi.2016.09.022 ◽

2016 ◽

Vol 100 ◽

pp. 191-197 ◽

Author(s):

Zhong-Zhou Lan ◽

Yi-Tian Gao ◽

Chen Zhao ◽

Jin-Wei Yang ◽

Chuan-Qi Su

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Dark Soliton ◽

Nonlinear Schrodinger Equation ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Heisenberg Ferromagnetic Spin Chain ◽

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Lax pair, interactions and conversions of the nonlinear waves for a (2+1)-dimensional nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01718-z ◽

2021 ◽

Vol 136 (7) ◽

Author(s):

Xia-Xia Du ◽

Bo Tian ◽

He-Yuan Tian ◽

Yan Sun

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Nonlinear Waves ◽

Schrodinger Equation ◽

Lax Pair ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Heisenberg Ferromagnetic Spin Chain ◽

Pair Interactions

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On the inhomogeneous fourth-order nonlinear Schrödinger equation

Journal of Mathematical Physics ◽

10.1063/1.4929657 ◽

2015 ◽

Vol 56 (9) ◽

pp. 093502 ◽

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and PT-symmetric potentials

Wave Motion ◽

10.1016/j.wavemoti.2021.102810 ◽

2021 ◽

pp. 102810

Author(s):

Boubakary Abdou ◽

Fabien II Ndzana ◽

Latchio Tiofack Gaston ◽

Alidou Mohamadou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Spatial Solitons ◽

Nonlinear Schrödinger ◽

Order Diffraction

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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109150 ◽

2021 ◽

pp. 109150

Author(s):

Tadahiro Oh ◽

Kihoon Seong

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Sobolev Spaces ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Gaussian Measures ◽

Nonlinear Schrödinger ◽

Negative Sobolev Spaces

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Soliton Solutions and Conservation Laws for an Inhomogeneous Fourth-Order Nonlinear Schrödinger Equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518110106 ◽

2018 ◽

Vol 58 (11) ◽

pp. 1856-1864

Author(s):

Pan Wang ◽

Feng-Hua Qi ◽

Jian-Rong Yang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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