Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrodinger equation with spatial and temporal dispersion

Dong Min-Jie; Tian Shou-Fu; Yan Xue-Wei; Zou Li; Zhang Tian-Tian

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Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrodinger equation with spatial and temporal dispersion

机译：具有空间和时间分散的二阶非线性Schrodinger方程的明亮暗的孤立波，肤色，高斯孤子和行波孤子

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摘要

In this paper, we consider the non-linear Schrodinger equation in fibers with the presence of group velocity dispersion, selfphase modulation and second-order dispersion terms. Using the ansatz method, we derive its bright, dark, complexitons, Gaussian, and traveling wave solitons, respectively. Moreover, we provide the graphical analysis of some solutions in order to better understand their dynamical behavior.

机译：在本文中，我们考虑纤维中的非线性Schrodinger方程，具有群体速度分散，自拍调制和二阶分散术语。使用ANSATZ方法，我们分别获得光明，暗，复杂，高斯和旅行波孤立寡。此外，我们提供了一些解决方案的图形分析，以便更好地理解其动态行为。

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来源
《Journal of Electromagnetic Waves and Applications》 |2018年第6期|共12页
作者
Dong Min-Jie; Tian Shou-Fu; Yan Xue-Wei; Zou Li; Zhang Tian-Tian;
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作者单位

China Univ Min &

Technol Sch Math Xuzhou Peoples R China;

China Univ Min &

Technol Sch Math Xuzhou Peoples R China;

China Univ Min &

Technol Sch Math Xuzhou Peoples R China;

Dalian Univ Technol Sch Naval Architecture State Key Lab Struct Anal Ind Equipment Dalian Peoples R China;

China Univ Min &

Technol Sch Math Xuzhou Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类电磁波与电磁场;
关键词
The second-order non-linear Schrodinger equation; bight soliton solution; dark soliton solution; complexitons solution; Gaussian solution; traveling wave solution;

机译：二阶非线性施罗德格方程式;光孤子溶液;暗孤子溶液;复合物解决方案;高斯解决方案;旅行波解决方案;

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专利

1. Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrodinger equation with spatial and temporal dispersion [J] . Dong Min-Jie, Tian Shou-Fu, Yan Xue-Wei, Journal of Electromagnetic Waves and Applications . 2018,第4a6期

机译：具有空间和时间分散的二阶非线性Schrodinger方程的明亮暗的孤立波，肤色，高斯孤子和行波孤子
2. Bistable Bright-Dark solitary wave solutions of the (3+1)-dimensional Breaking soliton, Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–Petviashvili equations and their applications [J] . Kalim Ul-Haq Tariq, A.R. Seadawy Results in Physics . 2017,第1期

机译：（3 + 1）维破碎孤子，Boussinesq方程，双色散和修正的Korteweg-de Vries-Kadomtsev-Petviashvili方程的双稳态明暗孤波解及其应用
3. Solitons in a third-order nonlinear Schrodinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion [J] . Aseeva N. V., Gromov E. M., Onosova I. V., JETP Letters . 2016,第10期

机译：具有伪拉曼散射和空间递减二阶色散的三阶非线性Schrodinger方程的孤子
4. Soliton in an extended nonlinear Schrodinger equation with stimulated scattering on damping low-frequency waves and nonlinear dispersion [C] . E M Gromov International Conference on Mathematical Modeling in Physical Sciences . 2015

机译：孤子在延长的非线性Schrodinger方程中，具有刺激的低频波和非线性色散的刺激散射
5. Effects of randomness, dissipation and interaction on solitons of the cubic nonlinear Schrodinger equation and related nonlinear wave models. [D] . Nguyen, Quan Minh. 2011

机译：随机，耗散和相互作用对立方非线性Schrodinger方程和相关非线性波模型的孤子的影响。
6. Modulational instability beak-shaped rogue waves multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations [O] . Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen -1

机译：成对跃迁耦合非线性Schrödinger方程的调制不稳定性喙状流氓波多暗-暗孤子和动力学
7. Bistable Bright-Dark solitary wave solutions of the (3Â +Â 1)-dimensional Breaking soliton, Boussinesq equation with dual dispersion and modified Kortewegâde VriesâKadomtsevâPetviashvili equations and their applications [O] . Kalim Ul-Haq Tariq, A.R. Seadawy 2017

机译：（3 + 1）维破裂孤子的双稳态明暗孤立波解，具有双色散的Boussinesq方程和改进的KortewegâdeVriesâKadomtsevâpetviashvili方程及其应用
8. Derivation of the Effective Nonlinear Schrodinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing [R] . Crutcher, S. H., Osei, A. 2011

机译：利用纳米自聚焦推导暗和幂律空间等离子体 - 极化孤子的有效非线性薛定谔方程

Bright-dark solitary waves, complexitons, Guassian solitons, and traveling wave solitons of the second-order non-linear Schrodinger equation with spatial and temporal dispersion

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