On the decay rate of the bright soliton for the perturbed nonlinear Schrodinger equation

Zong FD; Wu L; Zhang JF

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On the decay rate of the bright soliton for the perturbed nonlinear Schrodinger equation

机译：摄动非线性Schrodinger方程的亮孤子的衰减率

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In this paper, we investigate the decay rate of the bright soliton for the perturbed nonlinear Schrodinger equation (PNLSE). By employing the variational method, a set of ordinary differential equations (ODEs) which describe approximately the evolution of the bright soliton in the presence of fiber loss are obtained. From the numerical simulations and theoretical analysis, we can conclude that the decay rate of the bright soliton is not a constant as it propagates in the fiber.

机译：在本文中，我们研究了扰动的非线性薛定inger方程（PNLSE）的亮孤子的衰减率。通过采用变分方法，获得了一组常微分方程（ODE），它们近似描述了在光纤损耗的情况下亮孤子的演化。从数值模拟和理论分析，我们可以得出结论，亮孤子在光纤中传播时的衰减率不是恒定的。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2007年第6期|共4页
作者
Zong FD; Wu L; Zhang JF;
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正文语种 eng
中图分类物理学;
关键词
OPTICAL SOLITONS; FIBERS; DISPERSION; DYNAMICS; WAVES;

机译：光学孤子;纤维;色散;动力学;波;

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专利

1. On the decay rate of the bright soliton for the perturbed nonlinear Schrodinger equation [J] . Zong FD, Wu L, Zhang JF Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2007,第6期

机译：摄动非线性Schrodinger方程的亮孤子的衰减率
2. Bright and dark 1– soliton solutions to perturbed Schrodinger – hirota equation with power law nonlinearity via semi – inverse variation method and ansatz method [J] . S. Subhaschandra Singh International Journal of Physical Research . 2017,第2期

机译：半逆变化方法和ansatz方法求解具有幂律非线性的扰动Schrodinger-hirota方程的明暗1孤子解
3. Initial Phase Dependence of the Soliton Decay Rate for the Nonlinear Schrodinger Equation with a Lossy Term [J] . LOU Sen Yue Communications in Theoretical Physics . 2000,第1期

机译：带有损耗项的非线性Schrodinger方程的孤子衰减率的初始相位相关性
4. Modulational Instability of Bright Solitons of the Hyperbolic Nonlinear Schrodinger Equation [C] . S. P. Gorza, Emplit, M. Haelterman Conference on Lasers and Electro-Optics Europe . 2009

机译：双曲线非线性Schrodinger方程明亮孤子的调节不稳定性
5. Asymptotic dynamics of trapped solitons of nonlinear Schrodinger equations with potentials. [D] . Zhou, Gang. 2007

机译：带电势的非线性薛定inger方程的孤立孤子的渐近动力学。
6. Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities [O] . M. Bonforte, J. Dolbeault, G. Grillo, 2010

机译：非线性快速扩散方程解通过函数不等式的急剧衰减
7. Bright and dark 1– soliton solutions to perturbed Schrodinger – hirota equation with power law nonlinearity via semi – inverse variation method and ansatz method [O] . S. Subhaschandra Singh 2017

机译：明亮和黑暗的1-孤立的Schrodinger - Hirota方程通过半逆变异方法和Ansatz方法具有电力法非线性的Hirota方程
8. Soliton Waves in Perturbed Generalized Nonlinear Schrodinger Equations [R] . Yang, J., Kaup, D. J. 1998

机译：扰动广义非线性薛定谔方程中的孤子波

On the decay rate of the bright soliton for the perturbed nonlinear Schrodinger equation

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