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Exact Inverse Scattering Solution of a Nonlinear Evolution Equation in Nonuniform Media

机译：非均匀介质中非线性发展方程的精确逆散射解

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摘要

The inverse scattering method is applied to obtain analytic soluton of the nonlinear Schroedinger equation in nonuniform media. It is shown that an exact solution exists for a parabolically inhomogeneous medium, provided a dissipative term is present in the nonlinear evolution equation.

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作者
Decastro, J. J.; Sudano, J. P.;
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年度 1982
页码 p.1-11
总页数 11
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Inverse scattering; Nonuniform plasmas; Schroedinger equation; Solitary waves; Dissipation; Inhomogeneity; Nonlinear equations; Plasma waves; Problem solving;

机译：逆散射;非均匀等离子体; schroedinger方程;孤立波;耗散;非均匀性;非线性方程;等离子体波;解决问题;

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专利

1. Nonlinear evolution-type equations and their exact solutions using inverse variational methods [J] . Kara AH, Khalique CM Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2005,第21期

机译：非线性演化型方程及其使用逆变分法的精确解
2. The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity [J] . Rezazadeh Hadi, Vahidi Javad, Zafar Asim, International journal of nonlinear sciences and numerical simulation . 2020,第3a4期

机译：用双功率非线性找到非线性演化方程的新精确解的功能变量方法
3. Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order [J] . Chen Y, Li B, Zhang HQ Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2003,第4期

机译：一类新的带有任意阶非线性项的非线性发展方程的精确解
4. Modeling of Electromagnetic Scattering by Discrete and Discretely Heterogeneous Random Media by Using Numerically Exact Solutions of the Maxwell Equations [C] . Janna M. Dlugach, Michael I. Mishchenko Non-Stable Universe: Energetic Resources, Activity Phenomena, and Evolutionary Processes Conference . 2017

机译：通过使用Maxwell方程的数值精确解决方案来模拟离散和离散异质随机介质的电磁散射
5. Soliton solutions of nonlinear partial differential equations using variational approximations and inverse scattering techniques. [D] . Vogel, Thomas K. 2007

机译：使用变分近似和逆散射技术的非线性偏微分方程的孤子解。
6. One class of meromorphic solutions of general two-dimensional nonlinear equations connected with the algebraic inverse scattering method [O] . D. V. Chudnovsky 1978

机译：一类一般的二维非线性方程的亚纯解与代数逆散射法联系起来
7. A Perturbation Method for Inverse Scattering in Three-Dimensions Based on the Exact Inverse Scattering Equations [O] . DeFacio, Brian, Rose, James H. 1986

机译：基于精确逆散射方程的三维逆散射摄动方法
8. Exact Solutions of Some Nonlinear Evolution Equations. [R] . Rosales, R. R. 1977

机译：一类非线性发展方程的精确解。

Exact Inverse Scattering Solution of a Nonlinear Evolution Equation in Nonuniform Media

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