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Inverse Scattering Transform of Multidimensional Nonlinear Equations Related to First-Order Systems in the Plane

机译：平面上一阶系统相关多维非线性方程的逆散射变换

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作者
Fokas, A. S.; Ablowitz, M. J.;
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年度 1984
页码 p.1-13
总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Nonlinear algebraic equations; Inverse scattering; Problem solving; Boundary value problems; Integral equations; Nonlinear differential equations; Reprints;

机译：非线性代数方程;逆散射;问题求解;边值问题;积分方程;非线性微分方程;重印;

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专利

1. Direct and inverse scattering problems for multidimensional system of first-order partial differential equations [J] . L. P. Nizhnik, V. G. Tarasov Methods of Functional Analysis and Topology . 1999,第2期

机译：一阶偏微分方程多维系统的正向和反向散射问题
2. Inverse scattering for the nonlinear Schrodinger equation - II. Reconstruction of the potential and the nonlinearity in the multidimensional case [J] . Weder R. Proceedings of the American Mathematical Society . 2001,第12期

机译：非线性薛定inger方程的逆散射-II。多维情况下电位和非线性的重建
3. On the inverse scattering transform of a nonlinear evolution equation with 2 + 1 dimensions related to nonstrict hyperbolic systems [J] . Iskenderov N.S., Ismailov M.I. Nonlinearity . 2012,第7期

机译：与非严格双曲系统有关的具有2 +1维非线性发展方程的逆散射变换
4. Construction of the first-order stochastic nonlinear differential equations in the modeling of stimulated scattering of optical fields [C] . Vasile Babin, Maria Grigore, Laurentiu Cojocaru, Conference on optics . 1998

机译：光田刺激散射建模中的一阶随机非线性微分方程的构建
5. Inverse Scattering Transform and Solitons for Matrix Nonlinear Schr?dinger Systems and for the Defocusing Ablowitz-Ladik Equation with Nonzero Boundary Conditions [D] . Ortiz, Alyssa Kayelin. 2019

机译：逆散射变换和矩阵非线性SCHR？Dinger系统以及与非零边界条件的Defocusing Ablowitz-Ladik方程
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. Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions [O] . Barbara Prinari, Francesco Demontis, Sitai Li, 2018

机译：具有非零边界条件的方形矩阵非线性Schrödinger方程的逆散射变换和孤子解决方案
8. Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering [R] . Ablowitz, M. J. 1986

机译：精确可解的多维非线性方程组和逆散射

Inverse Scattering Transform of Multidimensional Nonlinear Equations Related to First-Order Systems in the Plane

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