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Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation.

机译：Davey-stewartson II方程的逆散射变换方法和孤子解。

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The inverse scattering method for Davey-Stewartson II (DS-II) equation including both soliton and continuous spectrum solutions is developed. The explicit formulae for N-soliton solutions are given. Note that our solitons decrease as z/sup -2/ with z tending to infinity. (author). 8 refs. (Atomindex citation 20:049844)

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作者
Arkadiev, V. A.; Pogrebkov, A. K.; Polivanov, M. C.;
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年度 1989
页码 1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Inverse Scattering Problem; Solitons; Partial Differential Equations; Foreign technology; Davey-Stewartson equation; EDB/657002;

机译：反散射问题;孤子;偏微分方程;国外技术; Davey-stewartson方程; EDB / 657002;

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专利

1. On soliton solutions of the Kaup-Kupershmidt equation. II. 'Anomalous' N-soliton solutions [J] . Parker A. Physica, D. Nonlinear phenomena . 2000,第1a2期

机译：关于Kaup-Kupershmidt方程的孤子解。二。 N孤子孤子解
2. Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions [J] . Zhang Guoqiang, Chen Shuyan, Yan Zhenya Communications in Nonlinear Science and Numerical Simulation . 2020,第Jana期

机译：具有非零边界条件的Hirota方程的聚焦和散焦：逆散射变换和孤子解
3. Inverse scattering transform of an extended nonlinear Schrodinger equation with nonzero boundary conditions and its multisoliton solutions [J] . Journal of Mathematical Analysis and Applications . 2020,第1期

机译：具有非零边界条件的扩展非线性Schrodinger方程的逆散射变换及其多元化溶液
4. Verifying the Soliton Solutions to the Fifth Order KdV Equation by Ordinary Inverse Scattering Method [C] . Chao Ma, Jin-chun He International Conference on Green Materials and Environmental Engineering . 2014

机译：普通逆散射法将孤子解决方案验证到第五阶KDV方程
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. Simple Equations Method (SEsM): Algorithm Connection with Hirota Method Inverse Scattering Transform Method and Several Other Methods [O] . Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov 2021

机译：简单方程式方法（SESM）：算法与Hirota方法的连接逆散射变换方法和其他几种方法
7. An Inverse Scattering Transform for the Davey-Stewartson II Equations, III [O] . Sung L.Y. 1994

机译：Davey-Stewartson II方程，III的逆散射变换

Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation.

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