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Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions

机译：具有外电势的非等谱可积非线性方程和他们的GBDT解决方案

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Auxiliary systems for matrix nonisospectral equations, including coupled NLSwith external potential and KdV with variable coefficients, were introduced.Explicit solutions of nonisospectral equations were constructed using the GBDTversion of the B\"acklund-Darboux transformation.

机译：介绍了矩阵非等谱方程的辅助系统，包括具有外部势能的耦合NLS和具有可变系数的KdV。使用B \“ acklund-Darboux变换的GBDTversion构造了非等谱方程的显式解。

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Sakhnovich, Alexander;
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年度 2007
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专利

1. Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions [J] . Sakhnovich A Journal of physics, A. Mathematical and theoretical . 2008,第15期

机译：具有外部电位的非等谱可积非线性方程及其GBDT解
2. Nonautonomous integrable nonlinear Schr_dinger equations with generalized external potentials [J] . Kyoung Ho Han, H J Shin Journal of physics, A. Mathematical and theoretical . 2009,第33期

机译：具有广义外部势的非自治可积非线性Schr_dinger方程
3. Integrability conditions and solitonic solutions of the nonlinear Schroedinger equation with generalized dual-power nonlinearities, PT-symmetric potentials, and space- and time-dependent coefficients [J] . Al Khawaja U., Bahlouli H. Communications in Nonlinear Science and Numerical Simulation . 2019,第APRa期

机译：具有广义双幂非线性，PT对称势以及时空相关系数的非线性Schroedinger方程的可积条件和孤子解
4. Localized nonlinear optical modes and the corresponding support structures: Exact solutions to the nonlinear Schrödinger equation with external potentials [C] . Malomed B. A., Stepanyants Y. A. 2010 International Conference on Electromagnetics in Advanced Applications . 2010

机译：局部非线性光学模式和相应的支撑结构：带外部电势的非线性薛定ding方程的精确解
5. Orbital Stability Results for Soliton Solutions to Nonlinear Schr?dinger Equations with External Potentials [D] . Lindgren, Joseph B. 2017

机译：Orbital稳定性结果对于非线性SCHR的孤子解决方案的轨道稳定性：具有外部潜力的Dinger方程
6. Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [O] . Erdal Korkmaz -1

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7. On a new integrable nonlinear Schroedinger equation with a simple external potential and its explicit solutions [O] . Sakhnovich, Alexander 2006

机译：关于一个简单的新的可积非线性schroedinger方程外部潜力及其明确解决方案
8. A Study of the Solutions of One-Dimensional Vlasov-Poisson Equations for Harmonic Time Dependence and External Potential [R] . Tinhofer, G. 1967

机译：一维Vlasov-poisson方程的谐波时间依赖性和外电势解的研究

Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions

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