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Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：170/0  |  提交时间：2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：210/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
PDE-CONSTRAINED OPTIMAL CONTROL APPROACH FOR THE APPROXIMATION OF AN INVERSE CAUCHY PROBLEM 期刊论文
INVERSE PROBLEMS AND IMAGING, 2015, 卷号: 9, 期号: 3, 页码: 791-814
作者:  Chang, Lili;  Gong, Wei;  Sun, Guiquan;  Yan, Ningning
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Elliptic equation  Cauchy problem  Tikhonov regularization  PDE-constrained optimal control  finite element method  
Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 卷号: 423, 期号: 2, 页码: 1370-1399
作者:  Yan, Zhenya
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
The generalized Gross-Pitaevskii equation  Bose-Einstein condensates  Varying source  Non-trivial phase solutions  Solitary wave solutions  Periodic wave solutions  
Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity 期刊论文
APPLIED MATHEMATICS LETTERS, 2009, 卷号: 22, 期号: 4, 页码: 448-452
作者:  Yan, Zhenya
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Discrete nonlinear Schrodinger equation with a saturable nonlinearity  Jacobi elliptic function  Envelope solution  Dark soliton solution  
anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem 期刊论文
journalofcomputationalmathematics, 2009, 卷号: 27, 期号: 1, 页码: 97
作者:  Wenbin Liu;  Wei Gong;  Ningning Yan
收藏  |  浏览/下载：117/0  |  提交时间：2020/01/10
A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 97-114
作者:  Liu, Wenbin;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Optimal control problem  State-constraints  Fourth order variational inequalities  Nonconforming finite element method  
The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 38, 期号: 2, 页码: 374-382
作者:  Wang, Deng-Shan;  Li, Hong-Bo;  Wang, Jike
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Single and multi-solitary wave solutions to a class of nonlinear evolution equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 1, 页码: 273-298
作者:  Wang, Deng-Shan;  Li, Hongbo
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
travelling wave solution  multi-solitary wave  factorization technique  Bessel functions  Hirota's bilinear method  Painleve analysis  Riccati equation  elliptic equation  
New binary travelling-wave periodic solutions for the modified KdV equation 期刊论文
PHYSICS LETTERS A, 2008, 卷号: 372, 期号: 7, 页码: 969-977
作者:  Yan, Zhenya
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30