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Multi-symplectic preserving integrator for the Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 22, 页码: 6817-6829
作者:  Wang, Lan;  Kong, Linghua;  Zhang, Liying;  Zhou, Wenying;  Zheng, Xiaohong
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Schrodinger equation with wave operator  Multi-symplectic integrator  Conservation laws  
Variational discretizations for the generalized Rosenau-type equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 271, 页码: 860-873
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Lagrangian density  Variational integrator  Multisymplectic formulation  Solitons collision  Local conservation law  
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation 期刊论文
CHAOS, 2015, 卷号: 25, 期号: 10, 页码: 9
作者:  Yang, Yunqing;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 82, 期号: 1-2, 页码: 119-129
作者:  Yan, Zhenya
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
The cubic-quintic NLS equation with space-modulated coefficients  Stationary solutions  Conformal mapping  Cauchy-Riemann equation  Bright-like and dark-like solitons  Vortex solitons  
The hole-filling method and the multiscale computation for the wave equations in perforated domains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 8, 页码: 1743-1756
作者:  Dong, Qiaoli;  Cao, Liqun
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations 期刊论文
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 卷号: 23, 期号: 4, 页码: 339-353
作者:  Feng, Pengbin;  Karimov, Erkinjon T.
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Inverse source problem  Caputo fractional derivative  mixed-type equation  orthonormal system of eigenfunctions  
Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation 期刊论文
PHYSICAL REVIEW E, 2015, 卷号: 92, 期号: 1, 页码: 19
作者:  Wen, Xiao-Yong;  Yang, Yunqing;  Yan, Zhenya
收藏  |  浏览/下载：128/0  |  提交时间：2018/07/30
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 833-842
作者:  Yang, Yungqing;  Wang, Xin;  Yan, Zhenya
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
The generalized nonlinear Schrodinger (NLS) equation  The LPD-Hirota equation  Similarity reduction method  Rogue wave solutions  Motions of the hump and valleys  
Control and stabilization for the wave equation with variable coefficients in domains with moving boundary 期刊论文
SYSTEMS & CONTROL LETTERS, 2015, 卷号: 80, 页码: 30-41
作者:  Lu, Liqing;  Li, Shengjia;  Chen, Goong;  Yao, Pengfei
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
Wave equation with variable coefficients  Moving boundary  Riemannian metric  Distance function of a metric  
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