具有特殊势的非线性薛定谔型方程

11875040
2018
A2501.物理中的数学与计算方法
张大军
面上项目
教授
上海大学
60万元
精确解;数值算法;几何;特殊势;非线性薛定谔型方程
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Discrete rogue waves and blow-up from solitons of a nonisospectral semi-discrete nonlinear Schrödinger equation 期刊论文 Silem Abdselam;Wu Hua;Zhang Da-jun
2 On new Hamiltonian structures of two integrable couplings 期刊论文 Liu Yu;Liu Jin;Zhang Da-jun
3 Discrete Boussinesq-type equations 期刊论文 Hietarinta Jarmo;Zhang Da-jun
4 Wronskian solutions of integrable systems 期刊论文 Zhang Da-jun
5 Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada's representation of elliptic curves 期刊论文 Li Xing;Takenawa Tomoyuki
6 Solitons to the derivative nonlinear Schrödinger equation: Double Wronskians and reductions 期刊论文 Liu Shuzhi;Wu Hua
7 Symmetric discrete AKP and BKP equations 期刊论文 Li Shangshuai;Nijhoff Frank W;Sun Ying-ying;Zhang Da-jun
8 On the lattice potential KP equation 期刊论文 Cao Cewen;Xu Xiaoxue;Zhang Da-jun
9 The discrete Burgers equation 期刊论文 Zhang Da-jun
10 Integrability of auto-Backlund transformations and solutions of a torqued ABS equation 期刊论文 Wei Xueli;van der Kamp Peter H.;Zhang Da-jun
11 The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach 期刊论文 Zhang Da-jun;Liu Shimin;Deng Xiao
12 Integrable boundary conditions for quad equations, open boundary reductions, and integrable mappings 期刊论文 Caudrelier Vincent;van der Kamp Peter H;Zhang Cheng
13 Squared eigenfunction symmetry of the D Delta mKP hierarchy and its constraint 期刊论文 Chen Kui;Zhang Cheng;Zhang Da-jun
14 Cauchy matrix approach to the SU(2) self-dual Yang--Mills equation 期刊论文 Li Shangshuai;Qu Changzheng;Yi Xiangxuan;Zhang Da-jun
15 Reciprocal transformations of the space-time shifted nonlocal short pulse equations 期刊论文 Wang Jing;Wu Hua;Zhang Da-jun
16 Cauchy matrix structure of the Mel’nikov model of long–short wave interaction 期刊论文 Tian Hongjuan;Zhang Da-jun
17 General description on extended homoclinic orbit solutions of the KdV-type bilinear equations 期刊论文 Liu Shu-Zhi;Zhang Da-Jun
18 Integrability and solutions for a fourth-order lattice Gel’fand-Dikii equation, 期刊论文 Tela Guesh Yfter;Zhang Da-jun
19 Addition formulae, Backlund transformations, periodic solutions, and quadrilateral equations 期刊论文 Zhang Danda;Zhang Da jun
20 Conserved Gross–Pitaevskii equations with a parabolic potential 期刊论文 Liu Shimin;Zhang Da-jun
21 The Fokas-Lenells equations: Bilinear approach 期刊论文 Liu Shuzhi;Wang Jing;Zhang Da-jun
22 Rational solutions with zero background and algebraic solitons of three derivative nonlinear Schrödinger equations: Bilinear approach 期刊论文 Wang Jing;Wu Hua
23 Solutions of the nonlocal (2+1)-D breaking solitons hierarchy and the negative order AKNS hierarchy 期刊论文 Wang Jing;Wu Hua;Zhang Da-jun
24 Dynamics of three nonisospectral nonlinear Schrodinger equations 期刊论文 Silem Abdselam;Zhang Cheng;Zhang Da Jun
25 A direct approach to the model of few-optical-cycle solitons beyond the slowly varying envelope approximation 期刊论文 Cho Aye Aye;Wang Jing;Zhang Da-jun
26 Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima-Oikawa system 期刊论文 Tian Hongjuan;Zhang Da-jun
27 Multi-component extension of CAC systems 期刊论文 Zhang Dan-da;van der Kamp Peter H;Zhang Da-jun
28 Partial-limit solutions and rational solutions with parameter for the Fokas-Lenells equation 期刊论文 Wu Hua
29 Covariant hodograph transformations between nonlocal short pulse models and the AKNS(-1) system 期刊论文 Chen Kui;Liu Shimin;Zhang Da jun
30 On (2+1)-dimensional mixed AKNS hierarchy 期刊论文 Wang Jing;Wu Hua
31 Algebro-geometric solutions to the lattice potential modified Kadomtsev–Petviashvili equation 期刊论文 Xu Xiaoxue;Cao Cewen;Zhang Da-jun
32 The Cauchy matrix approach to the non-commutative Kadomtsev-Petviashvili equation with self-consistent sources 期刊论文 Shi Zhihao;Li Shangshuai;Zhang Da-jun
33 Lax Pairs of Integrable Systems in Bidifferential Graded Algebras 期刊论文 Zhang Danda;Zhang Da-Jun;Lou Sen-Yue
34 On one-soliton solutions of the Q2 equation in the ABS list 期刊论文 Cheng Qiang;Zhang Cheng;Zhang Danda;Zhang Da jun
35 New results on the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential 期刊论文 Liu Shimin;Wu Hua;Zhang Da-jun
36 From Auto-Backlund Transformations to Auto-Backlund Transformations, and Torqued ABS Equations 期刊论文 Zhang Dan-da;Zhang Da-jun;van der Kamp Peter H.
37 Solutions to integrable space-time shifted nonlocal equations 期刊论文 Liu Shimin;Wang Jing;Zhang Da-jun
38 Nonisospectral effects on generating localized waves 期刊论文 Silem Abdselam;Wu Hua;Zhang Da-jun
39 Elliptic soliton solutions: τ functions, vertex operators and bilinear identities 期刊论文 Li Xing;Zhang Da-jun
40 Vector NLS solitons interacting with a boundary 期刊论文 Zhang Cheng;Zhang Da-jun
41 A revisit to the ABS H2 equation 期刊论文 Cho Aye Aye;Mesfun Maebel;Zhang Da-jun
42 Elliptic solutions of Boussinesq type lattice equations and the elliptic Nth root of unity 期刊论文 Nijhoff Frank W;Sun Yingying;Zhang Da-jun
43 Classification of integrable boundary equations for integrable systems on quad-graphs 期刊论文 Sun Pengyu;Zhang Cheng
44 Nonlinear Schrödinger equation on the half-line without a conserved number of solitons 期刊论文 Caudrelier Vincent;Crampé Nicolas;Ragoucy Eric;Zhang Cheng
45 Discrete Crum’s theorems and lattice KdV-type equations 期刊论文 Zhang Cheng;Peng Linyu;Zhang Da-jun
46 离散可积系统: 多维相容性 期刊论文 张大军
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