非线性可积系统的非局域对称及其应用

11775146
2017
A2501.物理中的数学与计算方法
任博
面上项目
教授
绍兴文理学院
54万元
可积系统;对称性;Backlund变换;Painleve性质;非局域对称
2018-01-01到2021-12-31
  • 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 A Super mKdV Equation: Bosonization, Painleve Property and Exact Solutions 期刊论文 Ren Bo;Lou Sen-Yue
2 Characteristics of the Soliton Molecule and Lump Solution in the (2+1)-Dimensional Higher-Order Boussinesq Equation 期刊论文 Ren Bo
3 Dynamics of D’Alembert wave and soliton molecule for a (2+1)-dimensional generalized breaking soliton equation 期刊论文 Ren Bo;Chu Peng-Cheng
4 Rational solutions and their interaction solutions of the (2 1)-dimensional modified dispersive water wave equation 期刊论文 Ren Bo;Ma Wen Xiu;Yu Jun
5 Soliton molecules, nonlocal symmetry and CRE method of the KdV equation with higher-order corrections 期刊论文 Ren Bo;Lin Ji
6 Soliton molecules and the CRE method in the extended mKdV equation 期刊论文 Ren Bo;Lin Ji;Liu Ping
7 Consistent Riccati expansion solvability, symmetries, and analytic solutions of a forced variable-coefficient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves 期刊论文 Liu Ping;Huang Bing;Ren Bo;Yang Jian-Rong
8 Dynamics of Mixed Lump-Soliton Solutions According to a (2 1)-Dimensional Coupled Nonlinear Partial Differential Like Equation 期刊论文 Ren Bo;He Zhi Wei;Sun Yong Li;Wang Fu Dong
9 A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions 期刊论文 Ren Bo;Lin Ji;Lou Zhi Mei
10 Backlund transformations, consistent Riccati expansion solvability, and soliton-cnoidal interaction wave solutions of Kadomtsev-Petviashvili equation 期刊论文 Liu Ping;Cheng Jie;Ren Bo;Yang Jian-Rong
11 Invariant interaction solutions for a supersymmetric mKdV equation 期刊论文 Bo Ren;Ji Lin;Zhi Mei Lou
12 Symmetry Reduction Related by Nonlocal Symmetry and Explicit Solutions for the Whitham-Broer-Kaup System 期刊论文 Ren Bo;Lin Ji
13 Rational solutions of a (2+1)-dimensional Sharma-Tasso-Olver equation 期刊论文 Ren Bo;Ma Wen-Xiu
14 Bifurcation of traveling wave solutions for (1+1)-dimensional resonant nonlinear Schrödinger equation 期刊论文 Song Ming;Wang Bai-Dan;Li Shao-Yang
15 Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations 期刊论文 Ren Bo;Ma Wen-Xiu;Yu Jun
16 Interaction behavior between solitons and (2 1)-dimensional CDGKS waves 期刊论文 Cheng Xueping;Yang Yunqing;Ren Bo;Wang Jianyong
17 D'Alembert wave and soliton molecule of the modified Nizhnik- Novikov-Veselov equation 期刊论文 Ren Bo;Lin Ji
18 Bifurcation analysis and exact traveling wave solutions for (2+1)-dimensional generalized modified dispersive water wave equation 期刊论文 Song Ming;Wang Bai-Dan;Cao Jun
19 Dynamical analysis of solitary waves, lumps and interaction phenomena of a (2 1)-dimensional high-order nonlinear evolution equation 期刊论文 Ren Bo;Lou Zhi Mei;Sun Yong Li;He Zhi Wei
20 Dynamics of a D'Alembert wave and a soliton molecule for an extended BLMP equation 期刊论文 Ren Bo
21 LUMPS AND THEIR INTERACTION SOLUTIONS OF A (2+1)-DIMENSIONAL GENERALIZED POTENTIAL KADOMTSEV-PETVIASHVILI EQUATION 期刊论文 Ren Bo;Lin Ji;Lou Zhi-Mei
22 Painleve Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation 期刊论文 Ren Bo
23 Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation 期刊论文 Ren Bo;Lin Ji;Lou Zhi-Mei
24 Interaction of localized waves and dynamic behavior in a (3+1)-dimensional partial differential equation 期刊论文 Ren Bo;Lin Ji;Yu Jun
25 Characteristics and interactions of solitary and lump waves of a (2 1)-dimensional coupled nonlinear partial differential equation 期刊论文 Ren Bo;Ma Wen Xiu;Yu Jun
26 Dynamics Behavior of Lumps and Interaction Solutions of a (3 1)-Dimensional Partial Differential Equation 期刊论文 Ren Bo
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