基于微分特征列集和Groebner基的偏微分方程的对称机械化算法

11661060
2016
A0605.符号计算与机器证明
苏道毕力格
地区科学基金项目
教授
内蒙古工业大学
38万元
微分特征列集算法;广义对称;最优系统;微分Groebner基;对称分类
2017-01-01到2020-12-31
  • 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 Approximate analytical and numerical solutions of a nonlinear boundary value problem in fluid mechanics based on symmetry reduction 期刊论文 Litao Gai;Mingchu Li;Bilige Sudao
2 Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations 期刊论文 Pei Jian-Ting;Bai Yu-Shan
3 A GENERAL SUB-EQUATION METHOD TO THE BURGERS-LIKE EQUATION 期刊论文 Wang Xiao Min;Bilige Su Dao;Bai Yue Xing
4 Bright-dark solitons and interaction phenomenon for p-gBKP equation by using bilinear neural network method 期刊论文 Run-Fa Zhang;Sudao Bilige;Jian-Guo Liu;Mingchu Li
5 Poisson方程的一维最优系统和不变解 期刊论文 白月星;苏道毕力格
6 Applications of Differential Form Wu’s Method to Determine Symmetries of (Partial) Differential Equations 期刊论文 Temuer Chaolu;Sudao Bilige
7 New types of interaction solutions to the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation 期刊论文 Bai Yuexing;Temuer Chaolu;Li Yan;Sudao Bilige
8 The study of lump solution and interaction phenomenon to (2+1)-dimensional generalized fifth-order KdV equation 期刊论文 Lü Jianqing;Bilige Sudao;Chaolu Temuer
9 Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation 期刊论文 Zhang Run Fa;Bilige Sudao
10 Novel interaction phenomena of the (3+1)-dimensional Jimbo-Miwa equation 期刊论文 Wang Xiaomin;Bilige Sudao
11 Symmetry reduction and numerical solution of a nonlinear boundary value problem in fluid mechanics 期刊论文 Sudao Bilige;Han Yanqing
12 基于吴方法的确定微分方程对称Lie代数结构常数机械化算法 期刊论文 特木尔朝鲁;魏康康;姚裕丰;苏道
13 Application of the Generalized Simplest Equation Method to the Burgers Equation 期刊论文 白月星;苏道毕力格;高晓庆;吕建青
14 Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using Bilinear Neural Network Method 期刊论文 Zhang Runfa;Sudao Bilige;Temuer Chaolu
15 Diversity of New Three-Wave Solutions and New Periodic Waves for the (3+1)-Dimensional Kadomtsev-Petviashvili-Boussinesq- Like Equation 期刊论文 Meiyu Li;Sudao Bilige;Runfa Zhang;Lihui Han
16 Diversity of interaction solutions to the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation 期刊论文 Lü Jianqing;Sudao Bilige
17 Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev-Petviashvili-Benjamin-Bona- Mahony Equation 期刊论文 Jianqing Lü;Sudao Bilige;Xiaoqing Gao;Yuexing Bai;Runfa Zhang
18 New interaction phenomenon and the periodic lump wave for the Jimbo-Miwa equation 期刊论文 Zhang Runfa;Bilige Sudao
19 Interaction phenomenon to dimensionally reduced p-gBKP equation 期刊论文 Zhang Runfa;Bilige Sudao;Bai Yuexing;Lu Jianqing;Gao Xiaoqing
20 一个非线性偏微分方程边值问题的对称约化及其数值解 期刊论文 韩雁清;苏道毕力格
21 Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation 期刊论文 Wang Xiaomin;Bilige Sudao;Pang Jing
22 Study on exact solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation 期刊论文 Lihui Han;Sudao Bilige;Runfa Zhang;Meiyu Li
23 Symmetry Reduction and Numerical Solution of Von Karman Swirling Viscous Flow 期刊论文 Wang XiaoMin;Bilige SuDao
24 New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo-Miwa-like equation 期刊论文 Zhang Runfa;Bilige Sudao;Fang Tao;Chaolu Temuer
25 Diverse exact analytical solutions and novel interaction solutions for the (2+1)-dimensional Ito equation 期刊论文 Feng Yueyang;Bilige Sudao;Wang Xiaomin
26 Potential symmetries, One-Dimensional Optimal system and Exact solutions of the Coupled Burgers' equations 期刊论文 Yuexing Bai;Sudao Bilige;Temuer Chaolu
27 一类复合方程的古典和非古典对称分类 期刊论文 白月星;苏道毕力格
28 Lump solutions of a (2+1)-dimensional bSK equation 期刊论文 Lv Jianqing;Bilige Sudao
29 ABUNDANT LUMP SOLUTIONS AND INTERACTION SOLUTIONS OF A (3 1)-D KADOMTSEV-PETVIASHVILI EQUATION 期刊论文 Gao Xiaoqing;Bilige Sudao;Lü Jianqing;Bai Yuexing;Zhang Runfa;Chaolu Temuer
30 Abundant Lump Solution and Interaction Phenomenon of (3 1)-Dimensional Generalized Kadomtsev-Petviashvili Equation 期刊论文 Lü Jianqing;Bilige Sudao;Gao Xiaoqing
31 The study of lump solution and interaction phenomenon to (2 1)-dimensional potential Kadomstev-Petviashvili equation 期刊论文 Lü Jianqing;Bilige Sudao
32 Potential Symmetries, Lie Transformation Groups and Exact Solutions of Kdv-Burgers Equation 期刊论文 王晓民;苏道毕力格;白月星
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