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The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:45/0  |  Submit date:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download:45/0  |  Submit date:2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
An application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type 期刊论文
ADVANCES IN MATHEMATICS, 2018, 卷号: 338, 页码: 1077-1118
Authors:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao;  Zhao, Jun-Xiao
Favorite  |  View/Download:96/0  |  Submit date:2019/01/11
Multipeakons  Pfaffian  Novikov equation  Toda lattice of BKP type  
The Nizhnik-Veselov-Novikov equation with self-consistent sources 期刊论文
THEORETICAL AND MATHEMATICAL PHYSICS, 2008, 卷号: 157, 期号: 1, 页码: 1474-1483
Authors:  Wang, Hong-Yan
Favorite  |  View/Download:60/0  |  Submit date:2018/07/30
Nizhnik-Veselov-Novikov equation  self-consistent source  "source generation" procedure  Backlund transformation  Lax pair  
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
Authors:  Wang, Deng-Shan;  Li, Hongbo
Favorite  |  View/Download:52/0  |  Submit date:2018/07/30
travelling wave solution  multi-solitary wave  factorization technique  Bessel functions  Hirota's bilinear method  Painleve analysis  Riccati equation  elliptic equation  
Interaction between line soliton and algebraic soliton for asymmetric Nizhnik-Novikov-Veselovequation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 卷号: 49, 期号: 6, 页码: 1547-1552
Authors:  Ruan Hang-Yu;  Li Zhi-Fang
Favorite  |  View/Download:53/0  |  Submit date:2018/07/30
variable separation approach  the interaction between line soliton and algebraic soliton  (2+1)-dimensional ANNV equation  
Elliptic equation's new solutions and their applications to two nonlinear partial differential equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 188, 期号: 1, 页码: 762-771
Authors:  Wang, Deng-Shan;  Li, Hong-Bo
Favorite  |  View/Download:67/0  |  Submit date:2018/07/30
symbolic computation  elliptic equation  non-travelling wave solution  nonlinear partial differential equations  
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2006, 卷号: 29, 期号: 4, 页码: 948-964
Authors:  Chen, Yong;  Yan, Zhenya
Favorite  |  View/Download:58/0  |  Submit date:2018/07/30
A series of soliton-like and double-like periodic solutions of a (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 卷号: 42, 期号: 5, 页码: 655-660
Authors:  Chen, Y;  Wang, Q;  Li, B
Favorite  |  View/Download:39/0  |  Submit date:2018/07/30
symbolic computation  soliton-like solution  Weierstrass and Jacobi elliptic functions  periodic solution  
A series of new double periodic solutions to a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation 期刊论文
CHINESE PHYSICS, 2004, 卷号: 13, 期号: 11, 页码: 1796-1800
Authors:  Yong, C;  Qi, W
Favorite  |  View/Download:58/0  |  Submit date:2018/07/30
(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation  Jacobi elliptic functions  travelling wave solution  soliton solution  periodic solution