Direct algorithms for constructing high-order conservation laws of nonlinear partial differential equations

被引：0
|
作者：
Mei, Jian-Qin [1 ]
Zhang, Jing-Jing [1 ]
Zhang, Hong-Qing [1 ]
机构：
[1] School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
来源：
Dalian Ligong Daxue Xuebao/Journal of Dalian University of Technology | 2011年 / 51卷 / 02期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：304 / 308
相关论文
共 50 条
  • [41] Lie symmetry analysis, optimal system, exact solutions and conservation laws of a class of high-order nonlinear wave equations
    Li Kai-Hui
    Liu Han-Ze
    Xin Xiang-Peng
    ACTA PHYSICA SINICA, 2016, 65 (14)
  • [42] Quantum algorithms for nonlinear partial differential equations
    Jin, Shi
    Liu, Nana
    BULLETIN DES SCIENCES MATHEMATIQUES, 2024, 194
  • [43] The solution of high-order nonlinear ordinary differential equations by Chebyshev Series
    Akyuz-Dascioglu, Aysegul
    Cerdik-Yaslan, Handan
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5658 - 5666
  • [44] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications
    Anco, SC
    Bluman, G
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 : 545 - 566
  • [45] HIGH-ORDER SCHEMES AND ENTROPY CONDITION FOR NONLINEAR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS
    VILA, JP
    MATHEMATICS OF COMPUTATION, 1988, 50 (181) : 53 - 73
  • [46] On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
    Ranocha, Hendrik
    Winters, Andrew R.
    Schlottke-Lakemper, Michael
    Oeffner, Philipp
    Glaubitz, Jan
    Gassner, Gregor J.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2025, 520
  • [47] Direct construction method for conservation laws of partial differential equations - Part II: General treatment
    Anco, SC
    Bluman, G
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 : 567 - 585
  • [48] Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
    Singla, Komal
    Gupta, R. K.
    NONLINEAR DYNAMICS, 2017, 89 (01) : 321 - 331
  • [49] High-order nonlinear evolution equations
    Hill, James M., 1600, (45):
  • [50] Conservation laws analysis of nonlinear partial differential equations and their linear soliton solutions and Hamiltonian structures
    Ju, Long
    Zhou, Jian
    Zhang, Yufeng
    COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2023, 15 (02): : 24 - 49
12345