THE SYMMETRY APPROACH TO HIGHER-DIMENSIONAL NONLINEAR EQUATIONS

被引:0
|
作者
ASANO, N
NAKAJIMA, H
机构
[1] Dept. of Inf. Sci., Utsunomiya Univ.
来源
关键词
D O I
10.1088/0305-4470/26/9/013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Conditions for the existence of recursion operators are studied for arbitrary-order scalar partial differential equations with two independent variables. The coefficients of the operator are successively determined by those of the terms with higher degree. For a class of second-order equations, the operators with degree one are completely determined.
引用
收藏
页码:2169 / 2178
页数:10
相关论文
共 50 条
  • [31] Residual symmetry, CRE integrability and interaction solutions of two higher-dimensional shallow water wave equations
    刘希忠
    李界通
    俞军
    Chinese Physics B, 2023, (11) : 367 - 373
  • [32] Higher-dimensional theories, dilaton fields and spontaneous symmetry breaking
    Macias, A.
    Camacho, A.
    Matos, T.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 1995, 4 (05): : 617 - 637
  • [33] SPONTANEOUS COMPACTIFICATION AND THE HIGHER-DIMENSIONAL VACUUM EINSTEIN EQUATIONS
    GEGENBERG, JD
    KUNSTATTER, G
    CLASSICAL AND QUANTUM GRAVITY, 1986, 3 (03) : 379 - 389
  • [34] Asymptotics of solutions of higher-dimensional integrable equations and their perturbations
    Kiselev O.M.
    Journal of Mathematical Sciences, 2006, 138 (6) : 6067 - 6230
  • [35] Love symmetry in higher-dimensional rotating black hole spacetimes
    Gray, Finnian
    Keeler, Cynthia
    Kubiznak, David
    Martin, Victoria
    JOURNAL OF HIGH ENERGY PHYSICS, 2025, (03):
  • [36] HIGHER-DIMENSIONAL COSMOLOGICAL SOLUTIONS WITH GENERALIZED EINSTEIN EQUATIONS
    HENRIQUES, AB
    NUCLEAR PHYSICS B, 1986, 277 (3-4) : 621 - 633
  • [37] SPONTANEOUS GAUGE-SYMMETRY BREAKING IN HIGHER-DIMENSIONAL THEORIES
    LIM, CS
    PHYSICAL REVIEW D, 1985, 31 (10): : 2507 - 2513
  • [38] BLACKFOLD APPROACH FOR HIGHER-DIMENSIONAL BLACK HOLES
    Emparan, Roberto
    Harmark, Troels
    Niarchos, Vasilis
    Obers, Niels A.
    ACTA PHYSICA POLONICA B, 2009, 40 (12): : 3459 - 3477
  • [39] Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations
    Chen, Yong
    Yan, Zhenya
    Malomed, Boris A.
    PHYSICA D-NONLINEAR PHENOMENA, 2022, 430
  • [40] Computations of traveling solitary solutions for the focusing branch of nonlinear dispersive equations in higher-dimensional spaces
    Ju, Songdong
    Feng, Zhaosheng
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13E : 731 - 735