A new approach to Backlund transformations of nonlinear evolution equations

被引:0
|
作者
Fan, EG [1 ]
Zhang, HQ [1 ]
机构
[1] Dalian Univ Technol, Inst Math, Dalian 116024, Peoples R China
关键词
nonlinear evolution equation; Backlund transformation; Lax pair;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a new approach to Backlund transformations of nonlinear evolution equations is presented. The results obtained by this procedure are completely the same as that by Painleve truncating expansion.
引用
收藏
页码:645 / 650
页数:6
相关论文
共 50 条
  • [41] BACKLUND TRANSFORMATION AND GAUGE TRANSFORMATION OF NONLINEAR EVOLUTION-EQUATIONS
    TIAN, C
    PHYSICA D-NONLINEAR PHENOMENA, 1987, 28 (1-2) : 244 - 245
  • [42] New transformations and new approach to find exact solutions to nonlinear equations
    Fu, ZT
    Liu, SK
    Liu, SD
    PHYSICS LETTERS A, 2002, 299 (5-6) : 507 - 512
  • [43] Novel Backlund Transformations for Integrable Equations
    Gordoa, Pilar Ruiz
    Pickering, Andrew
    MATHEMATICS, 2022, 10 (19)
  • [44] BACKLUND-TRANSFORMATIONS OF THE EINSTEIN EQUATIONS
    OMOTE, M
    WADATI, M
    PHYSICA A, 1982, 114 (1-3): : 100 - 104
  • [45] Hierarchies of difference equations and Backlund transformations
    Clarkson, PA
    Hone, ANW
    Joshi, N
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 : 13 - 26
  • [46] Backlund transformations for integrable lattice equations
    Atkinson, James
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (13)
  • [47] Backlund transformations and exact soliton solutions for nonlinear Schrodinger-type equations
    Khater, AH
    Callebaut, DK
    El-Kalaawy, OH
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 1998, 113 (09): : 1121 - 1130
  • [48] An analytic approach to constructing Backlund transformations and exact solutions to nonlinear wave equations in non-polynomial form
    Liu, Hanze
    Bai, Cheng-Lin
    Xin, Xiangpeng
    NUCLEAR PHYSICS B, 2019, 948
  • [49] Auto-Backlund Transformations for a group of nonlinear Klein-Gordon equations
    Wang, Xiaoli
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 3859 - 3861
  • [50] Variational approach to the Backlund transformations
    Sokalski, K
    Wietecha, T
    Lisowski, Z
    ACTA PHYSICA POLONICA B, 2001, 32 (01): : 17 - 28