Exact solitary wave and soliton solutions of the generalized fifth order KdV equation

被引：35
|
作者：
Li, ZB [1 ]
Pan, SQ
机构：
[1] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China
[2] Lanzhou Univ, Dept Comp Sci, Lanzhou 730000, Peoples R China
来源：
ACTA PHYSICA SINICA | 2001年 / 50卷 / 03期
关键词：
fifth order KdV equation; solitary wave; solitary soliton;
D O I：
10.7498/aps.50.402
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
With the aid of Wu Wen-jun characteristic-set method in nonlinear algebraic equations-solving, and using the symbolic manipulation system, the exact solitary wave and soliton solutions to a class of fifth-order nonlinear evolution equation with general coefficients are obtained, which modifies and perfects the known results.
引用
收藏
页码：402 / 405
页数：4
相关论文
共 9 条
  • [1] NEW HIERARCHY OF KORTEWEG-DEVRIES EQUATIONS
    CAUDREY, PJ
    DODD, RK
    GIBBON, JD
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1976, 351 (1666) : 407 - 422
  • [2] LINK BETWEEN SOLITARY WAVES AND PROJECTIVE RICCATI-EQUATIONS
    CONTE, R
    MUSETTE, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (21): : 5609 - 5623
  • [3] KAUP DJ, 1980, STUD APPL MATH, V62, P189
  • [4] INTEGRALS OF NONLINEAR EQUATIONS OF EVOLUTION AND SOLITARY WAVES
    LAX, PD
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1968, 21 (05) : 467 - +
  • [5] LI ZB, 1993, J PHYS A-MATH GEN, V26, P6027, DOI 10.1088/0305-4470/26/21/039
  • [6] METHOD FOR FINDING N-SOLITON SOLUTIONS OF KDV EQUATION AND KDV LIKE EQUATION
    SAWADA, K
    KOTERA, T
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1974, 51 (05): : 1355 - 1367
  • [7] SHI H, 1998, INTRO MATH MECH
  • [8] XU BZ, 1998, ACTA PHYS SINICA, V47, P1946
  • [9] 李志斌, 1997, [数学物理学报. A辑, Acta Mathematica Scientia], V17, P81
1