SOME CONSTRAINTS AND SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION

被引：0
|
作者：
CHOU, T
机构：
[1] Dept. of Math., China Univ. of Sci. and Technol., Anhui
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 16期
关键词：
D O I：
10.1088/0305-4470/27/16/022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We illustrate the relations among the symmetry invariant group and constraint for a differential equation. Applied to the Kadomtsev-Petviashvili equation, some constraints and solutions are given. In particular, the equation associated with the symmetry sigma of the KP equation is introduced and discussed.
引用
收藏
页码：5573 / 5581
页数：9
相关论文
共 50 条
  • [41] UNIFIED KADOMTSEV-PETVIASHVILI EQUATION
    CHEN, XN
    PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1989, 1 (12): : 2058 - 2060
  • [42] Low regularity solutions for the Kadomtsev-Petviashvili I equation
    Colliander, J
    Kenig, C
    Staffilani, G
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2003, 13 (04) : 737 - 794
  • [43] On the Solutions and Conservation Laws of a Coupled Kadomtsev-Petviashvili Equation
    Khalique, Chaudry Masood
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [44] Lump solutions of a new generalized Kadomtsev-Petviashvili equation
    Yu, Jing
    Ma, Wen-Xiu
    Chen, Shou-Ting
    MODERN PHYSICS LETTERS B, 2019, 33 (10):
  • [45] A CLASS OF EXACT-SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION
    MALANYUK, TM
    RUSSIAN MATHEMATICAL SURVEYS, 1991, 46 (03) : 225 - 227
  • [46] Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients
    Liu, Jian-Guo
    Zhu, Wen-Hui
    Zhou, Li
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (07) : 793 - 797
  • [47] Genus-two solutions to the Kadomtsev-Petviashvili equation
    Cahyono, E
    Van Groesen, E
    Soewono, E
    DIFFERENTIAL EQUATIONS: THEORY, NUMERICS AND APPLICATIONS, 1997, : 233 - 243
  • [48] Solitary wave solutions for the modified Kadomtsev-Petviashvili equation
    Zhao, Xiaoshan
    Xu, Wei
    Jia, Huabing
    Zhou, Hongxian
    CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 465 - 475
  • [49] Shock wave solutions of the variants of the Kadomtsev-Petviashvili equation
    Triki, Houria
    Sturdevant, B. J. M.
    Hayat, T.
    Aldossary, O. M.
    Biswas, A.
    CANADIAN JOURNAL OF PHYSICS, 2011, 89 (09) : 979 - 984
  • [50] CTE method and interaction solutions for the Kadomtsev-Petviashvili equation
    Bo Ren
    Journal of the Korean Physical Society, 2017, 70 : 333 - 338
12345