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
  • [31] EXPLICIT CONSTRUCTION OF SOLUTIONS OF THE MODIFIED KADOMTSEV-PETVIASHVILI EQUATION
    GESZTESY, F
    HOLDEN, H
    SAAB, E
    SIMON, B
    JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 98 (01) : 211 - 228
  • [32] Stochastic Kadomtsev-Petviashvili equation
    V. A. Gorodtsov
    Journal of Experimental and Theoretical Physics, 2000, 90 : 1105 - 1113
  • [33] On the nonisospectral Kadomtsev-Petviashvili equation
    Yu, GF
    Tam, HW
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (13): : 3367 - 3373
  • [34] Quasideterminant Solutions of a Noncommutative Nonisospectral Kadomtsev-Petviashvili Equation
    朱晓明
    张大军
    李春霞
    CommunicationsinTheoreticalPhysics, 2011, 55 (05) : 753 - 759
  • [35] Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients
    刘建国
    朱文慧
    周丽
    Communications in Theoretical Physics, 2019, 71 (07) : 793 - 797
  • [36] Three-Soliton Solutions of The Kadomtsev-Petviashvili Equation
    King, Tiong Wei
    Tiong, Ong Chee
    Lsa, Mukheta
    MATEMATIKA, 2005, 21 (01) : 1 - 13
  • [37] THE CONSTRAINT OF THE KADOMTSEV-PETVIASHVILI EQUATION AND ITS SPECIAL SOLUTIONS
    CHENG, Y
    LI, YS
    PHYSICS LETTERS A, 1991, 157 (01) : 22 - 26
  • [38] CTE method and interaction solutions for the Kadomtsev-Petviashvili equation
    Ren, Bo
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2017, 70 (04) : 333 - 338
  • [39] The explicit symmetry breaking solutions of the Kadomtsev-Petviashvili equation
    Ma, Zheng-Yi
    Fei, Jin-Xi
    Zhu, Quan-Yong
    Cao, Wei-Ping
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (11)
  • [40] Low regularity solutions for the Kadomtsev-Petviashvili I equation
    J. Colliander
    C. Kenig
    G. Staffilani
    Geometric & Functional Analysis GAFA, 2003, 13 : 737 - 794
12345