Truncated Painleve expansion with symbolic computation for a general Kadomtsev-Petviashvili equation with variable coefficients

被引：0
|
作者：
Bo, T
Gao, YT
机构：
[1] LANZHOU UNIV,INST SCI & ENGN COMPUTAT,LANZHOU 730000,PEOPLES R CHINA
[2] LANZHOU UNIV,DEPT COMP SCI,LANZHOU 730000,PEOPLES R CHINA
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 1996年 / 51卷 / 03期
关键词：
truncated Painleve expansion; symbolic computation; general variable-coefficient Kadomtsev-Petviashvili equation; explicit solutions;
D O I：
暂无
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Able to realistically model various physical situations, the variable-coefficient generalizations of the celebrated Kadmotsev-Petviashvili equation are of current interest in physical and mathematical sciences. In this paper, we make use of both the truncated Painleve expansion and symbolic computation to obtain an auto-Backlund transformation and certain soliton-typed explicit solutions for a general Kadomtsev-Petviashvili equation with variable coefficients.
引用
收藏
页码：175 / 178
页数：4
相关论文
共 50 条
  • [21] Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
    Li, Lingfei
    Xie, Yingying
    CHAOS SOLITONS & FRACTALS, 2021, 147 (147)
  • [22] N-soliton solutions, Backlund transformation and Lax Pair for a generalized variable-coefficient cylindrical Kadomtsev-Petviashvili equation
    Lan, Zhong-Zhou
    APPLIED MATHEMATICS LETTERS, 2024, 158
  • [23] Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation
    Lu, Xing
    Chen, Si-Jia
    Liu, Guo-Zhu
    Ma, Wen-Xiu
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 11 (03) : 594 - 603
  • [24] Nonlinear waves for a variable-coefficient modified Kadomtsev-Petviashvili system in plasma physics and electrodynamics
    Wei, Guang-Mei
    Song, Yu-Xin
    Xing, Tian-Chi
    Miao, Shu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2025, 77 (01)
  • [25] Exploring the (3+1)-generalized Kadomtsev-Petviashvili equation: symmetries, reductions, and exact solutions
    Ahamed, J. Mohammed Zubair
    Sinuvasan, R.
    PHYSICA SCRIPTA, 2025, 100 (05)
  • [26] Lump-type solutions of a generalized Kadomtsev-Petviashvili equation in (3+1)-dimensions
    Cheng, Xue-Ping
    Ma, Wen-Xiu
    Yang, Yun-Qing
    CHINESE PHYSICS B, 2019, 28 (10)
  • [27] Soliton Solutions, Backlund Transformations and Lax Pair for a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids
    Wang Yun-Po
    Tian Bo
    Sun Wen-Rong
    Zhen Hui-Ling
    Jiang Yan
    Sun Ya
    Xie Xi-Yang
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (05) : 551 - 557
  • [28] Rational solutions and rogue waves of the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation
    Xie, Yingying
    Yan, Yongsheng
    Li, Lingfei
    CHINESE JOURNAL OF PHYSICS, 2022, 77 : 2047 - 2059
  • [29] Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients
    Chen, Haiwei
    Manafian, Jalil
    Eslami, Baharak
    Mendoza Salazar, Maria Jose
    Kumari, Neha
    Sharma, Rohit
    Joshi, Sanjeev Kumar
    Mahmoud, K. H.
    Alsubaie, A. sa.
    SCIENTIFIC REPORTS, 2024, 14 (01):
  • [30] Analysis of the Generalized KdV Equation with Variable Coefficients Painleve
    Ying, Li
    Xu, Li
    2013 INTERNATIONAL CONFERENCE ON ECONOMIC, BUSINESS MANAGEMENT AND EDUCATION INNOVATION (EBMEI 2013), VOL 18, 2013, 18 : 137 - 140
12345