N-soliton solutions for (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system

被引：1
|
作者：
Li, BangQing [1 ,2 ]
Wang, Cong [1 ]
机构：
[1] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China
[2] China Univ Min & Technol, Sch Mech Elect & Informat Engn, Beijing 100083, Peoples R China
来源：
ADVANCED RESEARCH ON ENGINEERING MATERIALS, ENERGY, MANAGEMENT AND CONTROL, PTS 1 AND 2 | 2012年 / 424-425卷
关键词：
(2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system; improved Hirota method; N-soliton solution; evolution process; EQUATION; ACOUSTICS;
D O I：
10.4028/www.scientific.net/AMR.424-425.564
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Applying a symbolic computation algorithm, namely, the improved Hirota bilinear method, a new type of the N-soliton solutions is obtained for the (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system. The solutions can be expressed explicitly. Furthermore, the evolution process is investigated for the N-soliton solutions.
引用
收藏
页码：564 / +
页数：2
相关论文
共 50 条
  • [31] New Wronskian Form of the N-Soliton Solution to a (2+1)-Dimensional Breaking Soliton Equation
    Cui Kai
    CHINESE PHYSICS LETTERS, 2012, 29 (06)
  • [32] Wronskian N-soliton solutions to a generalized KdV equation in (2+1)-dimensions
    Cheng, Li
    Zhang, Yi
    Ma, Wen-Xiu
    NONLINEAR DYNAMICS, 2023, 111 (02) : 1701 - 1714
  • [33] N-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation
    Ma, Wen-Xiu
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 190 : 270 - 279
  • [34] N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2+1)-DIMENSIONAL BOUSSINESQ EQUATION
    Wang, Kang-jia
    Liu, Jing-hua
    Si, J. I. N. G.
    Shi, Feng
    Wang, Guo-dong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (03)
  • [35] N-soliton solution and soliton collisions of the (2+1)-dimensional nonlinear long-wave Boussinesq-class equation
    Sun, Kun
    Tian, Bo
    Liu, Wen-Jun
    Li, Min
    Wang, Pan
    Jiang, Yan
    PHYSICA SCRIPTA, 2011, 84 (03)
  • [36] The soliton solutions and evolution of the (2+1)-dimensional dissipative long wave equation
    Yang, Juan
    Feng, Qingjiang
    RESULTS IN PHYSICS, 2021, 21
  • [37] Ladder operator approach of special functions and the N-soliton solutions of the 2+1 dimensional finite toda equation
    Nakamura, A
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (04) : 838 - 842
  • [38] N-soliton solutions for the (2+1)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers
    Yu, Xin
    Gao, Yi-Tian
    Sun, Zhi-Yuan
    Meng, Xiang-Hua
    Liu, Ying
    Feng, Qian
    Wang, Ming-Zhen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 378 (02) : 519 - 527
  • [39] Novel localized waves and interaction solutions for a dimensionally reduced (2+1)-dimensional Boussinesq equation from N-soliton solutions
    Kumar, Dipankar
    Nuruzzaman, Md
    Paul, Gour Chandra
    Hoque, Ashabul
    NONLINEAR DYNAMICS, 2022, 107 (03) : 2717 - 2743
  • [40] An integrable (2+1)-dimensional nonlinear Schrodinger system and its optical soliton solutions
    Hosseini, K.
    Sadri, K.
    Mirzazadeh, M.
    Salahshour, S.
    OPTIK, 2021, 229
12345