On periodic wave solution and asymptotic property of KdV-Sawada-Kotera equation

被引：7
|
作者：
Qin, Zhen-Yun [1 ]
机构：
[1] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2007年 / 76卷 / 12期
关键词：
KdV-Sawada-Kotera equation; the Hirota bilinear method; periodic wave solution; Riemann theta function;
D O I：
10.1143/JPSJ.76.124004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on the Riemann theta function, the Hirota bilinear method is extended to directly construct periodic wave solutions of KdV-Sawada-Kotera equation. The relations among various data related to the Riemann theta functions are explicitly given by the Fourier series representation. The asymptotic property of the periodic wave solution of the KdV-Sawada-Kotera equation is analyzed in detail. It is shown that well-known soliton solution given by Hirota can be reduced from the periodic wave solution.
引用
收藏
页数：4
相关论文
共 50 条
  • [21] Exact periodic solitary-wave solution for KdV equation
    Dai, Zheng-De
    Liu, Zhen-Jiang
    Li, Dong-Long
    CHINESE PHYSICS LETTERS, 2008, 25 (05) : 1531 - 1533
  • [22] Exact periodic solitary-wave solution for KdV equation
    School of Mathematics and Physics, Yunnan University, Kunming 650091, China
    不详
    不详
    Chin. Phys. Lett., 2008, 5 (1531-1533):
  • [23] Interactions between the y-periodic solution and the algebraic solution of the (2+1)-dimensional Sawada-Kotera equation
    Ruan, Hang-yu
    Li, Zhi-fang
    PHYSICA SCRIPTA, 2006, 74 (02) : 221 - 226
  • [24] Travelling wave solutions of a two-dimensional generalized Sawada–Kotera equation
    Abdullahi Rashid Adem
    Xing Lü
    Nonlinear Dynamics, 2016, 84 : 915 - 922
  • [25] The Wronskian Solution and Soliton Resonance of the Nonisospectral Generalised Sawada-Kotera Equation
    Zhou, Jian
    Li, Xiang-Gui
    Wang, Deng-Shan
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (04): : 213 - 223
  • [26] Singular travelling wave solutions of the fifth-order KdV, Sawada-Kotera and Kaup equations
    Bilge, AH
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (16): : 4967 - 4975
  • [27] Abundant periodic wave solutions for fifth-order Sawada-Kotera equations
    Tahir, Muhammad
    Awan, Aziz Ullah
    Osman, Mohamed S.
    Baleanu, Dumitru
    Alqurashi, Maysaa M.
    RESULTS IN PHYSICS, 2020, 17
  • [28] New solitary wave solutions of the Sawada-Kotera equation and its bidirectional form
    Ghanbari, Behzad
    Asadi, Esmaeel
    PHYSICA SCRIPTA, 2021, 96 (10)
  • [29] Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada–Kotera–Ito and Lax equations
    Shabir Ahmad
    Sayed Saifullah
    CommunicationsinTheoreticalPhysics, 2023, 75 (08) : 16 - 26
  • [30] Novel Exact Solution for the Bidirectional Sixth-Order Sawada-Kotera Equation
    Ma, Hongcai
    Chen, Xiaoyu
    Deng, Aiping
    UNIVERSE, 2023, 9 (01)
12345