Periodic solutions of the modified short pulse equation

被引：0
|
作者：
Xue, Min [1 ]
Li, Zhigang [2 ]
Zhu, Yuchen [3 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] Shanxi Inst Technol, Dept Fundamental Courses, Yangquan 045000, Shanxi, Peoples R China
[3] Univ San Francisco, Coll Arts & Sci, 2130 Fulton St, San Francisco, CA 94117 USA
来源：
PRAMANA-JOURNAL OF PHYSICS | 2023年 / 97卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Modified short pulse equation; reciprocal transformation; sine-Gordon equation; periodic solutions; soliton solutions; TRANSFORMATION; PROPAGATION; LONG;
D O I：
10.1007/s12043-023-02580-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
With the aid of the reciprocal transformation between the modified short pulse (mSP) equation and the sine-Gordon (sG) equation, certain periodic solutions of the mSP equation are constructed. Both one-phase and two-phase periodic solutions are presented. Taking the proper limits of those periodic solutions, various solitary wave solutions such as one-cuspon, two-cuspon and one-breather solutions are recovered. In addition, three novel standing wave solutions for the mSP equation are obtained.
引用
收藏
页数：17
相关论文
共 50 条
  • [1] Periodic solutions of the modified short pulse equation
    Min Xue
    Zhigang Li
    Yuchen Zhu
    Pramana, 97
  • [2] Periodic solutions of the short pulse model equation
    Matsuno, Yoshimasa
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (07)
  • [3] The periodic traveling-wave solutions of the short-pulse equation
    Xie, Shaolong
    Hong, Xiaochun
    Gao, Bin
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) : 2542 - 2548
  • [4] Backlund transformations for the modified short pulse equation and complex modified short pulse equation
    Xue, Min
    Liu, Q. P.
    Mao, Hui
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (04):
  • [5] Bäcklund transformations for the modified short pulse equation and complex modified short pulse equation
    Min Xue
    Q. P. Liu
    Hui Mao
    The European Physical Journal Plus, 137
  • [6] Exact Solutions to Short Pulse Equation
    FU Zun-Tao
    Communications in Theoretical Physics, 2009, 51 (03) : 395 - 396
  • [7] Exact Solutions to Short Pulse Equation
    Fu Zun-Tao
    Zheng Ming-Hua
    Liu Shi-Kuo
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 51 (03) : 395 - 396
  • [8] Some periodic and solitary travelling-wave solutions of the short-pulse equation
    Parkes, E. J.
    CHAOS SOLITONS & FRACTALS, 2008, 38 (01) : 154 - 159
  • [9] On some single-hump solutions of the short-pulse equation and their periodic generalizations
    Shen, Y.
    Williams, F.
    Whitaker, N.
    Kevrekidis, P. G.
    Saxena, A.
    Frantzeskakis, D. J.
    PHYSICS LETTERS A, 2010, 374 (29) : 2964 - 2967
  • [10] Doubly periodic solutions of the modified Kawahara equation
    Zhang, D
    CHAOS SOLITONS & FRACTALS, 2005, 25 (05) : 1155 - 1160
12345