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.
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收藏
页数：17
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