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

页数：17

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