Periodic solutions of the modified short pulse equation
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作者:
Xue, Min
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China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R ChinaChina Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
Xue, Min
[1
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Li, Zhigang
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Shanxi Inst Technol, Dept Fundamental Courses, Yangquan 045000, Shanxi, Peoples R ChinaChina Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
Li, Zhigang
[2
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Zhu, Yuchen
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Univ San Francisco, Coll Arts & Sci, 2130 Fulton St, San Francisco, CA 94117 USAChina Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
Zhu, Yuchen
[3
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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
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.
机构:
Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R ChinaZhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
Shen, Shoufeng
Feng, Bao-Feng
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Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78541 USAZhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
Feng, Bao-Feng
Ohta, Yasuhiro
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Kobe Univ, Dept Math, Kobe, Hyogo 6578501, JapanZhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
机构:
Zhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R ChinaZhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R China
Sun, Hong-Qian
Shen, Shou-Feng
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Zhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R ChinaZhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R China
Shen, Shou-Feng
Zhu, Zuo-Nong
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机构:
Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
Fuyao Univ Sci & Technol, Fuzhou 350122, Peoples R ChinaZhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R China