修正短脉冲方程的周期解

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2023-07-17 DOI:10.1007/s12043-023-02580-7

Min Xue, Zhigang Li, Yuchen Zhu

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引用次数: 0

摘要

利用改进的短脉冲方程与正弦戈登方程的互反变换，构造了短脉冲方程的周期解。给出了单相和两相周期解。取这些周期解的适当极限，恢复了各种孤波解，如单尖点解、双尖点解和单呼吸解。此外，还得到了mSP方程的三种新颖驻波解。

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Periodic solutions of the modified short pulse equation

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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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.