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Novel travelling wave structures for (2+1)-dimensional Sawada–Kotera equation
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-09-06 , DOI: 10.1016/j.aml.2021.107638 Xiaobo Wang 1 , Qiliang Zhao 1 , Man Jia 1 , Senyue Lou 1
中文翻译:
(2+1)维Sawada-Kotera方程的新行波结构
更新日期:2021-09-15
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-09-06 , DOI: 10.1016/j.aml.2021.107638 Xiaobo Wang 1 , Qiliang Zhao 1 , Man Jia 1 , Senyue Lou 1
Affiliation
Some special travelling wave solutions of the -dimensional Sawada–Kotera (SK) equation are constructed by a new travelling wave method related to the bilinear transformation. It is found the SK equation possesses plenty of novel travelling wave solutions, such as the few-cycle-pulse solitons (FCPs), the asymmetric soliton, the soliton molecules, the three-peak soliton, the plat soliton, the double-peak soliton, the periodic wave solutions, etc. All the obtained solutions are all related to the background.
中文翻译:
(2+1)维Sawada-Kotera方程的新行波结构
一些特殊的行波解 维Sawada–Kotera (SK) 方程是通过与双线性变换相关的新行波方法构建的。发现SK方程具有许多新的行波解,如少周期脉冲孤子(FCPs)、不对称孤子、孤子分子、三峰孤子、平板孤子、双峰孤子、周期波解等。所有得到的解都与背景有关。