Multi-breather solutions to the Sasa–Satsuma equation
Multi-breather solutions to the Sasa–Satsuma equation
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DOI：
10.1098/rspa.2021.0711
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发表时间：
2021-11
期刊：
影响因子：
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通讯作者：
Chengfa Wu;Bo Wei;Changyan Shi;Bao-Feng Feng-Bao-Feng-Feng-2264833290
中科院分区：
文献类型：
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作者：
Chengfa Wu;Bo Wei;Changyan Shi;Bao-Feng Feng-Bao-Feng-Feng-2264833290
本文系统地研究了Sasa-Satsuma方程（SSE）的一般呼吸解。首先，在适当的平面波边界条件下，将SSE转化为三个Hirota双线性方程组。从Kadomtsev-Petviashvili层次结构的一个特殊排列的τ函数和满足的11个双线性方程出发，实现了c型约简、维数约简和复共轭约简的一系列步骤，并将这11个方程约简为3个双线性方程。同时，在偶阶行列式下，找到了SSE的一般呼吸解。对单呼吸解和双呼吸解进行了详细的计算和分析。
General breather solution to the Sasa–Satsuma equation (SSE) is systematically investigated in this paper. We firstly transform the SSE into a set of three Hirota bilinear equations under a proper plane wave boundary condition. Starting from a specially arranged tau-function of the Kadomtsev–Petviashvili hierarchy and a set of 11 bilinear equations satisfied, we implement a series steps of reduction procedure, i.e. C-type reduction, dimension reduction and complex conjugate reduction, and reduce these 11 equations to three bilinear equations for the SSE. Meanwhile, the general breather solution to the SSE is found in determinant of even order. The one- and two-breather solutions are calculated and analysed in detail.