Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions
Darboux transformation of a two‐component generalized Sasa–Satsuma equation and explicit solutions
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DOI：
10.1002/mma.7574
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发表时间：
2021-06
影响因子：
2.9
通讯作者：
X. Geng;Yihao Li;Jiao Wei;Yunyun Zhai
中科院分区：
文献类型：
--
作者：
X. Geng;Yihao Li;Jiao Wei;Yunyun Zhai
本文研究的是一个与4 × 4矩阵谱问题相关联的两分量广义Sasa-Satsuma方程。基于Lax对之间的规范变换，我们构造了两分量广义Sasa-Satsuma方程的达布变换.相应的N重达布变换是根据迭代表示和紧行列式形式导出的。作为达布变换和极限方法的应用，得到了一些有趣的解，包括行波孤子解、呼吸孤子解和流氓波解，并给出了图解.
Under investigation in this paper is a two‐component generalized Sasa–Satsuma equation associated with a 4 × 4 matrix spectral problem. We construct Darboux transformation for the two‐component generalized Sasa–Satsuma equation on basis of the gauge transformation between the Lax pairs. The corresponding N‐fold Darboux transformation is derived in terms of both iterative representation and compact determinant form. As applications of the Darboux transformation together with the limit technique, some interesting solutions including traveling soliton solutions, breather soliton solutions, and rogue wave solutions are explicitly obtained and graphically illustrated.