Rogue periodic waves and hybrid nonlinear waves in the $$(2+1)$$ ( 2 + 1
Rogue periodic waves and hybrid nonlinear waves in the $$(2+1)$$ ( 2 + 1
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DOI：
10.1007/s11071-023-08539-y
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发表时间：
2023-05
影响因子：
5.6
通讯作者：
Wurile;Taogetusang;Chunxia Li;Zhaqilao
中科院分区：
文献类型：
--
作者：
Wurile;Taogetusang;Chunxia Li;Zhaqilao
在修正的Korteweg-de弗里斯（mKdV）族中，将二维Caudrey-Dodd-Gibbon-Kotera-Sawada（CDGKS）方程分解为二维孤子方程.借助于该分解，结合mKdV谱问题的非线性化和N重Darboux变换，得到了Jacobian椭圆函数dn和cn背景下CDGKS方程的两个异常波解.此外，通过N重达布变换，得到了CDGKS方程中孤子和呼吸子的混合解。特别地，通过一些图形说明了CDGKS方程的动力学行为。本文 丰富 周期波背景下高维非线性发展方程的流氓波解结构。
The-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation is decomposed into two-dimensional soliton equations in the modified Korteweg–de Vries (mKdV) hierarchy. With the aid of the decomposition, two rogue wave solutions to the CDGKS equation on the background of Jacobian elliptic functionsdnandcnare derived by combining nonlinearization of the mKdV spectral problem and an N-fold Darboux transformation. Besides, the hybrid solutions of soliton and breather in the CDGKS equation is also presented by the N-fold Darboux transformation. In particular, the dynamical behavior of the CDGKS equation are illustrated through some figures. The paper enriches the rogue wave solution structure of the higher dimensional nonlinear evolution equation on the periodic wave background.