Rogue wave, interaction solutions to the KMM system

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

卷:502

Article

Jin, Xin-Wei¹  Lin, Ji¹ 

[1] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

关键词: Kraenkel-Manna-Merle system;    Consistent tanh expansion method;    Painleve analysis;    Rogue wave;    Damping effects;   

DOI  :  10.1016/j.jmmm.2020.166590

来源: Elsevier

【 摘 要 】

In this paper, the consistent tanh expansion (CTE) method and the truncated Painleve analysis are applied to the Kraenkel-Manna-Merle (KMM) system, which describes propagation of short wave in ferromagnets. Two series of analytic solutions of the original KMM system (free of damping effect) are obtained via the CTE method. The interaction solutions contain an arbitrary function, which provides a wide variety of choices to acquire new propagation structures. Particularly, the breather soliton, periodic oscillation soliton and multipole instanton are obtained. Furthermore, we obtain some exact solutions of the damped-KMM equation at the first time. On the other hand, a coupled equation containing quadri-linear form and tri-linear form for the original KMM system is obtained by the truncated Painleve analysis, and the rogue wave solution and interaction solutions between rogue wave and multi-soliton for the KMM system are discussed.

【 授权许可】

Free