Dynamics of rogue waves on multisoliton background in the Benjamin Ono equation

Pramana

BIAO LI1¹  YUN-KAI LIU¹ 

[1] Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Department of Mathematics, Ningbo University, Ningbo 315211, People’s Republic of China$$

关键词: Benjamin Ono equation;    rogue wave;    Hirota bilinear method;    hybrid solution;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

For the Benjamin Ono equation, the Hirota bilinear method and long wave limit method are applied to obtain the breathers and the rogue wave solutions. Bright and dark rogue waves exist in the Benjamin Ono equation, and their typical dynamics are analysed and illustrated. The semirational solutions possessing rogue waves and solitons are also obtained, and demonstrated by the three-dimensional figures. Furthermore, the hybrid of rogue wave and breather solutions are also found in the Benjamin Ono equation.

【 授权许可】

Unknown