Interactions between soliton and rogue wave for a (2+1)-dimensional generalized breaking soliton system: Hidden rogue wave and hidden soliton

• Published in: Computers & mathematics with applications (1987) Vol. 78; no. 3; pp. 827 - 839
• Main Authors: Ma, Yu-Lan, Li, Bang-Qing
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.08.2019; Elsevier BV
• Subjects: (2+1)-dimensional generalized breaking soliton system; Anti takeover strategy; Bilinear transformation method; C plus plus; Hidden rogue wave; Hidden soliton; Interaction characteristics; Memorial services; Mixed soliton and rogue wave solution; Riemann waves; Solitary waves; Bilinear transformation method; Hidden rogue wave; (2+1)-dimensional generalized breaking soliton system; Mixed soliton and rogue wave solution; Hidden soliton; Interaction characteristics
• ISSN: 0898-1221; 1873-7668
• DOI: 10.1016/j.camwa.2019.03.002

A (2+1)-dimensional generalized breaking soliton system is under investigation, which can be used to describe the interaction between Riemann wave and long wave along with two space directions in nonlinear media. Rogue wave solutions, two types of mixed soliton and rogue wave solutions are constructed through appropriately choosing the functions in the bilinear forms. The rogue wave structures and the interaction characteristics between the soliton and rogue wave are studied in details. Novel hidden rogue wave and hidden soliton, which are invisible but work, are observed during the interactions.