Rogue waves and hybrid solutions of the Davey–Stewartson I equation

• Published in: Nonlinear dynamics Vol. 95; no. 1; pp. 839 - 857
• Main Authors: Liu, Yaobin, Qian, Chao, Mihalache, Dumitru, He, Jingsong
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 2019; Springer Nature B.V
• Subjects: Automotive Engineering; Automotive parts; Classical Mechanics; Control; Dynamical Systems; Engineering; Exact solutions; Lie groups; Mechanical Engineering; Original Paper; Partial differential equations; Physics; Solitary waves; Vibration; Davey–Stewartson I equation; Rogue waves; Hybrid solutions

Explicit forms of rogue waves and hybrid solutions of the Davey–Stewartson I (DS I) equation are derived by performing an appropriate limiting procedure on soliton solutions that are generated by the Hirota bilinear method. Using this method, many interesting, from the physical point of view, hybrid...