Nonlocal long-wave–short-wave resonance interaction equation: Dark solitons, breathers, rogue waves, semi-rational rogue waves and their dynamic behaviors
Xianjun Zhu, Xiaoming Zhu
Source abstract
This study investigates various solitary wave solutions to the nonlocal long-wave-short-wave resonance interaction equation. Multiple generalized tau functions are constructed using the bilinear Kadomtsev-Petviashvili hierarchy reduction method to derive rogue waves (RWs), breathers, dark solitons, and semi-rational RWs. Owing to the parity-time symmetry, asymptotic analysis demonstrates that these solitary wave solutions appear in pairs without disappearance, and their dynamical behaviors are illustrated graphically.
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