For the higher-order Gerdjikov-Ivanov equation, breathers convert into W-shaped, M-shaped, multi-peak, anti-dark solitons and periodic waves when their hyperbolic and trigonometric parts share a velocity, and the double-pole versions follow the same rule.
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Breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation
For the higher-order Gerdjikov-Ivanov equation, breathers convert into W-shaped, M-shaped, multi-peak, anti-dark solitons and periodic waves when their hyperbolic and trigonometric parts share a velocity, and the double-pole versions follow the same rule.