Abstract
In this paper, we will focus on the Myrzakulov–Lakshmanan-IV (ML-IV) equation. Based on relevant Lax pair, N-fold generalized Darboux Transformation (DT) will be constructed. Some soliton, breather and rogue wave solutions will be derived under different backgrounds through the odtained DT. In the meantime we will analyze the dynamic features of those solutions graphically.
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