Abstract

In this manuscript, by implementing appropriate transformation mechanism multiple breather solitons such as Ma-breather, generalized breather, Kunzetsov-Ma breather and homoclinic breather are obtained. Various ansatz transformations are employed to formulate rational solutions such as periodic cross kink, periodic cross rational, M-shaped rational, M-shaped with I-kink, M-shaped with II-kink and kink cross rational solutions of Ito integro-differential equation (Ito-IDE). We will present the outcomes in the form of 3-D, 2-D and contour graphs.

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