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Multi-soliton solutions for integrable (\(3+1\))-dimensional modified seventh-order Ito and seventh-order Ito equations

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Abstract

This work is dedicated to a (\(3+1\))-dimensional modified Ito equation of seventh order. The standard integrable (\(3+1\))-dimensional Ito equation of seventh order is established as well. Painlevé analysis is used to test the complete integrability of the extended models. Three branches of resonance points are derived for each model. Multi-soliton solutions, multi-singular soliton solutions, and variety of other solutions are successfully prevailed by execution of simplified Hirota’s method and distinct ansatz techniques.

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  1. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

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Wazwaz, AM. Multi-soliton solutions for integrable (\(3+1\))-dimensional modified seventh-order Ito and seventh-order Ito equations. Nonlinear Dyn 110, 3713–3720 (2022). https://doi.org/10.1007/s11071-022-07818-4

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