Analytical Solitonic Solutions of Higher-Order Non-Linear Ito Equation

Search for the analytic solutions of nonlinear PDEs has become very famous to analyze the waves motion on shallow water surfaces. In this paper, a reliable analytical technique is used to construct some numerus types of solitons solutions for the Ito equation that models the waves propagation on water tops. The constructed solutions are in the shape of bright, periodic, singular, and combo dark-bright solitons. These results help us to know the energetic performance of various physical structures. Also, these results are definite, unique, precise and may be helpful for enlightening particular non-linear physical phenomena in non-linear dynamical systems. Physical regenerations for some of the learnt solutions are presented. The applied technique is efficient and suitable to conduct the solution procedure for current model that looks in various physical occurrences. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.