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Abundant analytical optical soliton solutions to the integrable (3+1)-Boussinesq equations

Ocean Engineering Journal • 2022
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Publication Information
Authors Emad H.M. Zahran, Bekir, A., Maha S.M. Shehata
Keywords The (3 + 1)-BE The EDAM The ( G G ) -expansion method The ESEM The travelling wave solutions
Journal Ocean Engineering Journal
Publisher Not Available
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publication.type International
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Supplementary Materials Not Available
Abstract
In our current work, we will extract abundant analytical optical soliton solutions to the (3 + 1)-Boussinesq equation ((3 + 1)-BE) by using three different techniques that are implemented for the first time to this model. The suggested model is the developed one that governs the coastal and ocean engineering waves that involve the nonlinearities and the dispersion terms as the tsunami waves and other versions of solid mechanics waves. The three suggested techniques that will be choosed to extract these unexpected abundant analytical optical soliton solutions to the (3 + 1)-Boussinesq equation are the extended direct al- gebraic method (EDAM), the ( G  G ) -expansion method and the extended simple equation method (ESEM) which are implemented in arranged sequence and with the same vein. Moreover, the novelty of our ob- tained solutions clear when the comparison is implemented not only between our new extracted abun- dant analytical optical soliton solutions that are demonstrated by these three methods but also with that established previously by other authors who used other various methods.