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A variety of novel closed-form soliton solutions to the family of Boussinesq-like equations with different types

Journal of Ocean Engineering and Science 2022年第6期7卷 543-554页

作者： Dipankar Kumar Gour Chandra Paul Aly R.Seadawy M.T.Darvishi Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology UniversityGopalganj 8100Bangladesh Department of Mathematics University of RajshahiRajshahi 6205Bangladesh Mathematics Department Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Mathematics Department Faculty of ScienceBeni–Suef UniversityBeni SuefEgypt Department of Mathematics Razi UniversityKermanshah 67149Iran

This paper deals with the closed-form solutions to the family of Boussinesq-like equations with the effect of spatio-temporal *** sine-Gordon expansion and the hyperbolic function approaches are efficiently applied to the family of Boussinesq-like equations to explore novel solitary,kink,anti-kink,combo,and singular-periodic wave *** attained solutions are expressed by the trigonometric and hyperbolic functions including tan,sec,cot,csc,tanh,sech,coth,csch,and of their *** addition,the mentioned two approaches are applied to the aforesaid models in the sense of Atangana conformable derivative or Beta derivative to attain new wave ***-dimensional and two-dimensional graphs of some of the obtained novel solutions satisfying the corresponding equations of interest are provided to understand the underlying mechanisms of the stated *** the bright wave solutions in terms of Atangana’s conformable derivative,the amplitudes of the bright wave gradually decrease,but the smoothness increases when the fractional parametersαandβ*** the other hand,the periodicities of periodic waves *** attained new wave solutions can motivate applied scientists for engineering their ideas to an optimal level and they can be used for the validation of numerical simulation results in the propagation of waves in shallow water and other nonlinear *** performed approaches are found to be simple and efficient enough to estimate the solutions attained in the study and can be used to solve various classes of nonlinear partial differential equations arising in mathematical physics and engineering.

关键词： Boussinesq-like equations The sine-Gordon expansion approach the hyperbolic function approach Wave solutions Atangana conformable derivative

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