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Analytical solutions of simplified modified Camassa-Holm equation with conformable and m-truncated derivatives:A comparative study

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Journal of Ocean Engineering and Science 2024年第3期9卷 240-250页

作者： Ismail Onder melih Cinar Aydin Secer mustafa Bayram Department of mathematical Engineering Yildiz Technical UniversityIstanbulTurkey Graduate School of Natural and Aplied Sciences Yildiz Technical UniversityIstanbulTurkey Department of Computer Engineering Biruni UniversityIstanbulTurkey

This paper extracts some analytical solutions of simplified modified Camassa-Holm(SmCH)equations with various derivative operators,namely conformable and m-truncated derivatives that have been recently *** SmCH equation is used to model the unidirectional propagation of shallowwater *** extended rational sine−cosine and sinh−cosh techniques have been successfully implemented to the considered equations and some kinds of the solitons such as kink and singular have been *** have checked that all obtained solutions satisfy the main equations by using a computer algebraic ***,some 2D and 3D graphical illustrations of the obtained solutions have been *** effect of the parameters in the solutions on the wave propagation has been examined and all figures have been *** derived solutions may contribute to comprehending wave propagation in shallow ***,the solutions might help further studies in the development of autonomous ships/underwater vehicles and coastal zone management,which are critical topics in the ocean and coastal engineering.

关键词： modified Camassa-Holm equation Conformable derivative m-truncated derivative Extended rational sine−cosine technique Extended rational sinh−cosh technique Exact solutions

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