A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves
作者机构：Shenzhen UniversityShenzhenChina Department of Computer Science and EngineeringEuropean University CyprusNicosiaCyprus Institute of Mathematical SciencesFaculty of ScienceUniversity of MalayaKuala Lumpur 50603Malaysia Department of Mathematics and StatisticsWashington State UniversityPullmanWA 99163USA Jabalia CampUnited Nations Relief and Works Agency(UNRWA)Palestinian Refugee CampGaza Strip JabalyaPalestine Mathematics-Computer DepartmentArt-Science FacultyEski¸s ehir Osmangazi UniversityEski¸s ehirTurkey Department of Computer EngineeringFaculty of Engineering and ArchitectureKastamonu UniversityKastamonuTurkey
出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)
年 卷 期：2024年第9卷第5期
页 面：437-453页
核心收录：
主 题：Symbolic computation Fractional differential equations Beta derivative Auxiliary equation method Solitary solutions Nonlinear equations
摘 要：A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional *** solutions were obtained using MAPLE *** technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean *** a standard equation has not been used as an auxiliary equation for this technique,different and novel solutions are obtained via this technique.
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