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：Xiaofeng Wang Xiao-Guang Yue Mohammed K.A.Kaabar Arzu Akbulut Melike Kaplan 

机构地区：[1]Shenzhen University,Shenzhen,China [2]Department of Computer Science and Engineering,European University Cyprus,Nicosia,Cyprus [3]Institute of Mathematical Sciences,Faculty of Science,University of Malaya,Kuala Lumpur 50603,Malaysia [4]Department of Mathematics and Statistics,Washington State University,Pullman,WA 99163,USA [5]Jabalia Camp,United Nations Relief and Works Agency(UNRWA)Palestinian Refugee Camp,Gaza Strip Jabalya,Palestine [6]Mathematics-Computer Department,Art-Science Faculty,Eski¸s ehir Osmangazi University,Eski¸s ehir,Turkey [7]Department of Computer Engineering,Faculty of Engineering and Architecture,Kastamonu University,Kastamonu,Turkey

出　　处：《Journal of Ocean Engineering and Science》2024年第5期437-453,共17页海洋工程与科学（英文）

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 derivative.Our solutions were obtained using MAPLE software.This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering.Since a standard equation has not been used as an auxiliary equation for this technique,different and novel solutions are obtained via this technique.

关 键 词：Symbolic computation Fractional differential equations Beta derivative Auxiliary equation method Solitary solutions Nonlinear equations 

分 类 号：P731.22[天文地球—海洋科学]