Wang X., Yue X.G., Kaabar M.K.A., Akbulut A., Kaplan M.2023-05-092023-05-092022-01-01https://hdl.handle.net/20.500.12597/12934A 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.trueAuxiliary equation method | Beta derivative | Fractional differential equations | Nonlinear equations | Solitary solutions | Symbolic computationArticle10.1016/j.joes.2022.03.01210.1016/j.joes.2022.03.0122-s2.0-85127356206