Resumen de Traveling Wave Solution of Bad and Good Modified Boussinesq Equations with Conformable Fractional-Order Derivative

N Gbo N Gbo, Yonghui Xia

• In this paper we investigate the fractional order derivative Bad and Good modified equations via the bifurcation theory of dynamical systems method. To convert the fractional order derivative equations into ODEs, we utilize the transformation u(x, t) = φ(ξ ), ξ = x − ctα, instead of the commonly use ξ = x − c tα α . Bright and dark solitons, kink and anti-kink solutions, as well as periodic wave solutions are obtained. We show that the wavelength and amplitude of the traveling wave solutions depend on the fractional-order α