Dynamics of traveling wave solutions of conformable time-fractional ISLW and DJKM equations via a new expansion method

Abstract This work searches the new wave solutions of time-fractional ion sound and Langmuir waves (ISLWs) equation and time-fractional Date-Jimbo-Kashiwara-Miwa (DJKM) equation with the conformable derivative. The (m+1/G')-expansion method is employed for these models for the first time. Getting support from a symbolic software some new solutions are presented which will be constructive for studies in the field of nonlinear physical phenomena. The regarded method may provide a framework for the exact solutions of several evolution equations in applied science. Moreover, the graphical illustrations are also demonstrated to observe the dynamical behaviours of the solutions.