New Soliton Solutions to the Coupled Conformable Time-Fractional Boussinesq Equation

In this study‎, ‎we explore soliton solutions for the conformable time-fractional Boussinesq equation utilizing the three-wave method‎. ‎To validate the precision of our findings‎, ‎we discuss specific special cases by adjusting certain potential parameters and also present the graphical representations of our results‎. ‎The results achieved in this research align closely with those from previous studies‎, ‎demonstrating enhanced accuracy and simplicity‎. ‎Given the extensive applications of this equation in particle physics‎, ‎understanding its dynamics is crucial‎. ‎Consequently‎, ‎employing methods that encompass a broad spectrum of solutions is imperative‎. ‎The versatility of this method in yielding diverse solutions is evident in the results we have obtained‎. ‎The solutions derived in this paper are novel and offer greater precision compared to previous works‎.