A comparative study of new traveling wave solutions for the (2+1)-dimensional fractional Wazwaz Kaur Boussinesq equation using novel modified (<i>G</i>′/<i>G</i>2)-expansion method

This study uses an innovative modified (G′/G2)-expansion method to reveal various soliton solutions to the (2+1)-dimensional Wazwaz Kaur Boussinesq problem. The suggested approach produces new traveling wave solutions by utilizing different derivatives, including conformable, M-truncated, and β-derivative, and unique solutions, including hyperbolic, rational, and trigonometric. The three forms of fractional derivatives used to construct W-type, bright-type, and dark-type soliton wave solutions are compared and contrasted in this work using two-dimensional temporal and spatial plots and three-dimensional graphs. These findings have substantial implications for the technologies currently employed in communication networks, such as optical fiber, magneto-sound, ion-acoustic, and stationary media, as well as for the study of transmission of tidal and tsunami waves.