MULTIPLE KINK-SOLITON, BREATHER WAVE, INTERACTION WAVE, AND THE TRAVELING WAVE SOLUTIONS TO THE FRACTIONAL (2+1)-DIMENSIONAL BOITI–LEON–MANNA–PEMPINELLI EQUATION

In recent years, fractional calculus has been a hot research topic and has received increasing attention. In this work, the fractional [Formula: see text]-dimensional Boiti–Leon–Manna–Pempinelli equation with the conformable fractional derivative is explored, and the abundant exact wave solutions are developed. Upon the bilinear form extracted through the Cole–Hopf transformation, the one-, two-, and three-kink soliton solutions are obtained. Based on the two-kink soliton solutions, the breather wave solution is derived by taking the conjugate condition. Moreover, the interaction wave solution of the cos–cosh type is also probed. In the end, the traveling wave solutions are probed via the Bernoulli sub-equation function method. Aided by Maple, the outlines of the extracted exact wave solutions are displayed graphically.