We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions the Yang-Baxter equation of small size. show that there are 321931 involutive size nine, 4895272 ten 422449480 non-involutive solution eight. Our method is then used biquandles.

Abstract We study the nodal set of stationary solutions to equations form $$(-\Delta )^s u = \lambda _+ (u_+)^{q-1} - _- (u_-)^{q-1}\quad \text {in }B_1,$$ ( - Δ ) s u = <mml...

‎this paper obtains the exact solutions of the wave equation as a second-order partial differential equation (pde)‎. ‎we are going to calculate polynomial and non-polynomial exact solutions by using lie point symmetry‎. ‎we demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎a generalized procedure for polynomial solution is pr...