ABSTRACT
This chapter investigates the analytical and numerical solutions of the Atangana conformable fractional (2+1)-dimensional generalized Nizhnik-Novikov-Veselov (GNNV) equations. This system is considered as the isotropic extension of the well-known (1+1)-dimensional KdV equation. Applying four recent analytical schemes for constructing abundant explicit wave solutions of the suggested model allows the employment of the B-spline collection schemes (septic, quantic, cubic) to evaluate the numerical solutions and also to check the accuracy of our obtained solutions via calculating the absolute value of error between exact and numerical solutions. Moreover, the Hamiltonian system properties are used to check the stability of the obtained solutions and to investigate their appropriateness in the model's applications.
