In this paper we give a meaning to the nonlinear characteristic Cauchy problem for the Wave Equation in base form by replacing it by a family of non-characteristic ones. This leads to a well formulated problem in an appropriate algebra of generalized functions. We prove existence of a solution...

In this paper, a new lattice Boltzmann model for the coupled nonlinear system of viscous Burgers’ equation is proposed by using the double evolutionary equations. Through selecting equilibrium distribution functions and amending functions properly, the governing evolution system can be...