Variational Iteration Method for 2D Hyperbolic Quasi-linear Pde

Abstract In this paper, we have constructed two dimensional (2D ) hyperbolic quasi-linear partial differential equations (HQLPDE) by considering two cases. The Cauchy data is given in the form of exponential curve in the 1st case. The initial value problems (IVP) are mentioned as sin x in the 2nd case where as all the cases are associated with time. We have obtained the solutions by using variational iteration method (VIM). In the both cases, we found that solution represents flat surface during the initial stage. We have observed exponential surface in the 1st case and the curved surface in the 2nd case subject to the increasing values of x and y. Mathematics subject classification: 35Lxx, 35L04