Susan H. MOHAMMAD, Merna A. SAMARCHI, Ekhlass S. AL-RAWI
SOLVING (2+1) RIEMANN WAVE EQUATION VIA FIRST INTEGRAL METHOD
This research sought to find an approximate solution to the partial differential equations (PDEs) by relying on a method based on the commutative algebra theory, and this method is (the first integral method FIM). At first, the order of the partial differential equation was reduced to an ordinary differential equation through traveling wave transformations, then it was solved using the first soft steps of integration, as it produced the approximate solutions to the problem. This method is characterized by being brief, direct and effective when finding the approximate solution to PDEs
Keywords: First integral method, Riemann wave equation, Traveling wave transformations