Search

In this paper, we find invariant solutions and soliton solutions for the nonlinear Euler equations with respect to the unknown functions G(x,y,t) and F(x,y,t). New dimensional reduction and exact solutions for nonlinear Euler equations are obtained. By using group analysis invariant solutions are given with respect to some forms of the unknown functions G(x,y,t) and F(x,y,t). We use the modified extended tanh- function to determine the soliton wave solutions for the nonlinear Euler equations. [ABSTRACT FROM AUTHOR]