Exact travelling wave solutions of nonlinear evolution equations in image and image dimensions Original Research Article

Based upon the symbolic computation system Maple, the projective Riccati equation method is improved to seek for travelling wave solutions in (1+1)(1+1) and (2+1)(2+1)-dimensional nonlinear evolution equations by introducing two new elementary bell-shaped and kink-shaped functions. The validity and reliability of the method is tested by applying it to the (2+1)(2+1)-dimensional generalized of the shallow water wave equation, potential KdV equation and Burgers–KdV equation.