New acoustic wave behaviors to the Davey-Stewartson equation with power-law nonlinearity arising in fluid dynamics

This manuscript investigates the new acoustic wave behaviors of the Davey-Stewartson equation with power-law nonlinearity with the help of sine-Gordon expansion method. This technique yields many new acoustic wave behaviors such as hyperbolic, exponential and complex function structures to the problem considered. Wolfram Mathematica 9 has been used throughout the paper for mathematical calculations along with obtaining two-and three-dimensional surfaces of results.