Exact Solutions of the Generalized Equal Width Wave Equation

Abstract. The equal width wave (EW) equation is a model partial differential equation for the simulation of one-dimensional wave propagation in nonlinear media with dispersion processes. The EW-Burgers equation models the propagation of nonlinear and dispersive waves with certain dissipative effects. In this work, we derive exact solitary wave solutions for the general form of the EW equation and the generalized EW-Burgers equation with nonlinear terms of any order. We also derive analytical expressions of three invariants of motion for solitary wave solutions of the generalized EW equation.

• Type: Conference
• Year: 2003
• Where: ICCSA
• Authors: Samir Hamdi, Wayne H. Enright, William E. Schiesser, J. J. Gottlieb
• Keywords: Applied Computing, EW Equation, EW-Burgers Equation, ICCSA 2003, Solitary Wave Solutions