Exact Soliton and Kink Solutions for New (3+1)-Dimensional Nonlinear Modified Equations of Wave Propagation

Abstract

We present exact solutions for new (3+1)-dimensional nonlinear equations of wave propagation and fluids. We use the tanh/sech method combined with a computer symbolic system for a reliable treatment of this work. We determine a variety of exact solutions for each equation that contains soliton, kink and periodic solutions. The constraints that guarantee the existence of soliton and kink solutions were examined and found to be related to the coefficients k, r and s of the space variables x, y, and z respectively.