In this paper, we investigate the new traveling wave solutions for sixth-order Boussinesq equation using tanh-coth method. Such a method is type of expansion that represents partial differential equations as polynomials $\tanh$ and $\coth$ functions. We discover several with different parameters, which are fundamental importance various applications.

Abstract: In this paper, the generalized Jacobi elliptic functions expansion method with computerized symbolic computation are employed to investigate explicitly analytic solutions of the (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances, some of these solutions are degenerated to soliton-like soluti...

We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional approximate systems. As far as we are aware, our result here is the first concerning the lattice dyn...