2D solitons in Boussinesq equation with dissipation

We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in \(L^2(-\infty ,\infty )\). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.