New travelling wave solutions to the Boussinesq and the Klein–Gordon equations

In this work, many new travelling wave solutions are established for the Boussinesq and the Klein–Gordon equations. The extended tanh method, the rational hyperbolic functions method, and the rational exponential functions method are used to generate these new solutions. The new solutions are bell-shaped solitons, periodic, and complex solutions. The proposed approaches are also applicable to a large variety of nonlinear evolution equations.