The work reported here is a sequel to our paper (Physica A 304 (2002) 395), wherein we have obtained the invariant solutions of the generalized one-dimensional Fokker–Planck equation via the so-called potential symmetry method. Herein, the application of the same method has been carried over...

We investigate envelope solitary waves on square lattices with two degrees of freedom and nonlinear nearest and next-nearest neighbor interactions. We consider solitary waves which are localized in the direction of their motion and periodically modulated along the perpendicular direction. In the...