Exact Solution, Symmetry Group and Conservation laws for Some (2+1)-dimensional Nonlinear Physical Models

In this paper, the Bernoulli sub-equation function method is used to construct new exact travelling wave solutions of two important physical models, (2+1)-dimensional hyperbolic non-linear Schrödinger (HNLS) equation and (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC) equation. These solutions helpful to see the behavior of the physical phenomena of these models and they are expressible in exponential functions and tanh functions. The infinitesimal generators and the symmetry group have been investigated using the Lie symmetry method. In addition, by using multiplier approaches, the conservation laws are constructed for these models. Graphical simulation of some solutions in the form of two-dimensional and three-dimensional are plotted. PACS numbers: 02.30.Jr, 04.20.Jb, 05.45.Yv.