Kink-like excitations in a square lattice model of an antiferromagnetic spin system

Introducing the Holstein-Primakoff (H-P) bosonic representation of spin operators, the coherent state ansatz and the time dependent variational principle, the dynamics of the square lattice model of an antiferromagnetic system is studied. The dynamics is found to be directed by a set of coupled nonlinear partial differential equations. Employing the multiple exponential function method, soliton excitation in the system is studied. Multiwave kink soliton solutions and their interaction properties are analysed.