Magnetic Solitons for Non-heisenberg Anisotropic Hamiltonians in Linear Quadrupole Excitations

We discuss system with non-isotropic non-Heisenberg Hamiltonian with nearest neighbor exchange within a mean field approximation process. We derive equations describing non-Heisenberg non-isotropic model using coherent states in real parameters and then obtain dispersion equations of spin wave of dipole and quadrupole branches for a small linear excitations from the ground state. Finally, the soliton solution for quadrupole branches for these linear equations is obtained.