Nonvariational isingbloch transition in parametrically driven systems

Transition from motionless to moving domain walls connecting two uniform oscillatory equivalent states in both a magnetic wire forced with a transversal oscillating magnetic field and a parametrically driven damped pendula chain are studied. These domain walls are not contained in the conventional approach to these systems parametrically driven damped nonlinear Schrödinger equation. By adding in this model higher order terms, we are able to explain these solutions and the transition between resting and moving walls. Based on amended amplitude equation, we deduced a set of ordinary differential equations which describes the nonvariational IsingBloch transition in unified manner.