Effect of nonlinear inhomogeneity on the creation and annihilation of magnetic soliton

We employ the modified extended tanh-function (METF) method to solve the inhomogeneous nonlinear Schrödinger (INLS) integro-differential equation with nonlocal damping. We obtain a series of exact solitary solutions which found to support creation and annihilation of solitons accompanied by the shape changing property.