LAUSR

We consider fast sausage solitons and super nonlinearity in straight homogeneous magnetic tubes having coronal parameters. The solitonic behavior is described by the Nonlinear Schrödinger Equation-(NLSE) obtained from the ideal magneto hydrodynamic equations with suitable coronal conditions. For the first time we demonstrated that fast sausage waves are subjected to super nonlinearity and likewise introduced the super nonlinear function that defines this phenomenon. We have obtained classical localized sausage soliton and Peregrine sausage breather soliton solutions for coronal conditions. And finally we have carried out extensive numerical simulations of the evolution of a wave packet governed by the NLS equation with real nonlinear parameters and demonstrated the existence and domain of the above mentioned solitonic modes.