Abstract
This chapter presents the Alfvén waves self-interaction in approximately zero-β plasma (cold plasma), which is applicable to coronal heating. We consider thermal to magnetic pressure ratio β≈0 (cold plasma). When we consider magnetic field transverse perturbation in approximately zero-β plasma, the model dynamical equation of Alfvén wave self interaction turns out to be the modified Zakharov system equation. Numerical simulation has been carried out to study the effect of Alfvén wave self interaction and transverse perturbation, which results in the formation of magnetic field profile structures (coherent structures) and power spectrum for coronal heating and particle acceleration in space plasma. The investigated results reveals that the system of magnetic field profile structures reaches to quasi-steady state and the power spectral index approaches the k−5/3, which is consistent with Kolmogorov scaling.