Extra nonlinear structures and singularity in magnetized plasma

A novel structure that has been unearthed in recent time is Super Solitary Waves (SSWs). They are extra nonlinear solitary wave pulses with an extra wiggles in their bipolar electric field profile. The theoretical works so far on SSWs are confined to low frequency waves in an unmagnetized plasma. We have extended it to high frequency waves in a magnetized plasma. They occurred in the vicinity of ‘singularity’ in Sagdeev pseudopotential profile. Such singularities are characteristics of a magnetized plasma. In spite of its spiky profile, it was considered as a physical solution due to its finite and physical potential. We presume that there is some association between singularity and SSW solution, as the latter terminates with a singularity. During investigation, we have obtained another novel structure, which shows the signatures of SSW and a Double Layer. We prefer to call this structure as “Folded Double Layer (FDL)”. Here we intend to explore the role of singularity in a magnetized plasma vis a ̀ vis structures like SSW or FDL. Our model comprising of four component magnetized plasma governed by electron dynamics. Incorporating a new analytical tool, we investigate these cusp like solitary waves. We intend to apply our analyses to interpret the observations in magnetosphere.