“…Geotail observations, ISEE and Viking satellites refined that numerous possible electrostatic nonlinearly structures such as solitons, rational, explosive, rational soliton, shocklikes, and periodical propagating waves can exist in magnetospheres, Earth's foreshock and bow shocks, Ionospheres, auroral zone and magnetotail regions [42][43][44][45][46][47][48][49][50][51][52]. Many investigations aim to obtain solutions for nonlinear equations that describe these physical models as Jacobi elliptic double periodical waves, fractional shocks and rogue broadband electrostatic fields noise [9,16,[50][51][52][53]. So, in this work, our aim is applying mathematical method that can give different types of rational solitons and shocks that used in confirmation of various electrostatic noise regions in ionosphere.…”