A new reductive perturbation formalism for ion acoustic cnoidal waves

A new formalism for the derivation of cnoidal wave solution is presented by introducing a set initial conditions and subacoustic moving frame. The resulting solutions also constructed in way that ensures conservation number density. are illustrated variety graphical representations, effect amplitude's magnitude on form presented. Interestingly, it shown wavelength decreases with amplitude. In addition, small-amplitude converge to linear waves limit.