Abstract:In this paper, we consider the derivation of the Kadomtsev–Petviashvili (KP) equation for cold ion‐acoustic wave in the long wavelength limit of a two‐dimensional reduced quantum Euler–Poisson system under different scalings for varying directions in the Gardner–Morikawa transform. It is shown that the types of the KP equation depend on the scaled quantum parameter . The KP‐I is derived for , KP‐II for , and the dispersiveless KP (dKP) equation for the critical case . The rigorous proof for these limits is giv… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.