Nonlinear wave phenomena in Jupiter’s magnetosphere: Cnoidal waves and shock-like waves

Abstract

The frequent occurrence of nonlinear wave propagation in astrophysical and laboratory settings warrants compelling exploration of dusty plasmas. We studied the propagation of waves in dusty plasmas, paying particular attention to the environments in which these plasmas occur, such as comet tails and interstellar matter. The theory of nonlinear phenomena in multicomponent plasma systems has been applied to phenomena such as shock-like waves and cnoidal waves. The strong magnetic field of Jupiter’s magnetosphere, which contains dusty plasma, can significantly affect wave propagation, and the wave structures and phase transitions can be effectively expressed using the Zakharov-Kuznetsov (ZK) equation. This equation provides a powerful tool for studying such phenomena within this environment. However, it is worth noting that although the ZK equation offers valuable insights into phase transitions during wave propagation processes across different systems, Jupiter’s magnetospheric environment may require more specialised models to reveal its unique features.

Keywords

• Polarisation force
• Cnoidal wave
• Shock-like wave
• Periodical wave
• Cairns-Gurevich ion distribution