Generalized Breather, Solitons, Rogue Waves, and Lumps for Superconductivity and Drift Cyclotron Waves in Plasma

Abstract

The valuable properties of nonlinear waves have been newly exploited to allow an extensive range of applications with broad applications for the explanation of superconductivity and drift cyclotron waves in radially inhomogeneous plasma for coherent ion-cyclotron waves. We study the propagation of lump waves, rogue waves, lump periodic waves, AKM breather waves, lump one strip, and generalized breather waves as well as their interactions. These nonlinear waves have so many applications in real life for example; breathers have been observed in shallow water wave systems, where they manifest as localized water wave disturbances, and rogue waves discuss the Earth’s climate system and also study complex dynamics of ocean waves. Lump waves are the localized wave structures studied in plasma, which is important for understanding energy transport, wave-particle interactions, and stability in plasma systems. The study of nonlinear waves is crucial for understanding a wide range of natural phenomena, scientific knowledge, advancing technology in various fields like communications and information processing, medical applications, quantum mechanics, plasma physics and fusion research, and astrophysics.