Nonlinear dynamics and multistability of dust-acoustic waves in magnetized cometary dusty plasma

Abstract The nonlinear dynamics of dust-acoustic waves (DAWs) in a six-component magnetized cometary dusty plasma comprising cold oxygen ions, kappa-distributed hot hydrogen ions, hot solar electrons, cold cometary photoelectrons and negatively charged dust grains are theoretically investigated. Using the reductive perturbation method (RPM), a modified Korteweg–de Vries (mKdV) equation is derived to explore dust-acoustic solitary structures via Sagdeev pseudo-potential analysis. The modulation instability (MI) of DAWs is examined by transforming the mKdV into a nonlinear Schrödinger equation (NLSE), enabling the study of both bright and dark envelope solitons and various breather modes (Akhmediev, Kuznetsov-Ma and Peregrine or rogue wave). The influence of plasma parameters on the formation and evolution of these structures is systematically analyzed. A dynamical system approach to the NLSE reveals finite and supernonlinear DAWs through phase plane analysis. Additionally, the introduction of a weak external periodic force demonstrates multistability in the wave dynamics. These results provide important insights into the nonlinear excitation and stability of magnetosonic DAWs in cometary dusty plasma.