Nonlinear dust-acoustic modes in homogeneous dusty plasmas: bifurcation analysis

Different nonlinear dynamical behavior of dust-acoustic modes of a homogeneous plasma are examined. The plasma composed of negatively charged dust grains and nonextensive distribution electrons and ions. The evolution of the system is investigated using a 3-dimensional nonlinear Schrodinger (3D-NLS) equation. Different methods are used to explore the possible solutions of 3D-NLS equation using a bifurcation analysis and factorization method to obtain periodic, shocklike and explosive waves. Furthermore, rogue wave solution of the 3D-NLS equation is obtained to investigate the dependence of rogue wave profile on nonextensivity parameters. The present investigation can be relevance to the electrostatic structures in various dusty plasmas, such as Saturn's E-ring.

Automated summary

Different nonlinear dynamical behaviors of dust-acoustic modes in a homogeneous plasma were examined using a 3D-NLS equation. Various methods, including bifurcation analysis and factorization method, were employed to explore the solutions of the equation, including periodic, shocklike, and explosive waves. Additionally, the study also investigated the rogue wave solution and its dependence on nonextensivity parameters, which can have implications for electrostatic structures in dusty plasmas like Saturn's E-ring.