Abstract
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.