skip to main content

Solitary and cnoidal solution of ZK equation in a multicomponent magnetized dusty plasma with Fermi-Dirac electrons and positrons



The nature of nonlinear ion acoustic waves in multicomponent magnetized dusty plasma have been investigated
theoretically. Species of modeled plasma include negative dust particle, ions, electrons and positrons. Both
electrons and positrons obey Fermi-Dirac distribution function. Employing reduction perturbation method, the
fluid equations was solved to achieve ZK equation. Solitary and cnoidal solution of ZK equation were considered
due to number of roots of Sagdeev equation. Results show that both solitonic and cnoidal solutions of ZK
equation are under the influence of considered quantumic effect of the modeled plasma. Amplitude of both
generated modes in plasma medium varies noticeably with variation of quantum Bohm potential term.

Graphical Abstract