Dust-acoustic cnoidal waves in a magnetized quantum dusty plasma

ABSTRACT

An investigation of nonlinear dust-acoustic cnoidal waves in a magnetized quantum dusty plasma consisting of inertial dust, inertialess electrons and ions is presented. The Korteweg–de Vries (KdV) equation is obtained by employing reductive perturbation technique and analytical solution of KdV equation is derived by employing the Sagdeev pseudopotential approach. Numerical analysis of the solution is performed to study the characteristics of the dust-acoustic cnoidal waves. In this study, positive (negative) potential dust-acoustic cnoidal waves are observed for the case of positive (negative) dust grains. The influence of various parameters such as quantum diffraction parameter of electrons and ions, magnetic field strength, obliqueness, concentration of ions and Fermi temperature (electrons and ions) has been studied. In the limiting case, dust-acoustic cnoidal wave solution is found to reduce to solitary wave solution.

KEYWORDS:

• Dusty plasma
• Korteweg–de Vries equation
• cnoidal waves
• reductive perturbation technique
• quantum plasma

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Papihra Sethi is grateful to University Grants Commission, New Delhi for Rajiv-Gandhi Fellowship award. This work is supported by DRS-II(SAP) No. F 530/17/DRS-II/2015(SAP-I) UGC, New Delhi.