Journal
INDIAN JOURNAL OF PHYSICS
Volume 87, Issue 5, Pages 455-463Publisher
INDIAN ASSOC CULTIVATION SCIENCE
DOI: 10.1007/s12648-013-0248-x
Keywords
Extended F-expansion (EFE) method; Nonlinear partial differential equations; Nonlinear physical phenomena; Quantum Zakharov-Kuznetsov equation; Quantum plasmas
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In this paper, the soliton solutions to the quantum Zakharov-Kuznetsov equation in quantum dusty plasmas have been investigated. A few integration tools have been applied to extract the soliton solutions to the governing equation. The topological, non-topological, singular soliton and complexiton solutions are obtained. Additionally, the periodic and singular periodic solutions are listed. Finally, the ansatz method has been employed to retrieve a singular 1-soliton solution to the equation for power law nonlinearity. In this case, a constraint condition naturally falls out and it serves as a pre-conditioning criteria for singular soliton to exist.
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