Journal
ASTROPHYSICS AND SPACE SCIENCE
Volume 349, Issue 1, Pages 317-327Publisher
SPRINGER
DOI: 10.1007/s10509-013-1659-z
Keywords
Extended quantum Zakharov-Kuznetsov equation; Symmetry groups; Exact solutions; Ansatz method
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Funding
- National Natural Science Foundation of China (NNSFC) [11171022]
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In this paper, complete geometric symmetry of extended quantum Zakharov-Kuznetsov (QZK) equation are investigated. All of the geometric vector fields for the new extended QZK equation are presented. At the same time, a plethora of exact solutions are obtained by the application of the group theorem. In addition, 1-soliton solution of the extended QZK equation with power law nonlinearity is obtained by the aid of traveling wave hypothesis with the necessary constraints in place for the existence of the soliton.
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