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Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation |
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| Authors: | Yao-Lin Jiang Yi Lu Cheng Chen |
| Institution: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China;2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China. Email: luyi06@gmail.com;3. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China. Email: chencheng1012@stu.xjtu.edu.cn |
| Abstract: | In this paper, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is further explored. The equation is shown to be self-adjoint and conserved vector is constructed according to the related theorem. Then the corresponding optimal system of one-dimensional subgroups is determined. Similarity reductions of the equation under optimal system of subgroups are performed. As a result, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is reduced into a linear PDE with two independent variables. |
| Keywords: | Extended quantum Zakharov-Kuznetsov equation conserved vector optimal system similarity transformation reduction |