Volume 137, Number 1, January 2022
|Number of page(s)||4|
|Published online||05 April 2022|
Study on the periodic solution of the (3 + 1)-dimensional extended quantum Zakharov-Kuznetsov equation in plasma physics
School of Physics and Electronic Information Engineering, Henan Polytechnic University - Jiaozuo, 454003, China
Received: 10 April 2021
Accepted: 4 August 2021
In the current work, we consider the (3 + 1)-dimensional extended quantum Zakharov-Kuznetsov (Z-K) equation which is used widely to explain the propagations of the waves arising in plasma physics. The variational theory together with the Hamiltonian method are employed to construct the periodic solution of the equation. As expected, the obtained solution agrees well with the solution by He's variational method, which strongly proves the correctness of the proposed method. Finally, we illustrate the solutions through one example in the form of 3-D and 2-D plots. The obtained results show that the method is simple but effective, which is expected to shed a bright light on the study of the nonlinear partial differential equations arising in physics.
© 2022 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.