Symbolic Computation on Soliton Solutions for Variable-coefficient Quantum Zakharov-Kuznetsov Equation in Magnetized Dense Plasmas
-
Fadi Awawdeh
,
Safwan Al-Shara'
Abstract
The (3+1)-dimensional quantum Zakharov-Kuznetsov equations with variable coefficients have the applications to nonlinear ion-acoustic waves in dense magnetoplasmas. Via a simplified bilinear method and symbolic computation, we construct the multiple solitary wave solutions, analyze the elastic collisions with the constant and variable coefficients, and observe that solitons no longer keep rectilinear propagation and display different shapes because of the inhomogeneities of media. Then, a dense magnetoplasma consisting of electrons and singly charged ions is considered. The basic set of quantum hydrodynamic is reduced to the quantum Zakharov-Kuznetsov equation by using the reductive perturbation technique. Parametric analysis is carried out in order to illustrate that the soliton amplitude, width and velocity are affected by the quantum diffraction and obliqueness effect. Furthermore, propagation characteristics and interaction behaviors of the solitons are also discussed through the graphical analysis and the characteristic-line method.
©2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Chaos-based Color Image Encryption Using One-time Keys and Choquet Fuzzy Integral
- Maximizing Lyapunov Exponents in a Chaotic Oscillator by Applying Differential Evolution
- Modified Homotopy Perturbation Transform Method: A Paradigm for Nonlinear Boundary Layer Problems
- On Mixed Convection Stagnation Point Flow of Second Grade Fluid with Convective Boundary Condition and Thermal Radiation
- Symbolic Computation on Soliton Solutions for Variable-coefficient Quantum Zakharov-Kuznetsov Equation in Magnetized Dense Plasmas
- Investigation on Swirling Gas-particle Hydrodynamics Using an Improved Momentum Transfer Coefficient
- FEM-based Numerical Simulation of Water Flow Through a Road Shoulder Structure
- Experiment and Simulation Analysis of Multi-layer Glass/Aluminum Anodic Bonding
- Thermally Stratified Stagnation Point Flow of an Oldroyd-B Fluid
