New Lower Bound for the Radius of Analyticity for the Modified 2D Zakharov–Kuznetsov Equation
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DOI: 10.1002/mma.10823
Abstract: We consider the initial value problem associated to the 2D modified Zakharov‐Kuznetsov equation. For a class of initial data u0$$ {u}_0 $$ that is real analytic in a strip around the x$$ x $$ axis… read more here.
Keywords: zakharov kuznetsov; kuznetsov equation; modified zakharov; analyticity ... See more keywords
Soliton solutions of the conformable fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity
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DOI: 10.1007/s11082-017-1225-y
Abstract: In this article, the Riccati sub equation method is employed to solve fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable derivative. By using this method, new exact solutions involving parameters,… read more here.
Keywords: kuznetsov equation; fractional zakharov; zakharov kuznetsov; equation dual ... See more keywords
New exact periodic elliptic wave solutions for extended quantum Zakharov–Kuznetsov equation
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DOI: 10.1007/s11082-018-1444-x
Abstract: In this paper, the exact solutions of extended quantum Zakharov–Kuznetsov (QZK) equation which arises in hydrodynamic that describe the nonlinear propagation of the quantum ion-acoustic waves have been procured. The trial equation method with the… read more here.
Keywords: quantum; solutions extended; extended quantum; zakharov kuznetsov ... See more keywords
Numerical simulation for the solitary wave of Zakharov–Kuznetsov equation based on lattice Boltzmann method
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DOI: 10.1016/j.apm.2016.12.002
Abstract: Abstract The Zakharov–Kuznetsov equation is considered, which is an equation describing two dimensional weakly nonlinear ion-acoustic waves in plasma. We focus on using the lattice Boltzmann method to study the Zakharov–Kuznetsov equation. A lattice Boltzmann… read more here.
Keywords: equation; lattice boltzmann; kuznetsov equation; zakharov kuznetsov ... See more keywords
A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach
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DOI: 10.1016/j.rinp.2020.103197
Abstract: Abstract In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct integration. Moreover, Kudryashov’s method is… read more here.
Keywords: generalized korteweg; dimensional generalized; korteweg vries; zakharov kuznetsov ... See more keywords
Construction of traveling waves patterns of (1+n)-dimensional modified Zakharov-Kuznetsov equation in plasma physics
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DOI: 10.1016/j.rinp.2020.103330
Abstract: Abstract In this research, we examine the modified model of ( 1 + n ) -dimensional Zakharov-Kuznetsov (ZK) equation, which will be used to analyze the nature of weakly nonlinear traveling waves in the existence… read more here.
Keywords: kuznetsov equation; modified zakharov; traveling waves; physics ... See more keywords
Symmetry analysis and conservation laws of a further modified 3D Zakharov-Kuznetsov equation
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DOI: 10.1016/j.rinp.2020.103401
Abstract: Abstract We study a further modified (3 + 1)-dimensional(3D) Zakharov-Kuznetsov equation. The classical Lie symmetry method will be employed to obtain solutions of a further modified 3D Zakharov-Kuznetsov equation. We will also establish the multiplier method to… read more here.
Keywords: kuznetsov equation; modified zakharov; zakharov kuznetsov; conservation laws ... See more keywords
Bifurcation analysis and novel wave patterns to Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation with truncated M-fractional derivative
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DOI: 10.1038/s41598-025-18160-1
Abstract: The Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation (ZKBBME) is a crucial mathematical model used in fractional quantum mechanics, optical fiber signal processing, ion-acoustic waves in plasma, water waves driven by gravity, turbulent flow, fluid flow waves, and for describing… read more here.
Keywords: equation; kuznetsov benjamin; bifurcation; zakharov kuznetsov ... See more keywords
Peakons and new exact solitary wave solutions of extended quantum Zakharov-Kuznetsov equation
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DOI: 10.1063/1.4989707
Abstract: In this paper, the three dimensional extended quantum Zakharov-Kuznetsov equation, which arises in the dimensionless hydrodynamic equations describing the nonlinear propagation of the quantum ion-acoustic waves, is investigated by an auxiliary equation method. As a… read more here.
Keywords: zakharov kuznetsov; extended quantum; equation; new exact ... See more keywords
Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles
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DOI: 10.1063/1.5100284
Abstract: An initial-boundary value problem for the critical generalized 2D Zakharov–Kuznetsov equation posed on rectangles is considered. The existence, uniqueness, and exponential decay rate of global regular solutions for small initial data are established. read more here.
Keywords: posed rectangles; kuznetsov equation; equation posed; zakharov kuznetsov ... See more keywords
Analytical solutions to (modified) Korteweg–de Vries–Zakharov–Kuznetsov equation and modeling ion-acoustic solitary, periodic, and breather waves in auroral magnetoplasmas
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DOI: 10.1063/5.0220798
Abstract: This article investigates the propagation of different types of nonlinear ion-acoustic waves, including periodic waves, solitons, and breathers in non-Maxwellian magnetized plasma. The plasma model consists of inertial cold ions, inertialess cold electrons that obey… read more here.
Keywords: equation; korteweg vries; zakharov kuznetsov; ion acoustic ... See more keywords