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
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
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
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
Modified Zakharov–Kuznetsov equation posed on a strip
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DOI: 10.1080/00036811.2020.1754402
Abstract: An initial-boundary value problem of Saut–Temam type for the modified Zakharov–Kuznetsov equation posed on a strip is considered. Critical power in nonlinearity has been studied. The results on exi... read more here.
Keywords: kuznetsov equation; modified zakharov; equation posed; posed strip ... See more keywords
Some new solutions of the conformable extended Zakharov-Kuznetsov equation using Atangana-Baleanu conformable derivative
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DOI: 10.2298/tsci190303402b
Abstract: The generalized Riccati equation mapping method, coupled with Atangana?s conformable derivative is implemented to solve non-linear extended Zakharov-Kuznetsov equation which results in producing hyperbolic, trigonometric and the rational solutions. The obtained results are new and… read more here.
Keywords: extended zakharov; kuznetsov equation; conformable derivative; zakharov kuznetsov ... See more keywords
Models of nonlinear acoustics viewed as approximations of the Kuznetsov equation
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DOI: 10.3934/dcds.2020179
Abstract: We relate together different models of non linear acoustic in thermo-elastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear Progressive wave Equation (NPE) and estimate the time during… read more here.
Keywords: models nonlinear; kuznetsov equation; equation; nonlinear acoustics ... See more keywords