Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction
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DOI: 10.1016/j.apnum.2019.07.019
Abstract: Abstract In this paper, numerical methods for the modified Zakharov system with high-order fractional Laplacian and a quantum correction (FMZS) are considered. A conservative linearly-implicit difference scheme for the FMZS is proposed. This scheme is… read more here.
Keywords: order; difference scheme; high order; modified zakharov ... 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
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