Stochastic Bifurcations of Group-Invariant Solutions for a Generalized Stochastic Zakharov–Kuznetsov Equation
2021 ◽
Vol 31
(03)
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pp. 2150040
Keyword(s):
In this paper, we introduce the concept of stochastic bifurcations of group-invariant solutions for stochastic nonlinear wave equations. The essence of this concept is to display bifurcation phenomena by investigating stochastic P-bifurcation and stochastic D-bifurcation of stochastic ordinary differential equations derived by Lie symmetry reductions of stochastic nonlinear wave equations. Stochastic bifurcations of group-invariant solutions can be considered as an indirect display of bifurcation phenomena of stochastic nonlinear wave equations. As a constructive example, we study stochastic bifurcations of group-invariant solutions for a generalized stochastic Zakharov–Kuznetsov equation.
2014 ◽
Vol 69
(8-9)
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pp. 489-496
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2004 ◽
Vol 9
(1)
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pp. 93-104
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2012 ◽
Vol 67
(10-11)
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pp. 613-620
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Keyword(s):
2020 ◽
Vol 43
(15)
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pp. 8823-8840
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2011 ◽
Vol 44
(8)
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pp. 085204
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