Well-Posedness for the Generalized Zakharov–Kuznetsov Equation on Modulation Spaces
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DOI: 10.1007/s00041-016-9480-z
Abstract: We consider the Cauchy problem for the generalized Zakharov–Kuznetzov equation $$\partial _t u + \partial _x \Delta u = \partial _x ( u^{m+1} )$$∂tu+∂xΔu=∂x(um+1) on two or three space dimensions. We mainly study the two… read more here.
Keywords: modulation; generalized zakharov; well posedness; posedness generalized ... See more keywords
Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system
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DOI: 10.1007/s13324-017-0200-x
Abstract: In this paper Lie symmetry analysis method is applied to study nonlinear generalized Zakharov system which is the coupled nonlinear system of Schrödinger equations. With the aid of Lie point symmetry, nonlinear generalized Zakharov system… read more here.
Keywords: nonlinear generalized; system; zakharov system; symmetry ... See more keywords