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Type: Artigo de periódico
Title: Asymptotic Behavior for a Class of Solutions to the Critical Modified Zakharov-Kuznetsov Equation
Author: Panthee, M
Scialom, M
Abstract: We consider the initial value problem (IVP) associated to the modified Zakharov-Kuznetsov (mZK) equation u(t) + 6u(2)u(x) + u(xxx) + u(xyy) = 0, (x, y) is an element of R(2), t is an element of R, which is known to have global solution for given data in u(x, y, 0) = u(0)(x, y) is an element of H(1)(R(2)) satisfying parallel to u(0)parallel to(L2) < root 3 parallel to phi parallel to(L2), where phi is a solitary wave solution. In this work, the issue of the asymptotic behavior of the solutions of the modified Zakharov-Kuznetsov equation with negative energy is addressed. The principal tool to obtain the main result is the use of appropriate scaling argument from Angulo et al. [1, 2].
Country: EUA
Editor: Wiley-blackwell Publishing, Inc
Rights: fechado
Identifier DOI: 10.1111/j.1467-9590.2009.00469.x
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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