Abstract

We consider the initial value problem (IVP) associated to the modified Zakharov–Kuznetsov (mZK) equation which is known to have global solution for given data in satisfying , where φ 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].

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