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 existence, uniqueness and asymptotic behavior of solutions are presented.

中文翻译：

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修正的 Zakharov-Kuznetsov 方程

摘要

考虑了带上修正的 Zakharov-Kuznetsov 方程的 Saut-Temam 型初边值问题。已经研究了非线性中的临界功率。给出了解的存在性、唯一性和渐近行为的结果。