Asymptotic Σ-Solutions of a Singularly Perturbed Benjamin–Bona–Mahony Equation with Variable Coefficients

被引：0
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作者：
V. H. Samoilenko
Yu. I. Samoilenko
机构：
[1] T. Shevchenko Kyiv National University,
来源：
Ukrainian Mathematical Journal | 2018年 / 70卷
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摘要：
We study the problem of construction of asymptotic Σ-solutions of a singularly perturbed Benjamin–Bona–Mahony equation with variable coefficients and propose an algorithm for the construction of these solutions. We determine the main and first terms of the asymptotic solution. The theorems on the accuracy with which the indicated asymptotic solution satisfies the analyzed equation are also proved.
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页码：266 / 287
页数：21
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