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

被引：0

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

关键词：

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：266 / 287

页数：21

共 50 条

[21] Exact solutions to a generalized Benjamin-Bona-Mahony equation
Chen, Jing
Lai, Shaoyong
Qing, Yin
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
[22] On the analytical and numerical solutions of the Benjamin-Bona-Mahony equation
Yokus, Asif
Sulaiman, Tukur Abdulkadir
Bulut, Hasan
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
[23] THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION
Cui, Huiping
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2012, 43 (04): : 323 - 342
[24] The traveling wave solutions for generalized Benjamin-Bona-Mahony equation
Liu, Xiaohua
EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (03):
[25] Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
Samoilenko V.H.
Samoilenko Yu.I.
Ukrainian Mathematical Journal, 2007, 59 (1) : 126 - 139
[26] On the Solutions of the Space and Time Fractional Benjamin-Bona-Mahony Equation
Mirzazadeh, M.
Ekici, Mehmet
Sonmezoglu, A.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A3): : 819 - 836
[27] The asymptotic behavior of solutions of an initial boundary value problem for the generalized Benjamin-Bona-Mahony equation
Huiping Cui
Indian Journal of Pure and Applied Mathematics, 2012, 43 : 323 - 342
[28] Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation.
El Dika, K
COMPTES RENDUS MATHEMATIQUE, 2003, 337 (10) : 649 - 652
[29] On Exact Solutions of the Oskolkov-Benjamin-Bona-Mahony-Burgers Equation
Aristov, A. I.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (11) : 1792 - 1803
[30] The Benjamin–Bona–Mahony equation with dissipative memory
Filippo Dell’Oro
Youcef Mammeri
Vittorino Pata
Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 899 - 910

← 1 2 3 4 5 →