A small time solutions for the Korteweg-de Vries equation

被引：27

作者：

Kutluay, S ^{[1
]}

Bahadir, AR ^{[1
]}

Özdes, A ^{[1
]}

机构：

[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44100 Malatya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 107卷 / 2-3期

关键词：

Korteweg-de Vries equation; soliton; heat-balance integral;

D O I：

10.1016/S0096-3003(98)10119-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a heat balance integral (HBI) method is applied to the one-dimensional non-linear Korteweg-deVries (KdV) equation prescribed by appropriate homogenous boundary conditions and a set of initial conditions to obtain its approximate analytical solutions at small times. It is shown that the HBI solutions obtained by the method may be used effectively at small times when the exact solution of the KdV equation is not known. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：203 / 210

页数：8

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