Soliton solutions of the KdV equation with higher-order corrections

被引：3
|
作者：
Wazwaz, Abdul-Majid [1 ]
机构：
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
PHYSICA SCRIPTA | 2010年 / 82卷 / 04期
关键词：
1-SOLITON SOLUTION;
D O I：
10.1088/0031-8949/82/04/045005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, the Korteweg-de Vries (KdV) equation with higher-order corrections is examined. We studied the KdV equation with first-order correction and that with second-order correction that include the terms of the fifth-order Lax, Sawada-Kotera and Caudrey-Dodd-Gibbon equations. The simplified form of the bilinear method was used to show the integrability of the first-order models and therefore to obtain multiple soliton solutions for each one. The obstacles to integrability of some of the models with second-order corrections are examined as well.
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页数：6
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