An extended modified KdV equation and its Painlevé integrability

被引：0
|
作者：
Abdul-Majid Wazwaz
Gui-qiong Xu
机构：
[1] Saint Xavier University,Department of Mathematics
[2] Shanghai University,Department of Information Management, College of Management
来源：
Nonlinear Dynamics | 2016年 / 86卷
关键词：
Fifth-order modified KdV equation; Hirota’s method; Painlevé property;
D O I：
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学科分类号：
摘要：
In this work we present an extended higher-order modified KdV equation. An analysis is carried out to show that this equation admits the Painlevé property. For this new integrable model, the one-soliton, two-soliton and three-soliton solutions are derived by using the simplified Hirota’s direct method. We also demonstrate that one, two and three singular soliton solutions are possible for the defocusing form of this extended higher-order mKdV equation.
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页码：1455 / 1460
页数：5
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