New Type Soliton Solutions to Korteweg-de Vries and Benjamin-Bona-Mahony Equations

被引：2

作者：

Liu Yu ^{[1
]}

机构：

[1] Henan Elect Power Res Inst, Zhengzhou 450052, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2010年 / 27卷 / 09期

关键词：

COMPACTON SOLUTIONS; EXPLICIT; BBM;

D O I：

10.1088/0256-307X/27/9/090201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Korteweg-de Vries equation and the Benjamin-Bona-Mahony equation, and obtain three kinds of new type soliton solutions, i.e. peakon solutions, double-peak (peaked-point and peaked-compacton) soliton solutions. A double solitary wave with blow-up points is also contained.

引用

页数：4

共 5 条

[1] Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation
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Kuru, S.
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CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 2031 - 2040
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[3] JACOBI ELLIPTIC FUNCTION EXPANSION METHOD FOR THE MODIFIED KORTEWEG-DE VRIES-ZAKHAROV-KUZNETSOV AND THE HIROTA EQUATIONS
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[4] Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations
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OPEN PHYSICS, 2018, 16 (01): : 896 - 909
[5] New solitary and optical wave structures to the Korteweg-de Vries equation with dual-power law nonlinearity
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Sulaiman, Tukur Abdulkadir
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OPTICAL AND QUANTUM ELECTRONICS, 2016, 48 (12)

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