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
收藏
页数：4
相关论文
共 50 条
  • [21] Exact traveling soliton solutions for the generalized Benjamin-Bona-Mahony equation
    Hubert, Malwe Boudoue
    Kudryashov, Nikolai A.
    Justin, Mibaile
    Abbagari, Souleymanou
    Betchewe, Gambo
    Doka, Serge Y.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (03):
  • [22] Asymptotic Attractors of Benjamin-Bona-Mahony Equations
    Zhu, Chaosheng
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2008, 1 (02): : 3 - 10
  • [23] Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
    Carillo, Sandra
    Schiebold, Cornelia
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (05)
  • [24] Soliton solutions in three linearly coupled Korteweg-de Vries equations
    Triki, H
    El Akrmi, A
    Rabia, MK
    OPTICS COMMUNICATIONS, 2002, 201 (4-6) : 447 - 455
  • [25] Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type
    Zeng, L
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 188 (01) : 1 - 32
  • [26] SOLITON SOLUTIONS AND HIGHER-ORDER KORTEWEG-DE VRIES EQUATIONS
    MORRIS, HC
    JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (03) : 530 - 532
  • [27] New periodic wave and soliton solutions for system of coupled Korteweg-de Vries equations
    Rady, A. S. Abdel
    Khater, A. H.
    Osman, E. S.
    Khalfallah, Mohammed
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) : 406 - 414
  • [28] New Exact Solutions of the Generalized Benjamin-Bona-Mahony Equation
    Ghanbari, Behzad
    Baleanu, Dumitru
    Al Qurashi, Maysaa
    SYMMETRY-BASEL, 2019, 11 (01):
  • [29] New Exact Solutions of the Modified Benjamin-Bona-Mahony Equation
    Yang, Yun-jie
    Yao, Li
    INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTER SCIENCE (AICS 2016), 2016, : 113 - 118
  • [30] Travelling wave solutions and conservation laws for the Korteweg-de Vries-Bejamin-Bona-Mahony equation
    Simbanefayi, Innocent
    Khalique, Chaudry Masood
    RESULTS IN PHYSICS, 2018, 8 : 57 - 63
12345