Bifurcations of travelling wave solutions in variant Boussinesq equations

被引：4
作者：
Yuan, YB [1 ]
Pu, DM
Li, SM
机构：
[1] Univ Elect Sci & Technol, Sch Appl Math, Chengdu 610054, Peoples R China
[2] Univ Sci & Technol Kunming, Sch Sci, Kunming 650093, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 06期
关键词：
Hamiltonian system; Boussinesq equations; bifurcation; solitary waves solutions; kink waves solutions;
D O I：
10.1007/s10483-006-0612-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bifurcations of solitary waves and kink waves for variant Boussinesq equations axe studied by using the bifurcation theory of planar dynamical systems. The bifurcation sets and the numbers of solitary waves and kink waves for the variant Boussinesq equations axe presented. Several types explicit formulas of solitary waves solutions and kink waves solutions are obtained. In the end, several formulas of periodic wave solutions are presented.
引用
收藏
页码：811 / 822
页数：12
相关论文
共 50 条
[21]   BIFURCATIONS OF TRAVELING WAVE SOLUTIONS IN THE HOMOGENEOUS CAMASSA-HOLM TYPE EQUATIONS [J].
Zhou, Yan ;
Li, Jibin .
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (01) :392-406
[22]   EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE GENERALIZED POCHHAMMER-CHREE EQUATIONS [J].
Li, Jibin ;
Chen, Guanrong .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (09)
[23]   Exact solutions of extended Boussinesq equations [J].
Hamdi, S ;
Enright, WH ;
Ouellet, Y ;
Schiesser, WE .
NUMERICAL ALGORITHMS, 2004, 37 (1-4) :165-175
[24]   Exact Solutions of Extended Boussinesq Equations [J].
S. Hamdi ;
W.H. Enright ;
Y. Ouellet ;
W.E. Schiesser .
Numerical Algorithms, 2004, 37 :165-175
[25]   STRONG SOLUTIONS FOR BOUSSINESQ EQUATIONS WITH POTENTIALS [J].
Lefter, Adriana-Ioana .
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2009, 55 (02) :295-328
[26]   On the dissipative solutions for the inviscid Boussinesq equations [J].
Cheng, Feng .
AIMS MATHEMATICS, 2020, 5 (04) :2869-2876
[27]   HOLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS [J].
Tao, Tao ;
Zhang, Liqun .
ACTA MATHEMATICA SCIENTIA, 2018, 38 (05) :1591-1616
[28]   Bifurcations and Exact Traveling Wave Solutions of Degenerate Coupled Multi-KdV Equations [J].
Li, Jibin ;
Chen, Fengjuan .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (03)
[29]   Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications [J].
Zhu, Wenjing ;
Xia, Yonghui ;
Zhang, Bei ;
Bai, Yuzhen .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (03)
[30]   Boussinesq equations for wave transformation on porous beds [J].
Cruz, EC ;
Isobe, M ;
Watanabe, A .
COASTAL ENGINEERING, 1997, 30 (1-2) :125-156
12345