Citation: | WANG Heng, WANG Han-quan, CHEN Long-wei, ZHENG Shu-hua. Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems[J]. Applied Mathematics and Mechanics, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011 |
[1] |
FENG Zhao-sheng, WANG Xiao-hui. The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation[J]. Physics Letters A,2003,308(2/3): 173-178.
|
[2] |
Abbasbandy S, Shirzadi A. The first integral method for modified Benjamin-Bona-Mahony equation[J]. Communications in Nonlinear Science and Numerical Simulation,2010,15(7): 1759-1764.
|
[3] |
Wazwaz A M. The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations[J]. Chaos, Solitons & Fractals,2008,38(5): 1505-1516.
|
[4] |
CHEN Yong, WANG Qi. Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic functions solutions to (1+1)-dimensional dispersive long wave equation[J]. Chaos, Solitons & Fractals,2005,24(3): 745-757.
|
[5] |
李继彬. (2+1)-维广义Benney-Luke方程的精确行波解[J]. 应用数学和力学, 2008,29(11): 1261-1267.(LI Ji-bin. Exact traveling wave solutions for the 2D-generalized Benney-Luke equation[J]. Applied Mathematics and Mechanics,2008,29(11): 1261-1267.(in Chinese))
|
[6] |
LI Ji-bin, ZHANG Li-jun. Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation[J]. Chaos, Solitons & Fractals,2002,14(4): 581-593.
|
[7] |
LI Ji-bin, ZHANG Yi. Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation[J]. Nonlinear Analysis: Real World Applications,2009,10(4): 2502-2507.
|
[8] |
LI Ji-bin, CHEN Guan-rong. Bifurcations of travelling wave solutions for four classes of nonlinear wave equations[J]. International Journal of Bifurcation and Chaos,2005,15(12): 3973-3998.
|
[9] |
Hafez M G, Alam M N, Akbar M A. Traveling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system[J]. Journal of King Saud University—Science,2014,27(2): 105-112.
|