摘要
通过分数阶复杂变换将(2+1)维时空分数阶Nizhnik-Novikov-Veslov方程组转化为一个常微分方程;再利用动力系统分支方法得到系统的Hamilton量和分支相图;并根据相图轨道构建出该方程的孤立波解、爆破波解、周期波解、周期爆破波解;最后讨论了这些解之间的联系.
The （2＋1）-dimensional space-time fractional-order Nizhnik-Novikov-Veslov equa- tions were transformed into ordinary differential equations through the fractional complex transform, then the Hamiltonian and the bifurcation phase portraits for the corresponding plane system to the equations were got with the bifurcation method for dynamical systems. According to the tracks in the phase portraits, solitary wave solutions, blow-up wave solutions, periodic wave solutions and periodic blow-up wave solutions to the equations were obtained. Relations between the traveling wave solutions were also discussed.
作者
江林
孙峪怀
张雪
洪韵
JIANG Lin;SUN Yuhuai;ZHANG Xue;HONG Yun(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 510068,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2018年第11期1313-1322,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11371267)~~
