摘要
该文先将分数阶Klein-Gordon-Schrodinger方程转化成辛结构的哈密尔顿系统,利用傅里叶拟谱方法对Riesz空间分数阶导数进行近似离散,得到分数阶Klein-Gordon-Schrodinger方程有限维哈密尔顿系统;再利用2阶平均向量场方法对有限维哈密尔顿系统离散,得到分数阶Klein-Gordon-Schrodinger方程新的保能量格式;最后利用新的保能量格式数值模拟方程孤立波的演化行为,并分析新格式的保能量守恒特性.
The fractional Klein-Gordon-Schrodinger equation are transformed into the Hamiltonian system with the symplectic structure.The Riesz space-fractional derivation is discretized approximately by the Fourier pseudo-pectral method.The finite dimensional Hamiltonian system of the fractional Klein-Gordon-Schrodinger equation is obtained.The second order average vector field method is applied to solve the finite dimensional Hamiltonian system.The new energy preserving scheme of the fractional Klein-Gordon-Schrodinger equation is obtained.The new scheme is applied to numerically simulate the solitary evolution behaviors of the equation, moreover the energy conservation property of the new scheme is investigated.
作者
张利娟
孙建强
ZHANG Lijuan;SUN Jianqiang(College of Science,Hainan University,Haikou Hainan 570228,China)
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2022年第3期257-261,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11961020)资助项目。