空间分数阶KGS方程中不同孤子的数值模拟  

Numerical simulation of different solitons in space fractionKGS equations

作　　者：张利娟[1] 孙建强[1] ZHANG Lijuan;SUN Jianqiang(College of Science,Hainan University,Haikou 570228,China)

机构地区：[1]海南大学理学院,海口570228

出　　处：《华中师范大学学报（自然科学版）》2022年第5期746-751,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11961020,11561018).

摘　　要：该文给出了空间分数阶KGS方程的多辛结构,并利用傅里叶拟谱方法和二阶平均向量场方法对分数阶KGS方程的多辛结构进行离散,得到了方程新的保能量格式.利用新格式数值模拟了α和传播速度v取不同值时空间分数阶KGS方程中核子与介子的相互作用,并且分析了新格式保方程的离散能量守恒特性.The multi-symplectic structure for the KGS equations is proposed.The multi-symplectic structure of the fractional KGS equations is discretized by Fourier pseudo-pectral method and second-order mean vector field method.A new energy-preserving scheme for the equations is obtained.The new scheme is applied to numerically simulate interaction of different nucleon and meson solitons in the space fractional KGS equations with differentαvalues and propagation velocity v,and investigate the energy preserving property of the new scheme.

关 键 词：分数阶KGS方程 多辛结构 平均向量场方法 能量守恒格式 

分 类 号：O241.5[理学—计算数学]