典型文献
A Differential-Difference Hierarchy Related to the Toda Lattice and Its Inverse Scattering Transformation
文献摘要:
By combined power evolution laws of the spectral parameter and the initial constants of integration,a new differential-difference hierarchy is presented from the Toda spectral problem.The hierarchy contains the classic Toda lattice equation,the nonisospectral Toda lattice equation and the mixed Toda lattice equation as reduced cases.The evolution of the scattering data in the inverse scattering transform is analyzed in detail and exact soliton solutions are computed through the corresponding inverse scattering transform.
文献关键词:
中图分类号:
作者姓名:
Zexuan ZHANG;Jianbing ZHANG
作者机构:
School of Mathematics and Statistics,Jiangsu Normal University,Jiangsu 221116,P.R.China
文献出处:
引用格式:
[1]Zexuan ZHANG;Jianbing ZHANG-.A Differential-Difference Hierarchy Related to the Toda Lattice and Its Inverse Scattering Transformation)[J].数学研究及应用,2022(01):57-72
A类:
nonisospectral
B类:
Differential,Difference,Hierarchy,Related,Toda,Lattice,Its,Inverse,Scattering,Transformation,By,combined,power,evolution,laws,parameter,initial,constants,integration,new,differential,difference,hierarchy,presented,from,problem,contains,classic,lattice,equation,mixed,reduced,cases,scattering,data,inverse,transform,analyzed,detail,exact,soliton,solutions,are,computed,through,corresponding
AB值:
0.582243
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