| 一个与Toda格相关的微分差分方程族及其反散射变换 |
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| 引用本文： | 张泽璇,张建兵.一个与Toda格相关的微分差分方程族及其反散射变换[J].数学研究及应用,2022,42(1):57-72. |
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| 作者姓名： | 张泽璇 张建兵 |
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| 作者单位： | 江苏师范大学数学与统计学院, 江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11101350; 11671177; 11771186), 江苏省研究生科研与实践创新计划(Grant No.KYCX21_2566). |
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| 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.
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| 关 键 词： | Toda lattice inverse scattering transformation soliton solution |
| 收稿时间： | 2020/11/13 0:00:00 |
| 修稿时间： | 2021/1/28 0:00:00 |
A Differential-Difference Hierarchy Related to the Toda Lattice and Its Inverse Scattering Transformation |
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| Zexuan ZHANG,Jianbing ZHANG.A Differential-Difference Hierarchy Related to the Toda Lattice and Its Inverse Scattering Transformation[J].Journal of Mathematical Research with Applications,2022,42(1):57-72. |
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| Authors: | Zexuan ZHANG Jianbing ZHANG |
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| Institution: | School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu 221116, P. R. China |
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| Abstract: | By combined power evolution laws of the spectral parameter and the initial constants of integration,a new differential-difference hierarchy is presented from th... |
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| Keywords: | Toda lattice inverse scattering transformation soliton solution |
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