A NEW HIERARCHY OF DISCRETE INTEGRABLE MODEL AND ITS DARBOUX TRANSFORMATION

HAI-YONG DING; XI-XIANG XU; HONG-XIANG YANG; XIANG TIAN

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A NEW HIERARCHY OF DISCRETE INTEGRABLE MODEL AND ITS DARBOUX TRANSFORMATION

机译：离散积分模型的新层次及其DARBOUX变换。

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摘要

A new isospectral problem is proposed and the corresponding integrable equation hierarchy is given. A Darboux transformation (DT) is derived to obtain the exact solutions for the typical lattice soliton equations.

机译：提出了一个新的等光谱问题，并给出了相应的可积方程层次。推导了Darboux变换（DT），以获得典型晶格孤子方程的精确解。

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《Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics》 |2007年第4期|共9页
作者
HAI-YONG DING; XI-XIANG XU; HONG-XIANG YANG; XIANG TIAN;
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正文语种 eng
中图分类应用物理学;
关键词
Lattice soliton equation; discrete Hamiltonian structure; Liouville integrability;

机译：格孤子方程;离散哈密顿结构;Liouville可积性;

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专利

1. A NEW HIERARCHY OF DISCRETE INTEGRABLE MODEL AND ITS DARBOUX TRANSFORMATION [J] . HAI-YONG DING, XI-XIANG XU, HONG-XIANG YANG, Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2007,第4期

机译：离散积分模型的新层次及其DARBOUX变换。
2. Explicit solution and Darboux transformation for a new discrete integrable soliton hierarchy with 4x4 Lax pairs [J] . Yu Fajun, Feng Shuo Mathematical Methods in the Applied Sciences . 2017,第15期

机译：具有4x4 LAX对的新离散可集成孤子层次结构的显式解决方案和DARBOUX转换
3. A new discrete integrable system derived from a generalized Ablowitz-Ladik hierarchy and its Darboux transformation [J] . Wu X., Rui W., Hong X. Discrete dynamics in nature and society . 2012,第Pta1期

机译：从广义Ablowitz-Ladik层次结构及其Darboux变换派生的新离散可积系统
4. Darboux Transformation and Explicit Solutions of a Couple Lattice Equation including the Discrete Nonlinear Schroedinger Equation [C] . Wen Xiaoyong IEA 2011;International conference on information engineering and applications . 2011

机译：包含离散非线性Schroedinger方程的耦合格子方程的Darboux变换和显式解
5. PERFORMANCE EVALUATION OF HIERARCHICAL SIMULATORS: DISTRIBUTED MODEL TRANSFORMATIONS AND MAPPINGS (DISTRIBUTED SIMULATION, ANALYTIC MODELLING, DISCRETE EVENT) [D] . BAIK, DOO-KWON. 1986

机译：分层仿真器的性能评估：分布式模型转换和映射（分布式仿真，分析模型，离散事件）
6. Some novel soliton solution breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy [O] . Fajun Yu, Li Li, Shuo Feng -1

机译：广义耦合Toda孤子层次的一些新颖孤子解呼吸解和Darboux变换
7. Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation [O] . Shi, Ying, Nimmo, Jonathan, Zhao, Junxiao 2017

机译：Darboux和二元Darboux变换的离散可积系统。 II。离散势mKdV方程
8. Geometric Baecklund-Darboux Transformations for the KP Hierarchy [R] . Helminck, G. F., van de Leur, J. W. 2000

机译：Kp层次结构的几何Baecklund-Darboux变换

A NEW HIERARCHY OF DISCRETE INTEGRABLE MODEL AND ITS DARBOUX TRANSFORMATION

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