论文标题
具有调制pulson行为的原型和降低的非线性集成晶格系统
Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior
论文作者
论文摘要
与相关的三阶辅助线性问题相关的多组分半分化非线性集成系统被认为是基于真实动态场变量的几种降低的集成系统的原型系统。与原型系统有关的主要保护定律是在广义复发方法的框架中找到的。详细开发了应用于原型系统集成的两倍的Darboux-Bäcklund敷料技术。提出了新颖的复杂价值的非线性整合系统，在准级晶格上包含三个耦合的动力子系统，并提出了其简洁的拉格朗日和汉密尔顿表示。两个复合物值TODA样子系统之间的基本非平凡耦合被证明是由中间子系统在动力学和潜在部分中介导的。提出和分析了与还原的非线性三元系统相关的调制PULSON类型的显式多组分解决方案。
A multi-component semi-discrete nonlinear integrable system associated with the relevant third-order auxiliary linear problem is claimed to be the prototype system for several reduced integrable systems formulated in terms of true dynamical field variables. The main conservation laws related to the prototype system are found in the framework of generalized recurrent approach. The two-fold Darboux-Bäcklund dressing technique as applied to the integration of prototype system is developed in details. The novel reduced complex-valued nonlinear integrable system embracing three coupled dynamical subsystems on a quasi-one-dimensional lattice is proposed and its concise Lagrangian and Hamiltonian representations are written down. The essentially nontrivial couplings between the two complex-valued Toda-like subsystems are shown to be mediated by the intermediate subsystem both in their kinetic and potential parts. The explicit multi-component solution of a modulated pulson type related to the reduced integrable nonlinear ternary system is presented and analyzed.
