约束流的英文

例句与用法

1. In this dissertation , with the aid of many types of constructive transformations and symbolic computation , some topics in nonlinear waves and integrable system are studied , including exact solutions , painleve integrability , backlund transformation , darboux transformation , symmetry ( similarity reduction ) , conditional symmetry , lax integrable hierarchy , liouville integrable n - hamilton structure , constraint flow , involutive system , lax representation , r - matrix , separation of variables and integrable couplings . chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly , the basic theories of c - d pair and c - d integrable system are presented
   本文以构造性的变换及符号计算为工具，来研究非线性波和可积系统中的一些问题：精确解(如孤子解、周期解、有理解、 dromion解及compacton解等) 、 panileve可积性、 backlund变换、 darboux变换、对称(相似约化) 、条件对称、 lax可积族、 liouville可积的n - hamilton结构、约束流、对合系统、 lax表示、 r -矩阵、变量分离及可积的耦合系统
2. ( 1 ) r - rnatrix , new involutive system and involutive solutions of bargman constraint flow of generalized dirac hierarchy are found ; ( 2 ) higher - order constraint conditions and integrabie constraint flows of guo ' s hierarchy and their lax representations and r - matrix axe given ; ( 3 ) it is shown that first constraint flow of dirac hierarchy is separability and its separation equation is presented . in chapter 8 , we propose a new implicitly loop algebra . new lax integrabie couplings of the famous tc hierarchy are obtained by using the new spectral problem in thi
   第七章讨论了高阶约束流、对合系统、 r -矩阵和变量分离性： ( 1 )给出了一个广义dirac族的bargman约束流的r -矩阵，一个新的对合系统和解的对合表示； ( 2 )给出了与guo族有关的高阶约束条件及其可积的约束流( hamilton系统) ，及其lax表示和r -矩阵； ( 3 )证明了dirac族的第一约束流的可分离性，并且给出了它的分离方大连理工大学博工学位论文程