painleve 中文意思是什麼
painleve
解釋
潘勒韋-
Chapter 4 deals with painleve integrability and backlund transformation
第四章討論了非線性微分方程的painleve可積性和backlund變換。 -
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
本文以構造性的變換及符號計算為工具，來研究非線性波和可積系統中的一些問題：精確解（如孤子解、周期解、有理解、 dromion解及compacton解等） 、 panileve可積性、 backlund變換、 darboux變換、對稱（相似約化） 、條件對稱、 lax可積族、 liouville可積的n - hamilton結構、約束流、對合系統、 lax表示、 r -矩陣、變量分離及可積的耦合系統 -
Using the painleve method of singularity analysis, two integras of motion of the reduced three - wave interaction system were found
）奇異分析法，已經找到了約化的三波相互作用系統的兩個運動積分。 -
Two types of ( 2 + l ) - dimensional generalized burgers equations are shown to pass the painleve test by using wtc method, and their backlund transformations are obtained through painleve truncating expansion. cole - hopf transformation is their special case
利用wtc方法證明了兩類（ 2 + 1 ） -維廣義burgers方程是painleve可積的，並經截斷展開原理獲得了它們的backlund變換，其中cole - hopf變換是其特例。
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