Exact Meromorphic Stationary Solutions of the Cubic-Quintic Swift-Hohenberg Equation  

作　　者：Cheng-Fa Wu 

机构地区：[1]Department of Mathematics, The University of Hong Kong

出　　处：《Analysis in Theory and Applications》2014年第1期108-119,共12页分析理论与应用（英文刊）

基　　金：partially supported by a graduate studentship of HKU and RGC grant HKU 703807P

摘　　要：In this paper, we study an ODE of the form b0u（4）＋b1u′′＋b2u＋b3u3＋b4u5=0, ′= d/dz＇ , which includes, as a special case, the stationary case of the cubic-quintic Swift-Hohenberg equation. Based on Nevanlinna theory and Painleve analysis, we first show that all its meromorphic solutions are elliptic or degenerate elliptic. Then we obtain them all explicitly by the method introduced in [7].In this paper, we study an ODE of the form b0u（4）＋b1u′′＋b2u＋b3u3＋b4u5=0, ′= d/dz＇ , which includes, as a special case, the stationary case of the cubic-quintic Swift-Hohenberg equation. Based on Nevanlinna theory and Painleve analysis, we first show that all its meromorphic solutions are elliptic or degenerate elliptic. Then we obtain them all explicitly by the method introduced in [7].

关 键 词：Meromorphic solutions Cubic-Quintic Swift-Hohenberg equation Nevanlinna theory. 

分 类 号：O174.52[理学—数学] O175[理学—基础数学]