臺灣博碩士論文加值系統

研讀了E.Infeld於1999年10月在Physical Review B[4]所發表的AbriKosov磁通晶格在二維空間中形狀保持之孤子解後，對孤子解有很大的興趣。
本論文將複習孤子解及二維空間之孤子解，以期學到有關孤子解及二類磁通晶格的一些性質，本論文第一章將定義孤子波及孤子，第二章將複習E.Infeld的論文，第三章則是結論。

Abstract: In 1999, E. Infeld obtained shape-preserving two-dimensional solitons in an Abrikosov vortes lattice (E.Infeld, 1999). The results provoked me to study this in more detail. Therefore, the purpose of this thesis reviewed soliton solutions and two-dimensional solitons, and examined the characters of the soliton solution and type-Ⅱ superconductors vortex lattice. The chapter one of this thesis defines soliton waves and solitons, the chapter two reviews E.Infeld’s paper, and the chapter three presents the conclusion.

目　錄
第一章、 孤子波與孤子解……………….…….1
1.1孤子波的定義 ……………………………….………..1
1.2孤子的定義 ………………………………….………..2
第二章、 E.Infeld的磁通晶格孤子解 ……….3
第三章、 結論 ………………………..………13
參考文獻 ……………………………….………18

參考文獻
[1] E.Infeld and G.Rowlands,Nonlinear Waves,Solitons and Chaos.（Cambridge University Press,Cambridge,England,1992）
[2] M.W.Coffey,Phys.Rev.B 53,63(1996);54,1279(1996)
[3] R.Rajaraman,Solitons and Instantons:An Introduction to Solitons and Instantons in Quantum Field Theory.(North-Holland Publishing Company,1982)
[4] E.Inf