Singularity analysis and Hirota's bilinear method for nonlinear discrete systems 非線形離散システムの特異点解析と広田の方法
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著者
書誌事項
- タイトル
-
Singularity analysis and Hirota's bilinear method for nonlinear discrete systems
- タイトル別名
-
非線形離散システムの特異点解析と広田の方法
- 著者名
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丸野, 健一
- 著者別名
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マルノ, ケンイチ
- 学位授与大学
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九州大学
- 取得学位
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博士(理学)
- 学位授与番号
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甲第4858号
- 学位授与年月日
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1999-03-25
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 1 Introduction / p4 (0006.jp2)
- 1.1 Discovery of Solitary Wave / p4 (0006.jp2)
- 1.2 Introduction to Hirota's Bilinear Method / p12 (0014.jp2)
- 1.3 Discrete Soliton Equations / p15 (0017.jp2)
- 1.4 Outline of Thesis / p19 (0021.jp2)
- 2 Singularity Confinement and Bilinear Form / p21 (0023.jp2)
- 2.1 Painlevé Property / p21 (0023.jp2)
- 2.2 Painlevé ODE Test / p26 (0028.jp2)
- 2.3 Painlev'e PDE Test / p32 (0034.jp2)
- 2.4 What is Singularity Confinement? / p36 (0038.jp2)
- 2.5 Bilinearization of Discrete Soliton Equation / p38 (0040.jp2)
- 2.6 Discrete KdV Equation / p39 (0041.jp2)
- 2.7 Discrete Toda Equation / p40 (0042.jp2)
- 2.8 Discrete Hungry Lotka-Volterra Equation / p41 (0043.jp2)
- 2.9 Discrete Potential mKdV Equation / p42 (0044.jp2)
- 2.10 Discrete mKdV Equation / p44 (0046.jp2)
- 2.11 N-soliton Solution of the discrete potential mKdV Equation / p46 (0048.jp2)
- 2.12 Algebraic Solution of the Potential mKdV Equation / p50 (0052.jp2)
- 2.13 Suris Lattice Related to Toda Lattice / p53 (0055.jp2)
- 2.14 Discrete-time Bruschi-Ragnisco Lattice / p56 (0058.jp2)
- 3 Relativistic Toda Equation / p59 (0061.jp2)
- 3.1 Introduction / p59 (0061.jp2)
- 3.2 Bilinearization of dRTL by Singularity Confinement / p61 (0063.jp2)
- 3.3 Soliton Solution / p63 (0065.jp2)
- 4 Relativistic Lotka-Volterra Equation / p79 (0081.jp2)
- 4.1 Bilinearization of dRLV by Singularity Confinement / p80 (0082.jp2)
- 4.2 Soliton Solution / p82 (0084.jp2)
- 4.3 From dRLV Equation to RLV Equation / p89 (0091.jp2)
- 5 Bilinearization of Differential-Difference Equation / p90 (0092.jp2)
- 6 Concluding Remark / p96 (0098.jp2)