多変数結合型KdV方程式に関する研究 Studies on coupled modified KdV equations tahensu ketsugogata keidivui hoteishiki ni kansuru kenkyu
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Bibliographic Information
- Title
-
多変数結合型KdV方程式に関する研究
- Other Title
-
Studies on coupled modified KdV equations
- Other Title
-
tahensu ketsugogata keidivui hoteishiki ni kansuru kenkyu
- Author
-
岩尾, 昌央
- Author(Another name)
-
イワオ, マサタカ
- University
-
早稲田大学
- Types of degree
-
博士 (情報科学)
- Grant ID
-
甲第1420号
- Degree year
-
2000-03-15
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲1420号 ; 学位の種類:博士(情報科学) ; 授与年月日:2000-03-15 ; 早大学位記番号:新2938 ; 理工学図書館請求番号:2473
Table of Contents
- Contents / p1 (0003.jp2)
- 1 Introduction / p4 (0006.jp2)
- 1.1 Introduction / p5 (0007.jp2)
- 1.2 History of Soliton / p6 (0008.jp2)
- 1.3 System of a Coupled Modified KdV Equations / p8 (0010.jp2)
- 1.4 The outline of Hirota's method / p9 (0011.jp2)
- 1.5 D-operator and Rational Transformation / p12 (0014.jp2)
- 1.6 The contents of the thesis / p14 (0016.jp2)
- 2 Exact Solutions to the CMKdV Equation / p15 (0017.jp2)
- 2.1 Introduction / p16 (0018.jp2)
- 2.2 Bilinear Forms / p17 (0019.jp2)
- 2.3 Exact Solutions / p18 (0020.jp2)
- 3 Pfaffian Representation of Solutions / p44 (0046.jp2)
- 3.1 Introduction of Pfaffian / p45 (0047.jp2)
- 3.2 Multisoliton Solution to the M-CMKdV Equation / p54 (0056.jp2)
- 3.3 Multisoliton Solution to the H-and S-CMKdV Equation / p68 (0070.jp2)
- 3.4 Multisoliton Solution to the D-CMKdV equation / p74 (0076.jp2)
- 4 Concluding Remarks / p86 (0088.jp2)
- 4.1 Concluding Remarks / p87 (0089.jp2)
- Bibliography / p88 (0090.jp2)
- Acknowledgements / p89 (0091.jp2)
- Paper Published by the Author / p90 (0092.jp2)
