Painleve property and exact solutions of non-linear dynamic systems Painleveの特性と非線形力学系の厳密解
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Bibliographic Information
- Title
-
Painleve property and exact solutions of non-linear dynamic systems
- Other Title
-
Painleveの特性と非線形力学系の厳密解
- Author
-
Gildemar Carneiro dos, Santos
- Author(Another name)
-
ジウデマル カルネイロ ドス, サントス
- University
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名古屋大学
- Types of degree
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理学博士
- Grant ID
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甲第2428号
- Degree year
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1991-03-25
Note and Description
博士論文
Table of Contents
- Contents / p2 (0004.jp2)
- 1 Introduction / p3 (0005.jp2)
- 2 Solitons Equations and Methods of Solution / p6 (0008.jp2)
- 2.1 Solitons―A Short Review / p6 (0008.jp2)
- 2.2 The Inverse Scattering Transform / p10 (0012.jp2)
- 2.3 The Hirota Method / p16 (0018.jp2)
- 2.4 Other Methods / p22 (0024.jp2)
- 3 The Painleve Property / p27 (0029.jp2)
- 3.1 Introduction / p27 (0029.jp2)
- 3.2 The motion of a rigid body about a fixed point / p30 (0032.jp2)
- 3.3 Painleve Test / p33 (0035.jp2)
- 3.4 The WTC Algorithm / p43 (0045.jp2)
- 3.5 Further Discussions / p47 (0049.jp2)
- 4 An Exact Solution of the Non-linear Schrodinger Equation in 2 Dimensions / p50 (0052.jp2)
- 5 Expansion in Elliptic-like Functions / p62 (0064.jp2)
- 5.1 Introduction / p62 (0064.jp2)
- 5.2 The 5th Order KdV Equation / p71 (0073.jp2)
- 5.3 A Case of Displaced Even Function / p77 (0079.jp2)
- 5.4 Expansion with Varying Coefficients / p82 (0084.jp2)
- 5.5 A Dispersive and Diffusive Equation / p86 (0088.jp2)
- 6 Conclusion / p95 (0097.jp2)
- Integrability of the 2-D Non-Linear Schroedinger Equation / p2609 (0099.jp2)
- Application of Finite Expansion in Elliptic Functions to Solve Differential Equations / p4301 (0103.jp2)
- The Extended Charge in Stochastic Electrodynamics. / p51 (0109.jp2)