Nonlinear integrable evolution equations and their solution methods.
by Yu Wai Kuen. === Thesis (Ph.D.)--Chinese University of Hong Kong, 1993. === Includes bibliographical references (leaves 71-76). === Preface --- p.1 === PART I === Chapter Chapter 1 --- Inverse Scattering Method === Chapter §1 --- Introduction --- p.5 === Chapter §2 --- Rapidly decreasing soluti...
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| Format: | Others |
| Language: | English |
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Chinese University of Hong Kong
1993
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| Online Access: | http://library.cuhk.edu.hk/record=b5887713 http://repository.lib.cuhk.edu.hk/en/item/cuhk-319155 |
| Summary: | by Yu Wai Kuen. === Thesis (Ph.D.)--Chinese University of Hong Kong, 1993. === Includes bibliographical references (leaves 71-76). === Preface --- p.1 === PART I === Chapter Chapter 1 --- Inverse Scattering Method === Chapter §1 --- Introduction --- p.5 === Chapter §2 --- Rapidly decreasing solutions of the GNLSE --- p.6 === Chapter Chapter 2 --- Modified Inverse Scattering Method === Chapter §1 --- Introduction --- p.25 === Chapter §2 --- Singular solutions of the KdV equation --- p.25 === PART II === Chapter Chapter 3 --- Backlund Transformation Method === Chapter §1 --- Introduction --- p.37 === Chapter §2 --- Solution by Backlund transformation --- p.37 === Chapter §3 --- Clairin's method for finding Backlund transformations --- p.46 === Chapter §4 --- Construction of multi-soliton solutions --- p.48 === Chapter Chapter 4 --- Dressing Method And Hirota Direct Method === Chapter §1 --- Introduction --- p.51 === Chapter §2 --- Zakharov-Shabat's dressing method --- p.52 === Chapter §3 --- Hirota direct method --- p.57 === Chapter Chapter 5 --- Group Reduction Method === Chapter §1 --- Introduction --- p.61 === Chapter §2 --- Method of group reduction --- p.61 === Bibliography --- p.71 |
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