Generalized Hirota method of KdV type bilinear equation
碩士 === 國立交通大學 === 應用數學系所 === 97 === F(D)f•f= 0 is an important bilinear equation into which many PDEs can be transformed. In this thesis we try to derive the generalized soliton solutions for this bilinear equation. Owing to the structure of Fredholm's determinant of generalized soliton solutio...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2009
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/73773692418784272690 |
| Summary: | 碩士 === 國立交通大學 === 應用數學系所 === 97 === F(D)f•f= 0 is an important bilinear equation into which many PDEs can be transformed. In this thesis we try to derive the generalized soliton solutions for this bilinear equation. Owing to the structure of Fredholm's determinant of generalized soliton solution we can develop a GLM integral equation whose application is wider than GLM equation produced in inverse scattering method.
|
|---|