New Classes of Toda Soliton Solutions
β Scribed by F. Gesztesy; W. Renger
- Book ID
- 105904149
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 285 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
## Abstract We investigate soliton solutions of the Toda hierarchy on a quasiβperiodic finiteβgap background by means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton on a quasiβperiodic finiteβgap background. Furth
We construct solutions of the Kadomtsev-Petviashvili equation and its counterpart, the modified Kadomtsev-Petviashvili equation, with an infinite number of solitons by a careful armination of the limits of N -soliton solutions as N --t OQ. We give sufficient conditions to ensure that these limits ex
The N-soliton solutions of the Korteweg-deVries (KdV) and Boussinesq equations with a source are obtained explicitly by using the bilinear transformation method. Also, the interactions of two-soliton solutions are studied, and the explicit forms for the one-and two-soliton solutions are obtained for