Connection between Zakharov-Shabat and Schroedinger type inverse scattering transforms
Technical Report
·
OSTI ID:6534514
The inverse problem for the generalized Zakharov-Shabat equation and the inverse problem for the Schroedinger equation having an energy-dependent potential were studied. By using their respective inverse scattering transforms it is shown that some nonlinear evolution equations can be solved. It is also shown that there is a one-to-one correspondence between the two inverse problems considered, as well as between the inverse scattering transforms.
- Research Organization:
- Montpellier-2 Univ., 34 (France). Dept. de Physique Mathematique
- OSTI ID:
- 6534514
- Report Number(s):
- N-78-22837; PM-77/9
- Country of Publication:
- United States
- Language:
- English
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