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Cauchy problem on the plane for the dispersionless Kadomtsev-Petviashvili equation.
- Source :
-
JETP Letters . 9/1/2006, Vol. 83 Issue 10, p462-466. 5p. - Publication Year :
- 2006
-
Abstract
- We construct the formal solution to the Cauchy problem for the dispersionless Kadomtsev-Petviashvili equation as an application of the inverse scattering transform for the vector field corresponding to a Newtonian particle in a time-dependent potential. This is in full analogy with the Cauchy problem for the Kadomtsev-Petviashvili equation, associated with the inverse scattering transform of the time-dependent Schrödinger operator for a quantum particle in a time-dependent potential. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00213640
- Volume :
- 83
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- JETP Letters
- Publication Type :
- Academic Journal
- Accession number :
- 23262100
- Full Text :
- https://doi.org/10.1134/S0021364006100080