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- Title
Cauchy problem on the plane for the dispersionless Kadomtsev-Petviashvili equation.
- Authors
Manakov, S. V.; Santini, P. M.
- 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.
- Subjects
NUMERICAL solutions to the Cauchy problem; INVERSE scattering transform; PARTICLES (Nuclear physics); SCHRODINGER equation; QUANTUM theory; VECTOR fields; MATHEMATICAL physics
- Publication
JETP Letters, 2006, Vol 83, Issue 10, p462
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364006100080