For authors
Submission status

Archive (English)
   Volumes 61-80
   Volumes 41-60
   Volumes 21-40
   Volumes 1-20
   Volumes 81-92
      Volume 92
      Volume 91
      Volume 90
      Volume 89
      Volume 88
      Volume 87
      Volume 86
      Volume 85
      Volume 84
      Volume 83
      Volume 82
      Volume 81
VOLUME 83 | ISSUE 10 | PAGE 534
The Cauchy Problem on the Plane for the Dispersionless Kadomtsev - Petviashvili Equation
S. V. Manakov+, P. M. Santini* 1)
+Landau Institute for Theoretical Physics RAS, 117334 Moscow, Russia
*Dipartimento di Fisica, Università di Roma «La Sapienza" and Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1 Piazz.le Aldo Moro 2, I-00185 Roma, Italy

PACS: 02.30.Ik
We construct the formal solution of the Cauchy problem for the dispersionless Kadomtsev-Petviashvili equation as 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.

Download PS file (GZipped, 70.8K)  |  Download PDF file (184.6K)

Список работ, цитирующих данную статью, см. здесь.

List of articles citing this article can be found here.