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Title: Scattering transform for nonstationary Schroedinger equation with bidimensionally perturbed N-soliton potential

Abstract

In the framework of the extended resolvent approach the direct and inverse scattering problems for the nonstationary Schroedinger equation with a potential being a perturbation of the N-soliton potential by means of a generic bidimensional smooth function decaying at large spaces are introduced and investigated. The initial value problem of the Kadomtsev-Petviashvili I equation for a solution describing N wave solitons on a generic smooth decaying background is then linearized, giving the time evolution of the spectral data.

Authors:
; ;  [1];  [2]
  1. Dipartimento di Fisica, Universita di Lecce, Sezione INFN, Lecce I-73100 (Italy)
  2. (Russian Federation)
Publication Date:
OSTI Identifier:
20861567
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Journal Issue: 12; Other Information: DOI: 10.1063/1.2393144; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EVOLUTION; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; POTENTIAL SCATTERING; POTENTIALS; SCHROEDINGER EQUATION; SOLITONS

Citation Formats

Boiti, M., Pempinelli, F., Pogrebkov, A. K., and Steklov Mathematical Institute, 119991 Moscow. Scattering transform for nonstationary Schroedinger equation with bidimensionally perturbed N-soliton potential. United States: N. p., 2006. Web. doi:10.1063/1.2393144.
Boiti, M., Pempinelli, F., Pogrebkov, A. K., & Steklov Mathematical Institute, 119991 Moscow. Scattering transform for nonstationary Schroedinger equation with bidimensionally perturbed N-soliton potential. United States. doi:10.1063/1.2393144.
Boiti, M., Pempinelli, F., Pogrebkov, A. K., and Steklov Mathematical Institute, 119991 Moscow. Fri . "Scattering transform for nonstationary Schroedinger equation with bidimensionally perturbed N-soliton potential". United States. doi:10.1063/1.2393144.
@article{osti_20861567,
title = {Scattering transform for nonstationary Schroedinger equation with bidimensionally perturbed N-soliton potential},
author = {Boiti, M. and Pempinelli, F. and Pogrebkov, A. K. and Steklov Mathematical Institute, 119991 Moscow},
abstractNote = {In the framework of the extended resolvent approach the direct and inverse scattering problems for the nonstationary Schroedinger equation with a potential being a perturbation of the N-soliton potential by means of a generic bidimensional smooth function decaying at large spaces are introduced and investigated. The initial value problem of the Kadomtsev-Petviashvili I equation for a solution describing N wave solitons on a generic smooth decaying background is then linearized, giving the time evolution of the spectral data.},
doi = {10.1063/1.2393144},
journal = {Journal of Mathematical Physics},
number = 12,
volume = 47,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}