Published August 2010
| Version v1
Journal article
Integration of the Toda lattice with an integral-type source
Creators
- 1. Department of Mathematical Analysis, University of Santiago de Compostela, 15782, Santiago de Compostela (Spain)
- 2. Department of Mathematics, Urgench State University, 14 Kh. Alimdjan, 220100, Urgench (Uzbekistan)
Description
In this paper, it is shown that the solutions of the Toda lattice in Flaschka's form with a self-consistent integral-type source can be found by the inverse scattering problem for the discrete Sturm–Liouville operator. Moreover, the conditions are obtained under which the Toda lattice with an integral-type source has pure soliton solutions. The results can be used in modeling special types of electric transmission lines
Availability note (English)
Available from http://dx.doi.org/10.1088/0266-5611/26/8/085004Additional details
Identifiers
- DOI
- 10.1088/0266-5611/26/8/085004;
- PII
- S0266-5611(10)25163-8;
Publishing Information
- Journal Title
- Inverse Problems
- Journal Volume
- 26
- Journal Issue
- 8
- Journal Page Range
- [12 p.]
- ISSN
- 0266-5611
- CODEN
- INVPET
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034727
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- INTEGRALS; INVERSE SCATTERING PROBLEM; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; SOLITONS; STURM-LIOUVILLE EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; QUASI PARTICLES