The bäcklund transformations of the fifth painlevé equation and their applications
The main objective of this paper is to study the properties of the Bäcklund transformations and the auto‐Bäcklund transformations, to construct the nonlinear superposition formulas for the solutions of the fifth Painlevé equation and to obtain the values of the parameters after the successive applic...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2001-12-01
|
| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9901 |
| _version_ | 1818765326982053888 |
|---|---|
| author | V. Gromak G. Filipuk |
| author_facet | V. Gromak G. Filipuk |
| author_sort | V. Gromak |
| collection | DOAJ |
| description | The main objective of this paper is to study the properties of the Bäcklund transformations and the auto‐Bäcklund transformations, to construct the nonlinear superposition formulas for the solutions of the fifth Painlevé equation and to obtain the values of the parameters after the successive application of the Bäcklund transformations.
Penktosios Penlevė lygties Bäcklund'o transformacijos ir jų pritaikymai
Santrauka
Darbe nagrinejamos Backlund'o transformaciju siejamu su penktaja Penleve lygtimi, savybes. Remiantis šiomis savybemis sukonstruotos Penleve lygties sprendiniu netiesiogines superpozicijos. Tai suteikia galimybe sudaryti nagrinejamos lygties sprendiniu herarchija ir susieti ja su kitos lygties (su kitais parametrais) sprendiniais.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-18T08:16:19Z |
| format | Article |
| id | doaj.art-6f83e0b7bcbe42dcbb78dce25ec72901 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-18T08:16:19Z |
| publishDate | 2001-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-6f83e0b7bcbe42dcbb78dce25ec729012022-12-21T21:14:48ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102001-12-016210.3846/13926292.2001.9637161The bäcklund transformations of the fifth painlevé equation and their applicationsV. Gromak0G. Filipuk1Belarusian State University , Skorina Ave. 4, Minsk, 220050, BelarusBelarusian State University , Skorina Ave. 4, Minsk, 220050, BelarusThe main objective of this paper is to study the properties of the Bäcklund transformations and the auto‐Bäcklund transformations, to construct the nonlinear superposition formulas for the solutions of the fifth Painlevé equation and to obtain the values of the parameters after the successive application of the Bäcklund transformations. Penktosios Penlevė lygties Bäcklund'o transformacijos ir jų pritaikymai Santrauka Darbe nagrinejamos Backlund'o transformaciju siejamu su penktaja Penleve lygtimi, savybes. Remiantis šiomis savybemis sukonstruotos Penleve lygties sprendiniu netiesiogines superpozicijos. Tai suteikia galimybe sudaryti nagrinejamos lygties sprendiniu herarchija ir susieti ja su kitos lygties (su kitais parametrais) sprendiniais. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9901- |
| spellingShingle | V. Gromak G. Filipuk The bäcklund transformations of the fifth painlevé equation and their applications Mathematical Modelling and Analysis - |
| title | The bäcklund transformations of the fifth painlevé equation and their applications |
| title_full | The bäcklund transformations of the fifth painlevé equation and their applications |
| title_fullStr | The bäcklund transformations of the fifth painlevé equation and their applications |
| title_full_unstemmed | The bäcklund transformations of the fifth painlevé equation and their applications |
| title_short | The bäcklund transformations of the fifth painlevé equation and their applications |
| title_sort | backlund transformations of the fifth painleve equation and their applications |
| topic | - |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9901 |
| work_keys_str_mv | AT vgromak thebacklundtransformationsofthefifthpainleveequationandtheirapplications AT gfilipuk thebacklundtransformationsofthefifthpainleveequationandtheirapplications AT vgromak backlundtransformationsofthefifthpainleveequationandtheirapplications AT gfilipuk backlundtransformationsofthefifthpainleveequationandtheirapplications |