2025-02-23T05:51:06-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148634%22&qt=morelikethis&rows=5
2025-02-23T05:51:06-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-148634%22&qt=morelikethis&rows=5
2025-02-23T05:51:06-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T05:51:06-05:00 DEBUG: Deserialized SOLR response
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential mo...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
|
| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148634 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
irk-123456789-148634 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1486342019-02-19T01:31:43Z Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation Shi, Y. Nimmo, J. Zhao, J. The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be used to construct exact solutions. 2017 Article Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation / Y. Shi, J. Nimmo, J. Zhao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 39A14; 37K10; 35C08 DOI:10.3842/SIGMA.2017.036 http://dspace.nbuv.gov.ua/handle/123456789/148634 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be used to construct exact solutions. |
| format |
Article |
| author |
Shi, Y. Nimmo, J. Zhao, J. |
| spellingShingle |
Shi, Y. Nimmo, J. Zhao, J. Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Shi, Y. Nimmo, J. Zhao, J. |
| author_sort |
Shi, Y. |
| title |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation |
| title_short |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation |
| title_full |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation |
| title_fullStr |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation |
| title_full_unstemmed |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation |
| title_sort |
darboux and binary darboux transformations for discrete integrable systems. ii. discrete potential mkdv equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148634 |
| citation_txt |
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation / Y. Shi, J. Nimmo, J. Zhao // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT shiy darbouxandbinarydarbouxtransformationsfordiscreteintegrablesystemsiidiscretepotentialmkdvequation AT nimmoj darbouxandbinarydarbouxtransformationsfordiscreteintegrablesystemsiidiscretepotentialmkdvequation AT zhaoj darbouxandbinarydarbouxtransformationsfordiscreteintegrablesystemsiidiscretepotentialmkdvequation |
| first_indexed |
2023-05-20T17:30:54Z |
| last_indexed |
2023-05-20T17:30:54Z |
| _version_ |
1796153460688683008 |