Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation
There is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here, an equation in which energy estimates fail to...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2024-01-01
|
| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://uzakufismat.elpub.ru/jour/article/view/9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832542994265276416 |
|---|---|
| author | A. I. Aristov |
| author_facet | A. I. Aristov |
| author_sort | A. I. Aristov |
| collection | DOAJ |
| description | There is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here, an equation in which energy estimates fail to gauge the cases when solutions exhibit such behavior was analyzed. A class of unbounded solutions was explored using the Painleve analysis. |
| format | Article |
| id | doaj-art-170f9e0312f64477b12e61408c349cd6 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-170f9e0312f64477b12e61408c349cd62025-02-03T12:00:35ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-01-01165318218910.26907/2541-7746.2023.3.182-1898Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equationA. I. Aristov0Lomonosov Moscow State University; Federal Research Center “Computer Sciences and Control”, Russian Academy of Sciences; MIREA – Russian Technological UniversityThere is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here, an equation in which energy estimates fail to gauge the cases when solutions exhibit such behavior was analyzed. A class of unbounded solutions was explored using the Painleve analysis.https://uzakufismat.elpub.ru/jour/article/view/9nonlinear partial equationsobolev-type equationpainleve analysislaurent series |
| spellingShingle | A. I. Aristov Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation Учёные записки Казанского университета: Серия Физико-математические науки nonlinear partial equation sobolev-type equation painleve analysis laurent series |
| title | Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation |
| title_full | Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation |
| title_fullStr | Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation |
| title_full_unstemmed | Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation |
| title_short | Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation |
| title_sort | painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear sobolev type equation |
| topic | nonlinear partial equation sobolev-type equation painleve analysis laurent series |
| url | https://uzakufismat.elpub.ru/jour/article/view/9 |
| work_keys_str_mv | AT aiaristov painleveanalysisoftravellingwavesolutionsandanalysisofenergyestimatesforanonlinearsobolevtypeequation |