Traveling wave solutions of degenerate coupled multi-KdV equations
| dc.citation.issueNumber | 10 | en_US |
| dc.citation.volumeNumber | 57 | en_US |
| dc.contributor.author | Gürses M. | en_US |
| dc.contributor.author | Pekcan, A. | en_US |
| dc.date.accessioned | 2018-04-12T10:46:54Z | |
| dc.date.available | 2018-04-12T10:46:54Z | |
| dc.date.issued | 2016 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Traveling wave solutions of degenerate coupled ℓ-KdV equations are studied. Due to symmetry reduction these equations reduce to one ordinary differential equation (ODE), i.e., (f′)2 = Pn(f) where Pn(f) is a polynomial function of f of degree n = ℓ + 2, where ℓ ≥ 3 in this work. Here ℓ is the number of coupled fields. There is no known method to solve such ordinary differential equations when ℓ ≥ 3. For this purpose, we introduce two different types of methods to solve the reduced equation and apply these methods to degenerate three-coupled KdV equation. One of the methods uses the Chebyshev’s theorem. In this case, we find several solutions, some of which may correspond to solitary waves. The second method is a kind of factorizing the polynomial Pn(f) as a product of lower degree polynomials. Each part of this product is assumed to satisfy different ODEs. | en_US |
| dc.description.provenance | Made available in DSpace on 2018-04-12T10:46:54Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2016 | en |
| dc.identifier.doi | 10.1063/1.4965444 | en_US |
| dc.identifier.eissn | 1089-7658 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | http://hdl.handle.net/11693/36644 | |
| dc.language.iso | English | en_US |
| dc.publisher | American Institute of Physics | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1063/1.4965444 | en_US |
| dc.source.title | Journal of Mathematical Physics | en_US |
| dc.title | Traveling wave solutions of degenerate coupled multi-KdV equations | en_US |
| dc.type | Article | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Traveling wave solutions of degenerate coupled multi-KdV equations.pdf
- Size:
- 1.56 MB
- Format:
- Adobe Portable Document Format
- Description:
- Full printable version