Nonlocal modified KdV equations and their soliton solutions by Hirota Method

Simple item page
buir.contributor.authorGürses, Metin
dc.citation.epage448en_US
dc.citation.spage427en_US
dc.citation.volumeNumber67en_US
dc.contributor.authorGürses, Metinen_US
dc.contributor.authorPekcan, A.en_US
dc.date.accessioned2020-01-28T06:42:53Z
dc.date.available2020-01-28T06:42:53Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe study the nonlocal modified Korteweg–de Vries (mKdV) equations obtained from AKNS scheme by Ablowitz–Musslimani type nonlocal reductions. We first find soliton solutions of the coupled mKdV system by using the Hirota direct method. Then by using the Ablowitz–Musslimani reduction formulas, we find one-, two-, and three-soliton solutions of nonlocal mKdV and nonlocal complex mKdV equations. The soliton solutions of these equations are of two types. We give one-soliton solutions of both types and present only first type of two- and three-soliton solutions. We illustrate our solutions by plotting their graphs for particular values of the parameters.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-01-28T06:42:53Z No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5)en
dc.description.provenanceMade available in DSpace on 2020-01-28T06:42:53Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) Previous issue date: 2018en
dc.embargo.release2022-02-01
dc.identifier.doi10.1016/j.cnsns.2018.07.013en_US
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/11693/52854
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.cnsns.2018.07.013en_US
dc.source.titleCommunications in Nonlinear Science and Numerical Simulationen_US
dc.subjectAblowitz–Musslimani reductionen_US
dc.subjectNonlocal mKdV equationsen_US
dc.subjectHirota bilinear formen_US
dc.subjectSoliton solutionsen_US
dc.titleNonlocal modified KdV equations and their soliton solutions by Hirota Methoden_US
dc.typeArticleen_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Nonlocal_modified_KdV_equations_and_their_soliton_solutions_by_Hirota_Method.pdf
Size:
3.63 MB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Scholarly Publications - Mathematics