Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential
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| Title: | Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential |
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| Authors: | Liu, Yifang1 liuyifang08@yahoo.com.cn, Li, Guo-Rong2 |
| Source: | Applied Mathematics & Computation. Jan2013, Vol. 219 Issue 9, p4847-4852. 6p. |
| Subjects: | Solitons, Nonlinear equations, Schrödinger equation, Waves (Physics), Harmonic analysis (Mathematics), Numerical analysis, Nonlinear theories |
| Abstract: | Abstract: In this paper, the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential is studied both analytically and numerically. As a result, two families of matter wave soliton solutions are obtained and their stability is analyzed by linear stability analysis and dynamical evolutions. It is shown that the spatially inhomogeneous cubic–quintic nonlinearities and the anharmonic potential can support stable matter wave solitons. [Copyright &y& Elsevier] |
| Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 84368452 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Liu%2C+Yifang%22">Liu, Yifang</searchLink><relatesTo>1</relatesTo><i> liuyifang08@yahoo.com.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Guo-Rong%22">Li, Guo-Rong</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Computation%22">Applied Mathematics & Computation</searchLink>. Jan2013, Vol. 219 Issue 9, p4847-4852. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+equations%22">Nonlinear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+equation%22">Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Waves+%28Physics%29%22">Waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis+%28Mathematics%29%22">Harmonic analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this paper, the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential is studied both analytically and numerically. As a result, two families of matter wave soliton solutions are obtained and their stability is analyzed by linear stability analysis and dynamical evolutions. It is shown that the spatially inhomogeneous cubic–quintic nonlinearities and the anharmonic potential can support stable matter wave solitons. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.amc.2012.10.110 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 4847 Subjects: – SubjectFull: Solitons Type: general – SubjectFull: Nonlinear equations Type: general – SubjectFull: Schrödinger equation Type: general – SubjectFull: Waves (Physics) Type: general – SubjectFull: Harmonic analysis (Mathematics) Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Nonlinear theories Type: general Titles: – TitleFull: Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Liu, Yifang – PersonEntity: Name: NameFull: Li, Guo-Rong IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 00963003 Numbering: – Type: volume Value: 219 – Type: issue Value: 9 Titles: – TitleFull: Applied Mathematics & Computation Type: main |
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