Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations
Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a b...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gutshabash, E. Sh. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1998 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1998 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 115(1998), 3 vom: Juni, Seite 619-638 |
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| Übergeordnetes Werk: |
volume:115 ; year:1998 ; number:3 ; month:06 ; pages:619-638 |
| Links: |
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| DOI / URN: |
10.1007/BF02575486 |
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OLC2054217654 |
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| 245 | 1 | 0 | |a Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations |
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| 520 | |a Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. | ||
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| 700 | 1 | |a Nikulichev, S. S. |4 aut | |
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10.1007/BF02575486 doi (DE-627)OLC2054217654 (DE-He213)BF02575486-p DE-627 ger DE-627 rakwb eng 530 VZ Gutshabash, E. Sh. verfasserin aut Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. Soliton Curve Space Trace Identity Inverse Scatter Problem Maxwell Stress Tensor Lipovskii, V. D. aut Nikulichev, S. S. aut Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 115(1998), 3 vom: Juni, Seite 619-638 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:115 year:1998 number:3 month:06 pages:619-638 https://doi.org/10.1007/BF02575486 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4318 AR 115 1998 3 06 619-638 |
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10.1007/BF02575486 doi (DE-627)OLC2054217654 (DE-He213)BF02575486-p DE-627 ger DE-627 rakwb eng 530 VZ Gutshabash, E. Sh. verfasserin aut Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. Soliton Curve Space Trace Identity Inverse Scatter Problem Maxwell Stress Tensor Lipovskii, V. D. aut Nikulichev, S. S. aut Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 115(1998), 3 vom: Juni, Seite 619-638 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:115 year:1998 number:3 month:06 pages:619-638 https://doi.org/10.1007/BF02575486 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4318 AR 115 1998 3 06 619-638 |
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10.1007/BF02575486 doi (DE-627)OLC2054217654 (DE-He213)BF02575486-p DE-627 ger DE-627 rakwb eng 530 VZ Gutshabash, E. Sh. verfasserin aut Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations 1998 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1998 Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. Soliton Curve Space Trace Identity Inverse Scatter Problem Maxwell Stress Tensor Lipovskii, V. D. aut Nikulichev, S. S. aut Enthalten in Theoretical and mathematical physics Kluwer Academic Publishers-Plenum Publishers, 1969 115(1998), 3 vom: Juni, Seite 619-638 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:115 year:1998 number:3 month:06 pages:619-638 https://doi.org/10.1007/BF02575486 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2012 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4310 GBV_ILN_4318 AR 115 1998 3 06 619-638 |
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Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations |
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Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. © Plenum Publishing Corporation 1998 |
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Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. © Plenum Publishing Corporation 1998 |
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Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions. © Plenum Publishing Corporation 1998 |
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Sh.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonlinear σ-model in a curved space, gauge equivalence, and exact solutions of (2+0)-dimensional integrable equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1998</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 1998</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We propose a nonlinear σ-model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We consider the Pohlmeyer transformation in Euclidean space and investigate the gauge equivalence conditions for a broad class of elliptic equations. We develop the inverse scattering transform method for the sinh-Gordon equation and evaluate its exact and asymptotic solutions.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Soliton</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Curve Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Trace Identity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse Scatter Problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Maxwell Stress Tensor</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lipovskii, V. 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