On the identity of two q-discrete Painlevé equations and their geometrical derivation

Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.

Gespeichert in:

Autor*in:	Grammaticos, B [verfasserIn] Ramani, A [verfasserIn] Takenawa, T [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2006

Schlagwörter:	Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2006(2006), 1 vom: 11. Juni
Übergeordnetes Werk:	volume:2006 ; year:2006 ; number:1 ; day:11 ; month:06

Links:	Volltext

DOI / URN:	10.1155/ADE/2006/36397

Katalog-ID:	SPR032883536

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spelling	10.1155/ADE/2006/36397 doi (DE-627)SPR032883536 (SPR)36397-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Grammaticos, B verfasserin aut On the identity of two q-discrete Painlevé equations and their geometrical derivation 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups. Differential Equation (dpeaa)DE-He213 Partial Differential Equation (dpeaa)DE-He213 Ordinary Differential Equation (dpeaa)DE-He213 Functional Analysis (dpeaa)DE-He213 Functional Equation (dpeaa)DE-He213 Ramani, A verfasserin aut Takenawa, T verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2006(2006), 1 vom: 11. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2006 year:2006 number:1 day:11 month:06 https://dx.doi.org/10.1155/ADE/2006/36397 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2006 2006 1 11 06
allfields_unstemmed	10.1155/ADE/2006/36397 doi (DE-627)SPR032883536 (SPR)36397-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Grammaticos, B verfasserin aut On the identity of two q-discrete Painlevé equations and their geometrical derivation 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups. Differential Equation (dpeaa)DE-He213 Partial Differential Equation (dpeaa)DE-He213 Ordinary Differential Equation (dpeaa)DE-He213 Functional Analysis (dpeaa)DE-He213 Functional Equation (dpeaa)DE-He213 Ramani, A verfasserin aut Takenawa, T verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2006(2006), 1 vom: 11. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2006 year:2006 number:1 day:11 month:06 https://dx.doi.org/10.1155/ADE/2006/36397 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2006 2006 1 11 06
allfieldsGer	10.1155/ADE/2006/36397 doi (DE-627)SPR032883536 (SPR)36397-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Grammaticos, B verfasserin aut On the identity of two q-discrete Painlevé equations and their geometrical derivation 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups. Differential Equation (dpeaa)DE-He213 Partial Differential Equation (dpeaa)DE-He213 Ordinary Differential Equation (dpeaa)DE-He213 Functional Analysis (dpeaa)DE-He213 Functional Equation (dpeaa)DE-He213 Ramani, A verfasserin aut Takenawa, T verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2006(2006), 1 vom: 11. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2006 year:2006 number:1 day:11 month:06 https://dx.doi.org/10.1155/ADE/2006/36397 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2006 2006 1 11 06
allfieldsSound	10.1155/ADE/2006/36397 doi (DE-627)SPR032883536 (SPR)36397-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Grammaticos, B verfasserin aut On the identity of two q-discrete Painlevé equations and their geometrical derivation 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups. Differential Equation (dpeaa)DE-He213 Partial Differential Equation (dpeaa)DE-He213 Ordinary Differential Equation (dpeaa)DE-He213 Functional Analysis (dpeaa)DE-He213 Functional Equation (dpeaa)DE-He213 Ramani, A verfasserin aut Takenawa, T verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2006(2006), 1 vom: 11. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2006 year:2006 number:1 day:11 month:06 https://dx.doi.org/10.1155/ADE/2006/36397 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2006 2006 1 11 06
language	English
source	Enthalten in Advances in difference equations 2006(2006), 1 vom: 11. Juni volume:2006 year:2006 number:1 day:11 month:06
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topic_facet	Differential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation
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author	Grammaticos, B
spellingShingle	Grammaticos, B ddc 510 bkl 31.49 misc Differential Equation misc Partial Differential Equation misc Ordinary Differential Equation misc Functional Analysis misc Functional Equation On the identity of two q-discrete Painlevé equations and their geometrical derivation
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topic_title	510 610 ASE 31.49 bkl On the identity of two q-discrete Painlevé equations and their geometrical derivation Differential Equation (dpeaa)DE-He213 Partial Differential Equation (dpeaa)DE-He213 Ordinary Differential Equation (dpeaa)DE-He213 Functional Analysis (dpeaa)DE-He213 Functional Equation (dpeaa)DE-He213
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title	On the identity of two q-discrete Painlevé equations and their geometrical derivation
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title_full	On the identity of two q-discrete Painlevé equations and their geometrical derivation
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title_sort	on the identity of two q-discrete painlevé equations and their geometrical derivation
title_auth	On the identity of two q-discrete Painlevé equations and their geometrical derivation
abstract	Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.
abstractGer	Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.
abstract_unstemmed	Abstract We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.
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title_short	On the identity of two q-discrete Painlevé equations and their geometrical derivation
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