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Group analysis and renorm group symmetries

V.F. Kovalev
(
- Moscow, Inst. Math. Modeling
)
,
V.V. Pustovalov
(
- Dubna, JINR
)
,
D.V. Shirkov
(
- Dubna, JINR
)

Jul, 1996

32 pages

Published in:

J.Math.Phys. 39 (1998) 1170-1188

e-Print:

hep-th/9706056 [hep-th]

DOI:

10.1063/1.532374

Report number:

JINR-E5-96-209

View in:

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Abstract:

An original regular approach to constructing special type symmetries for boundary value problems, namely renormgroup symmetries, is presented. Different methods of calculating these symmetries, based on modern group analysis are described. Application of the approach to boundary value problems is demonstrated with the help of a simple mathematical model.

renormalization group: transformation
differential equations
group theory: Lie
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References(41)

Figures(0)

- Helv.Phys.Acta 22 499

Quantum electrodynamics at small distances

Murray Gell-Mann
(
- Illinois U., Urbana
)
,
F.E. Low
(
- Illinois U., Urbana
)

- Phys.Rev. 95 (1954) 1300-1312
•
DOI:
- 10.1103/PhysRev.95.1300

- Dokl.Akad.Nauk Ser.Fiz. 103 203

- Nuovo Cim. 103 391

Charge renormalization group in quantum field theory

- Nuovo Cim. 3 (1956) 845-863
•
DOI:
- 10.1007/BF02823486

- Sov.Phys.JETP 3 57

Renormalization group and critical phenomena. 2. Phase space cell analysis of critical behavior

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.B 4 (1971) 3184-3205
•
DOI:
- 10.1103/PhysRevB.4.3184

Renormalization Group in Modern Physics

D.V. Shirkov
(
- Dubna, JINR
)

- Int.J.Mod.Phys.A 3 (1988) 1321
•
DOI:
- 10.1142/S0217751X88000564

Renormalization Group, Principle of Invariance and Functional Automodelity

D.V. Shirkov
(
- Dubna, JINR
)

- Sov.Phys.Dokl. 27 (1982) 197,
- Sov. Phys. Dokl. 27 ( 1982) 197-199 and Dubna Jinr - 81-801 (81,REC.FEB.82) 5p

The Renormalization Group Method and Functional Selfsimilarity in Physics

D.V. Shirkov
(
- Dubna, JINR
)

- Theor.Math.Phys. 60 (1985) 778,
- Teor.Mat.Fiz. 60 (1984) 218-223,
- Teor. Mat. Fiz. 60 ( 1984) 218-223
•
DOI:
- 10.1007/BF01018977

- Theor.Math.Phys. 81 1060

- Quant.Electron. 18 463

- Quant.Electron. 19 1454

- Sov.J.Plasma Phys. 15 27

- Sov.J.Plasma Phys. 15 327

- J.Sci.Comput. 4 355

- Phys.Rev.Lett. 64 1361

- Russ.Math.Surveys 26 45

- Ann.Rev.Fluid Mech. 4 285

The Renormalization group and singular perturbations: Multiple scales, boundary layers and reductive perturbation theory

Lin-Yuan Chen
(
- Illinois U., Urbana and
- Santa Barbara, KITP
)
,
Nigel Goldenfeld
(
- Illinois U., Urbana
)
,
Y. Oono
(
- Illinois U., Urbana
)

- Phys.Rev.E 54 (1996) 376-394
•
e-Print:
- hep-th/9506161
•
DOI:
- 10.1103/PhysRevE.54.376

A Geometrical formulation of the renormalization group method for global analysis

Teiji Kunihiro
(
- Ryukoku U.
)

- Prog.Theor.Phys. 94 (1995) 503-514,
- Prog.Theor.Phys. 95 (1996) 835 (erratum)
•
e-Print:
- hep-th/9505166
•
DOI:
- 10.1143/PTP.94.503

- Commun.Math.Phys. 150 193

- Commun.Pure Appl.Math. 47 893

- J.Diff.Eq. 130 9

- Russ.Math.Surveys 49 155

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