Class information for:
Level 1: PAINLEVE EQUATIONS//PAINLEVE EQUATION//ISOMONODROMIC DEFORMATIONS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
10236 1016 22.5 37%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
177 21144 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//EXP FUNCTION METHOD

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 PAINLEVE EQUATIONS Author keyword 43 47% 7% 67
2 PAINLEVE EQUATION Author keyword 40 63% 4% 40
3 ISOMONODROMIC DEFORMATIONS Author keyword 27 72% 2% 21
4 ISOMONODROMIC DEFORMATION Author keyword 19 68% 2% 17
5 GARNIER SYSTEM Author keyword 18 89% 1% 8
6 SCHLESINGER SYSTEM Author keyword 18 89% 1% 8
7 PAINLEVE HIERARCHIES Author keyword 14 100% 1% 7
8 PAINLEVE HIERARCHY Author keyword 14 100% 1% 7
9 MONODROMY DATA Author keyword 11 100% 1% 6
10 FUCHSIAN SYSTEM Author keyword 11 69% 1% 9

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 PAINLEVE EQUATIONS 43 47% 7% 67 Search PAINLEVE+EQUATIONS Search PAINLEVE+EQUATIONS
2 PAINLEVE EQUATION 40 63% 4% 40 Search PAINLEVE+EQUATION Search PAINLEVE+EQUATION
3 ISOMONODROMIC DEFORMATIONS 27 72% 2% 21 Search ISOMONODROMIC+DEFORMATIONS Search ISOMONODROMIC+DEFORMATIONS
4 ISOMONODROMIC DEFORMATION 19 68% 2% 17 Search ISOMONODROMIC+DEFORMATION Search ISOMONODROMIC+DEFORMATION
5 GARNIER SYSTEM 18 89% 1% 8 Search GARNIER+SYSTEM Search GARNIER+SYSTEM
6 SCHLESINGER SYSTEM 18 89% 1% 8 Search SCHLESINGER+SYSTEM Search SCHLESINGER+SYSTEM
7 PAINLEVE HIERARCHIES 14 100% 1% 7 Search PAINLEVE+HIERARCHIES Search PAINLEVE+HIERARCHIES
8 PAINLEVE HIERARCHY 14 100% 1% 7 Search PAINLEVE+HIERARCHY Search PAINLEVE+HIERARCHY
9 MONODROMY DATA 11 100% 1% 6 Search MONODROMY+DATA Search MONODROMY+DATA
10 FUCHSIAN SYSTEM 11 69% 1% 9 Search FUCHSIAN+SYSTEM Search FUCHSIAN+SYSTEM

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 RATIONAL COEFFICIENTS 78 54% 10% 101
2 MONODROMY PRESERVING DEFORMATION 55 63% 5% 55
3 TRANSCENDENTS 32 80% 2% 20
4 SOLUTION HIERARCHIES 27 92% 1% 11
5 YABLONSKII VOROBEV POLYNOMIALS 27 92% 1% 11
6 TRANSCENDENT 20 58% 2% 23
7 ISOMONODROMIC DEFORMATIONS 17 72% 1% 13
8 STEADY ELECTROLYSIS 17 100% 1% 8
9 PAINLEVE VI 15 71% 1% 12
10 3RD PAINLEVE EQUATION 15 88% 1% 7

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE 3 13% 2% 19

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
Elliptic Schlesinger system and Painleve VI 2006 8 9 89%
A coalescent diagram of the Painleve equations from the viewpoint of isomonodromic deformations 2006 10 4 75%
The fourth Painleve equation and associated special polynomials 2003 20 63 65%
Chazy's second-degree Painleve equations 2006 6 9 100%
A reduction of the resonant three-wave interaction to the generic sixth Painleve equation 2006 9 9 56%
ELLIPTIC ASYMPTOTICS OF THE FIRST AND THE 2ND PAINLEVE TRANSCENDENTS 1994 14 15 100%
Matching procedure for the sixth Painleve equation 2006 1 10 100%
Classical solutions of the degenerate Garnier system and their coalescence structures 2006 1 11 91%
A Review of the Sixth Painlev, Equation 2015 0 25 80%
A family of solutions of a higher order PVI equation near a regular singularity 2006 0 8 100%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ.
in class
1 EDIFICIO FIS 9 83% 0.5% 5
2 SEKI KOWA MATH 3 100% 0.3% 3
3 HBEREICH MATH AG 2 2 67% 0.2% 2
4 THEORY INFORMAT TRANSMISS CONTROL 1 100% 0.2% 2
5 AREA MATEMAT LICADA 1 19% 0.5% 5
6 CHAIR MATH PHYS 1 50% 0.1% 1
7 CNRS UMR 7640 1 50% 0.1% 1
8 F07 1 50% 0.1% 1
9 ARTS SCI MATH 1 20% 0.3% 3
10 MATH PHYS SECTOR 1 22% 0.2% 2

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000196663 GMPIB//IMNC//UMR 8165
2 0.0000150622 FIRST APPROXIMATION//LIMIT FAMILIES//LIMIT PROBLEMS
3 0.0000095869 RANDOM MATRICES//SAMPLE COVARIANCE MATRICES//TRACY WIDOM DISTRIBUTION
4 0.0000093228 KOWALEVSKI TOP//NON INTEGRABILITY//MORALES RAMIS THEORY
5 0.0000090511 ADDITIONAL SYMMETRIES//ADDITIONAL SYMMETRY//KP HIERARCHY
6 0.0000085821 DIPARTIMENTO MATEMAT PURA PLICAZ//WHITHAM EQUATIONS//FROBENIUS MANIFOLDS
7 0.0000076654 MULTISUMMABILITY//BOREL SUMMABILITY//GEVREY ESTIMATES
8 0.0000073771 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//WAKIMOTO MODULES
9 0.0000070742 MESOSCOP MULTILAYER STRUCT//LANDAU ZENER PROBLEM//LIOUVILLE NEUMANN EXPANSION
10 0.0000069050 ABELIAN FUNCTIONS//ELLIPTIC SOLITONS//SIGMA FUNCTION