Class information for:
Level 1: HAMILTONIAN STRUCTURE//INTEGRABLE COUPLING//INTEGRABLE COUPLINGS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
3411 1915 20.8 53%



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 HAMILTONIAN STRUCTURE Author keyword 166 71% 7% 135
2 INTEGRABLE COUPLING Author keyword 161 93% 3% 62
3 INTEGRABLE COUPLINGS Author keyword 134 89% 3% 62
4 LOOP ALGEBRA Author keyword 69 66% 3% 64
5 INTEGRABLE COUPLING SYSTEM Author keyword 56 100% 1% 19
6 MATHS SYSTEMAT SCI Address 52 87% 1% 26
7 QUADRATIC FORM IDENTITY Author keyword 49 94% 1% 17
8 SOLITON HIERARCHY Author keyword 48 91% 1% 20
9 BINARY NONLINEARIZATION Author keyword 41 100% 1% 15
10 LATTICE SOLITON EQUATION Author keyword 37 100% 1% 14

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 HAMILTONIAN STRUCTURE 166 71% 7% 135 Search HAMILTONIAN+STRUCTURE Search HAMILTONIAN+STRUCTURE
2 INTEGRABLE COUPLING 161 93% 3% 62 Search INTEGRABLE+COUPLING Search INTEGRABLE+COUPLING
3 INTEGRABLE COUPLINGS 134 89% 3% 62 Search INTEGRABLE+COUPLINGS Search INTEGRABLE+COUPLINGS
4 LOOP ALGEBRA 69 66% 3% 64 Search LOOP+ALGEBRA Search LOOP+ALGEBRA
5 INTEGRABLE COUPLING SYSTEM 56 100% 1% 19 Search INTEGRABLE+COUPLING+SYSTEM Search INTEGRABLE+COUPLING+SYSTEM
6 QUADRATIC FORM IDENTITY 49 94% 1% 17 Search QUADRATIC+FORM+IDENTITY Search QUADRATIC+FORM+IDENTITY
7 SOLITON HIERARCHY 48 91% 1% 20 Search SOLITON+HIERARCHY Search SOLITON+HIERARCHY
8 BINARY NONLINEARIZATION 41 100% 1% 15 Search BINARY+NONLINEARIZATION Search BINARY+NONLINEARIZATION
9 LATTICE SOLITON EQUATION 37 100% 1% 14 Search LATTICE+SOLITON+EQUATION Search LATTICE+SOLITON+EQUATION
10 DISCRETE ZERO CURVATURE REPRESENTATION 33 100% 1% 13 Search DISCRETE+ZERO+CURVATURE+REPRESENTATION Search DISCRETE+ZERO+CURVATURE+REPRESENTATION

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 SEMIDIRECT SUMS 383 93% 7% 141
2 BINARY NONLINEARIZATION 206 97% 3% 60
3 NONLINEARIZATION 191 100% 3% 49
4 AKNS HIERARCHY 172 86% 5% 89
5 TRACE IDENTITY 154 92% 3% 60
6 PERTURBATION EQUATIONS 151 86% 4% 76
7 SYMMETRY CONSTRAINT 113 92% 2% 45
8 CONSTRAINED FLOWS 99 97% 2% 29
9 HAMILTONIAN STRUCTURE 93 44% 8% 162
10 LOOP ALGEBRA 83 74% 3% 61

Journals

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
Generalized r-matrix structure and algebro-geometric solution for integrable system 2001 45 22 86%
SYMMETRIES AND INTEGRABILITY 1987 190 47 51%
An alternative approach to algebro-geometric solutions of the AKNS hierarchy 1998 38 14 50%
Some reductions from a Lax integrable system and their Hamiltonian structures 2012 0 6 100%
Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices 2004 14 33 61%
Integrable discretizations for lattice system: Local equations of motion and their Hamiltonian properties 1999 35 67 45%
On the continuous limit of integrable lattices II. Volterra systems and sp(N) theories 1998 8 11 82%
The tau functions of the AKS hierarchy and twistor correspondence 1999 1 10 80%
DARBOUX AND BACKLUND-TRANSFORMATIONS FOR THE SCHRODINGER-EQUATION 1987 0 3 67%

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 MATHS SYSTEMAT SCI 52 87% 1.4% 26
2 MATH SYSTEMAT SCI 9 34% 1.1% 21
3 NONLINEAR PHYS CONDENSED MATTER 4 75% 0.2% 3
4 NONLINEAR MATH MODELS METHODS 1 25% 0.3% 5
5 ADV DESIGN TECHNOL 1 19% 0.3% 5
6 SCI LITERATURE SECT 1 50% 0.1% 1
7 SOFTWARE ENGN E CHINA 1 50% 0.1% 1
8 UMS 839 IHP 1 50% 0.1% 1
9 ECOL STAT 0 33% 0.1% 1
10 FRUMAM FR2291 0 33% 0.1% 1

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000202519 ZERO CURVATURE REPRESENTATIONS//RECURSION OPERATORS//DIFFERENTIAL SUBSTITUTION
2 0.0000201968 ADDITIONAL SYMMETRIES//ADDITIONAL SYMMETRY//KP HIERARCHY
3 0.0000201312 WRONSKIAN TECHNIQUE//STATE SOFTWARE DEV ENVIRONM//DARBOUX TRANSFORMATION
4 0.0000143345 TODA FLOW//ISOSPECTRAL FLOW//COMPLETE MULTIPLICATIVE JORDAN DECOMPOSITION
5 0.0000141664 GMPIB//IMNC//UMR 8165
6 0.0000116285 VARIABLE SEPARATION APPROACH//VARIABLE SEPARATION SOLUTION//EXTENDED MAPPING APPROACH
7 0.0000109352 ABELIAN FUNCTIONS//ELLIPTIC SOLITONS//SIGMA FUNCTION
8 0.0000107669 THE DNLS EQUATION//CUBIC QUINTIC SCHRODINGER EQUATION//OPTICAL LOSSLESS CUBIC QUINTIC SCHRODINGER EQUATION
9 0.0000093765 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//QUADRATIC ALGEBRAS
10 0.0000091514 KOWALEVSKI TOP//NON INTEGRABILITY//MORALES RAMIS THEORY