Class information for:
Level 1: INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4300 1809 21.3 57%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
127 2             PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION 23959
4300 1                   INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA 1809

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INTEGRABLE COUPLING authKW 2094904 7% 97% 128
2 HAMILTONIAN STRUCTURE authKW 1691763 8% 70% 143
3 LOOP ALGEBRA authKW 705100 3% 66% 63
4 MATHS SYSTEMAT SCI address 368040 1% 84% 26
5 SOLITON HIERARCHY authKW 338324 1% 95% 21
6 INTEGRABLE COUPLING SYSTEM authKW 337559 1% 100% 20
7 LIOUVILLE INTEGRABILITY authKW 323173 2% 64% 30
8 TRACE IDENTITY authKW 288002 1% 74% 23
9 SUPER TRACE IDENTITY authKW 286925 1% 100% 17
10 QUADRATIC FORM IDENTITY authKW 270983 1% 94% 17

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Physics, Mathematical 60237 51% 0% 918
2 Physics, Multidisciplinary 15789 43% 0% 778
3 Mathematics, Applied 5140 22% 0% 397
4 Mathematics, Interdisciplinary Applications 3576 10% 0% 189
5 Mathematics 361 8% 0% 138
6 Physics, Fluids & Plasmas 224 3% 0% 59
7 Mechanics 129 4% 0% 72
8 Physics, Condensed Matter 40 5% 0% 87
9 Multidisciplinary Sciences 24 1% 0% 16
10 Physics, Particles & Fields 8 2% 0% 31

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATHS SYSTEMAT SCI 368040 1% 84% 26
2 MATH SYSTEMAT SCI 103348 1% 29% 21
3 NONLINEAR PHYS CONDENSED MATTER 37974 0% 75% 3
4 SCI LITERATURE SECT 33756 0% 100% 2
5 NONLINEAR MATH MODELS METHODS 20085 0% 24% 5
6 COMPUTAT MATH SCI ENGN COMP 18244 2% 4% 30
7 STATE SCI ENGN COMP 17450 1% 5% 22
8 BASIC CARE 16878 0% 100% 1
9 BASIC CONCEPTS 16878 0% 100% 1
10 BASIC CORSES 16878 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MATHEMATICAL PHYSICS 50283 12% 1% 218
2 COMMUNICATIONS IN THEORETICAL PHYSICS 37617 7% 2% 133
3 CHAOS SOLITONS & FRACTALS 36800 7% 2% 131
4 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 22790 2% 4% 38
5 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 17941 7% 1% 130
6 PHYSICS LETTERS A 17625 10% 1% 185
7 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 12716 3% 1% 53
8 MODERN PHYSICS LETTERS B 9574 3% 1% 54
9 REPORTS ON MATHEMATICAL PHYSICS 6440 1% 2% 20
10 INVERSE PROBLEMS 5326 2% 1% 33

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 INTEGRABLE COUPLING 2094904 7% 97% 128 Search INTEGRABLE+COUPLING Search INTEGRABLE+COUPLING
2 HAMILTONIAN STRUCTURE 1691763 8% 70% 143 Search HAMILTONIAN+STRUCTURE Search HAMILTONIAN+STRUCTURE
3 LOOP ALGEBRA 705100 3% 66% 63 Search LOOP+ALGEBRA Search LOOP+ALGEBRA
4 SOLITON HIERARCHY 338324 1% 95% 21 Search SOLITON+HIERARCHY Search SOLITON+HIERARCHY
5 INTEGRABLE COUPLING SYSTEM 337559 1% 100% 20 Search INTEGRABLE+COUPLING+SYSTEM Search INTEGRABLE+COUPLING+SYSTEM
6 LIOUVILLE INTEGRABILITY 323173 2% 64% 30 Search LIOUVILLE+INTEGRABILITY Search LIOUVILLE+INTEGRABILITY
7 TRACE IDENTITY 288002 1% 74% 23 Search TRACE+IDENTITY Search TRACE+IDENTITY
8 SUPER TRACE IDENTITY 286925 1% 100% 17 Search SUPER+TRACE+IDENTITY Search SUPER+TRACE+IDENTITY
9 QUADRATIC FORM IDENTITY 270983 1% 94% 17 Search QUADRATIC+FORM+IDENTITY Search QUADRATIC+FORM+IDENTITY
10 BINARY NONLINEARIZATION 270047 1% 100% 16 Search BINARY+NONLINEARIZATION Search BINARY+NONLINEARIZATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 YU, SM , YAO, YQ , SHEN, SF , MA, WX , (2015) BI-INTEGRABLE COUPLINGS OF A KAUP-NEWELL TYPE SOLITON HIERARCHY AND THEIR BI-HAMILTONIAN STRUCTURES.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 23. ISSUE 1-3. P. 366 -377 33 100% 1
2 TAM, HW , ZHANG, YF , (2012) AN INTEGRABLE SYSTEM AND ASSOCIATED INTEGRABLE MODELS AS WELL AS HAMILTONIAN STRUCTURES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 53. ISSUE 10. P. - 34 92% 9
3 MA, WX , SHEN, SF , YU, SM , ZHANG, HQ , ZHANG, WY , (2014) AN INTEGRABLE SO(3, R)-COUNTERPART OF THE HEISENBERG SOLITON HIERARCHY.REPORTS ON MATHEMATICAL PHYSICS. VOL. 74. ISSUE 3. P. 283 -299 29 97% 1
4 YU, FJ , FENG, S , (2016) CONSTRUCTING A VARIABLE COEFFICIENT INTEGRABLE COUPLING EQUATION HIERARCHY AND ITS HAMILTONIAN STRUCTURE.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES. VOL. 71. ISSUE 3. P. 281 -287 29 91% 0
5 YU, SM , YE, YJ , ZHANG, J , SONG, JQ , (2016) TRI-INTEGRABLE COUPLING OF THE KAUP-NEWELL SOLITON HIERARCHY AND LIONVILLE INTEGRABILITY.MODERN PHYSICS LETTERS B. VOL. 30. ISSUE 21. P. - 25 100% 0
6 ZHU, HY , YU, SM , SHEN, SF , MA, WX , (2015) NEW INTEGRABLE SL(2, R)- GENERALIZATION OF THE CLASSICAL WADATI-KONNO-ICHIKAWA HIERARCHY.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 22. ISSUE 1-3. P. 1341 -1349 26 96% 1
7 MA, WX , ZHANG, HQ , MENG, JH , (2013) A BLOCK MATRIX LOOP ALGEBRA AND BI-INTEGRABLE COUPLINGS OF THE DIRAC EQUATIONS.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS. VOL. 3. ISSUE 3. P. 171-189 33 80% 0
8 XIA, TC , YOU, FC , ZHAO, WY , (2005) MULTI-COMPONENT LEVI HIERARCHY AND ITS MULTI-COMPONENT INTEGRABLE COUPLING SYSTEM.COMMUNICATIONS IN THEORETICAL PHYSICS. VOL. 44. ISSUE 6. P. 990-996 33 97% 5
9 SHEN, SF , LI, CX , JIN, YY , YU, SM , (2015) MULTI-COMPONENT INTEGRABLE COUPLINGS FOR THE ABLOWITZ-KAUP-NEWELL-SEGUR AND VOLTERRA HIERARCHIES.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 17. P. 4345 -4356 25 100% 0
10 JI, H , YAO, YQ , CHEN, DY , (2009) HIERARCHIES, INTEGRABLE DECOMPOSITIONS AND CONSERVATION LAWS OF GENG EQUATION.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 70. ISSUE 5. P. 1890 -1901 30 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 6630 WRONSKIAN TECHNIQUE//STATE SOFTWARE DEV ENVIRONM//BACKLUND TRANSFORMATION
2 4250 GMPIB//IMNC//UMR 8165
3 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
4 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
5 6895 W ALGEBRAS//SPINOR REALIZATION//TODA FIELD THEORY
6 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
7 12667 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS
8 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
9 5511 CAMASSA HOLM EQUATION//PEAKON//DEGASPERIS PROCESI EQUATION
10 8784 FROBENIUS MANIFOLDS//WHITHAM EQUATIONS//HYDRODYNAMIC REDUCTIONS

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