Class information for:
Level 1: FROBENIUS MANIFOLDS//WHITHAM EQUATIONS//HYDRODYNAMIC REDUCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8784 1217 24.2 47%


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
8784 1                   FROBENIUS MANIFOLDS//WHITHAM EQUATIONS//HYDRODYNAMIC REDUCTIONS 1217

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 FROBENIUS MANIFOLDS authKW 409751 3% 47% 35
2 WHITHAM EQUATIONS authKW 315241 1% 74% 17
3 HYDRODYNAMIC REDUCTIONS authKW 301069 1% 100% 12
4 DISPERSIVE SHOCKS authKW 235551 1% 72% 13
5 DIPARTIMENTO MATEMAT PURA PLICAZ address 178409 1% 89% 8
6 WDVV EQUATIONS authKW 156799 1% 63% 10
7 COMPATIBLE METRICS authKW 150534 0% 100% 6
8 RECURSION OPERATOR authKW 121553 2% 23% 21
9 SYSTEM OF HYDRODYNAMIC TYPE authKW 112898 0% 75% 6
10 FIS TEOR 2 address 108716 3% 11% 40

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 38475 49% 0% 602
2 Mathematics, Applied 6404 29% 0% 357
3 Physics, Multidisciplinary 5555 32% 0% 385
4 Mathematics 3757 25% 0% 303
5 Physics, Particles & Fields 44 3% 0% 36
6 Mechanics 29 3% 0% 34
7 Physics, Fluids & Plasmas 27 2% 0% 21
8 Physics, Nuclear 9 2% 0% 20
9 Multidisciplinary Sciences 4 1% 0% 7
10 Optics 4 2% 0% 28

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 DIPARTIMENTO MATEMAT PURA PLICAZ 178409 1% 89% 8
2 FIS TEOR 2 108716 3% 11% 40
3 INT NONLINEAR SCI 62718 0% 50% 5
4 LD LANDAU THEORET PHYS 39899 3% 4% 42
5 GEOMETR METHODS MATH PHYS 36889 0% 29% 5
6 AKHIEZER THEORET PHYS NSC 25089 0% 100% 1
7 ART ARCHAEOL SOAS 25089 0% 100% 1
8 DIFFIETY 25089 0% 100% 1
9 FRIEDRICH ALEXANDER 25089 0% 100% 1
10 INSITITUT RECH MATH PHYS 25089 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 THEORETICAL AND MATHEMATICAL PHYSICS 34377 7% 2% 83
2 RUSSIAN MATHEMATICAL SURVEYS 21552 4% 2% 46
3 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 20891 3% 2% 38
4 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 19189 3% 2% 35
5 PHYSICA D-NONLINEAR PHENOMENA 16126 5% 1% 64
6 JOURNAL OF GEOMETRY AND PHYSICS 12680 3% 1% 36
7 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 11348 2% 2% 22
8 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 11213 5% 1% 62
9 JOURNAL OF MATHEMATICAL PHYSICS 9743 6% 0% 79
10 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 9095 6% 0% 76

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 FROBENIUS MANIFOLDS 409751 3% 47% 35 Search FROBENIUS+MANIFOLDS Search FROBENIUS+MANIFOLDS
2 WHITHAM EQUATIONS 315241 1% 74% 17 Search WHITHAM+EQUATIONS Search WHITHAM+EQUATIONS
3 HYDRODYNAMIC REDUCTIONS 301069 1% 100% 12 Search HYDRODYNAMIC+REDUCTIONS Search HYDRODYNAMIC+REDUCTIONS
4 DISPERSIVE SHOCKS 235551 1% 72% 13 Search DISPERSIVE+SHOCKS Search DISPERSIVE+SHOCKS
5 WDVV EQUATIONS 156799 1% 63% 10 Search WDVV+EQUATIONS Search WDVV+EQUATIONS
6 COMPATIBLE METRICS 150534 0% 100% 6 Search COMPATIBLE+METRICS Search COMPATIBLE+METRICS
7 RECURSION OPERATOR 121553 2% 23% 21 Search RECURSION+OPERATOR Search RECURSION+OPERATOR
8 SYSTEM OF HYDRODYNAMIC TYPE 112898 0% 75% 6 Search SYSTEM+OF+HYDRODYNAMIC+TYPE Search SYSTEM+OF+HYDRODYNAMIC+TYPE
9 FLAT PENCIL OF METRICS 100356 0% 100% 4 Search FLAT+PENCIL+OF+METRICS Search FLAT+PENCIL+OF+METRICS
10 HEXAGONAL 3 WEB 100356 0% 100% 4 Search HEXAGONAL+3+WEB Search HEXAGONAL+3+WEB

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 MALTSEV, AY , (2010) THE CONSERVATION OF THE HAMILTONIAN STRUCTURES IN THE DEFORMATIONS OF THE WHITHAM SYSTEMS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 43. ISSUE 6. P. - 33 100% 0
2 YI, G , SANTINI, PM , (2015) THE INVERSE SPECTRAL TRANSFORM FOR THE DUNAJSKI HIERARCHY AND SOME OF ITS REDUCTIONS: I. CAUCHY PROBLEM AND LONGTIME BEHAVIOR OF SOLUTIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 21. P. - 33 85% 1
3 DUBROVIN, B , GRAVA, T , KLEIN, C , MORO, A , (2015) ON CRITICAL BEHAVIOUR IN SYSTEMS OF HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS.JOURNAL OF NONLINEAR SCIENCE. VOL. 25. ISSUE 3. P. 631 -707 45 52% 8
4 MALTSEV, AY , (2006) WHITHAM SYSTEMS AND DEFORMATIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 47. ISSUE 7. P. - 33 100% 2
5 GRINEVICH, PG , SANTINI, PM , WU, D , (2015) THE CAUCHY PROBLEM FOR THE PAVLOV EQUATION.NONLINEARITY. VOL. 28. ISSUE 11. P. 3709 -3754 34 77% 0
6 BOGDANOV, LV , KONOPELCHENKO, BG , (2004) SYMMETRY CONSTRAINTS FOR DISPERSIONLESS INTEGRABLE EQUATIONS AND SYSTEMS OF HYDRODYNAMIC TYPE.PHYSICS LETTERS A. VOL. 330. ISSUE 6. P. 448-459 36 92% 18
7 EL, GA , KAMCHATNOV, AM , PAVLOV, MV , ZYKOV, SA , (2011) KINETIC EQUATION FOR A SOLITON GAS AND ITS HYDRODYNAMIC REDUCTIONS.JOURNAL OF NONLINEAR SCIENCE. VOL. 21. ISSUE 2. P. 151 -191 31 89% 5
8 EL, GA , KHAMIS, EG , TOVBIS, A , (2016) DAM BREAK PROBLEM FOR THE FOCUSING NONLINEAR SCHRODINGER EQUATION AND THE GENERATION OF ROGUE WAVES.NONLINEARITY. VOL. 29. ISSUE 9. P. 2798 -2836 37 62% 1
9 SAVOLDI, A , (2016) ON DEFORMATIONS OF ONE-DIMENSIONAL POISSON STRUCTURES OF HYDRODYNAMIC TYPE WITH DEGENERATE METRIC.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 104. ISSUE . P. 246 -276 26 93% 0
10 PAVLOV, MV , (2006) THE KUPERSHMIDT HYDRODYNAMIC CHAINS AND LATTICES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE . P. - 32 94% 11

Classes with closest relation at Level 1


Rank Class id link
1 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
2 18752 GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS
3 14419 22 DIMENSIONS//N2 STRING//22 FORMALISM
4 6630 WRONSKIAN TECHNIQUE//STATE SOFTWARE DEV ENVIRONM//BACKLUND TRANSFORMATION
5 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
6 21504 NONLOCAL NLS EQUATION//ALGEBRAIC ROSSBY SOLITARY WAVES//INTERFACIAL INTERNAL WAVES
7 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
8 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
9 6895 W ALGEBRAS//SPINOR REALIZATION//TODA FIELD THEORY
10 26923 METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES

Go to start page