Class information for:
Level 1: GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18752 537 20.2 45%


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
18752 1                   GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS 537

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 GLOBAL RELATION authKW 573354 2% 92% 11
2 RIEMANN HILBERT PROBLEM authKW 458613 8% 18% 44
3 RIEMANN HILBERT PROBLEMS authKW 269602 4% 23% 21
4 FOKAS METHOD authKW 236922 1% 83% 5
5 NONLINEAR STEEPEST DESCENT authKW 236922 1% 83% 5
6 UNIFIED TRANSFORM METHOD authKW 236922 1% 83% 5
7 FINITE GENUS SOLUTIONS authKW 170585 1% 100% 3
8 INVERSE SPECTRAL METHOD authKW 170585 1% 100% 3
9 TIME PERIODIC DATA authKW 170585 1% 100% 3
10 TRANSFORM METHOD authKW 158214 1% 35% 8

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 12333 42% 0% 227
2 Mathematics, Applied 8344 49% 0% 265
3 Mathematics 2091 28% 0% 149
4 Physics, Multidisciplinary 863 20% 0% 105
5 Mechanics 59 5% 0% 25
6 Physics, Fluids & Plasmas 11 2% 0% 9
7 Multidisciplinary Sciences 8 1% 0% 5
8 Acoustics 2 1% 0% 4
9 Computer Science, Software Engineering 1 1% 0% 4
10 Mathematics, Interdisciplinary Applications 0 1% 0% 3

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 PHYS MATH THOR 56862 0% 100% 1
2 PL MATH THEORET PHYS 54067 13% 1% 68
3 URA 768 32490 0% 29% 2
4 PL MATH THEOR PHYS 28430 0% 50% 1
5 TRAINING SIMULAT 28430 0% 50% 1
6 PL MATH COMP 25987 1% 11% 4
7 CLARKSON STAT PHYS 16243 0% 14% 2
8 PHYS MATH THEOR 15981 1% 5% 6
9 MATHEM 14214 0% 25% 1
10 MATH JUSSIEU 11549 3% 1% 15

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 ANALYSIS GEOMETRY 27729 2% 5% 9
2 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 17247 3% 2% 18
3 STUDIES IN APPLIED MATHEMATICS 16622 3% 2% 18
4 PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 15308 6% 1% 33
5 THEORETICAL AND MATHEMATICAL PHYSICS 13851 7% 1% 35
6 MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 12981 1% 3% 8
7 INVERSE PROBLEMS 9560 4% 1% 24
8 NONLINEARITY 8443 4% 1% 22
9 IMA JOURNAL OF APPLIED MATHEMATICS 5647 2% 1% 12
10 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 4289 2% 1% 11

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 GLOBAL RELATION 573354 2% 92% 11 Search GLOBAL+RELATION Search GLOBAL+RELATION
2 RIEMANN HILBERT PROBLEM 458613 8% 18% 44 Search RIEMANN+HILBERT+PROBLEM Search RIEMANN+HILBERT+PROBLEM
3 RIEMANN HILBERT PROBLEMS 269602 4% 23% 21 Search RIEMANN+HILBERT+PROBLEMS Search RIEMANN+HILBERT+PROBLEMS
4 FOKAS METHOD 236922 1% 83% 5 Search FOKAS+METHOD Search FOKAS+METHOD
5 NONLINEAR STEEPEST DESCENT 236922 1% 83% 5 Search NONLINEAR+STEEPEST+DESCENT Search NONLINEAR+STEEPEST+DESCENT
6 UNIFIED TRANSFORM METHOD 236922 1% 83% 5 Search UNIFIED+TRANSFORM+METHOD Search UNIFIED+TRANSFORM+METHOD
7 FINITE GENUS SOLUTIONS 170585 1% 100% 3 Search FINITE+GENUS+SOLUTIONS Search FINITE+GENUS+SOLUTIONS
8 INVERSE SPECTRAL METHOD 170585 1% 100% 3 Search INVERSE+SPECTRAL+METHOD Search INVERSE+SPECTRAL+METHOD
9 TIME PERIODIC DATA 170585 1% 100% 3 Search TIME+PERIODIC+DATA Search TIME+PERIODIC+DATA
10 TRANSFORM METHOD 158214 1% 35% 8 Search TRANSFORM+METHOD Search TRANSFORM+METHOD

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 FOKAS, AS , LENELLS, J , (2012) THE UNIFIED METHOD: I. NONLINEARIZABLE PROBLEMS ON THE HALF-LINE.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 19. P. - 60 100% 18
2 FOKAS, AS , DE LILLO, S , (2014) THE UNIFIED TRANSFORM FOR LINEAR, LINEARIZABLE AND INTEGRABLE NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS.PHYSICA SCRIPTA. VOL. 89. ISSUE 3. P. - 56 98% 0
3 FOKAS, AS , PELLONI, B , (2012) THE DIRICHLET-TO-NEUMANN MAP FOR THE ELLIPTIC SINE-GORDON EQUATION.NONLINEARITY. VOL. 25. ISSUE 4. P. - 43 96% 10
4 FOKAS, AS , LENELLS, J , PELLONI, B , (2013) BOUNDARY VALUE PROBLEMS FOR THE ELLIPTIC SINE-GORDON EQUATION IN A SEMI-STRIP.JOURNAL OF NONLINEAR SCIENCE. VOL. 23. ISSUE 2. P. 241-282 37 97% 2
5 LENELLS, J , FOKAS, AS , (2015) THE NONLINEAR SCHRODINGER EQUATION WITH T-PERIODIC DATA: I. EXACT RESULTS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 471. ISSUE 2181. P. - 29 100% 0
6 TIAN, SF , (2017) INITIAL-BOUNDARY VALUE PROBLEMS FOR THE GENERAL COUPLED NONLINEAR SCHRODINGER EQUATION ON THE INTERVAL VIA THE FOKAS METHOD.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 1. P. 506 -558 31 84% 0
7 TIAN, SF , (2016) THE MIXED COUPLED NONLINEAR SCHRODINGER EQUATION ON THE HALF-LINE VIA THE FOKAS METHOD.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 472. ISSUE 2195. P. - 29 91% 0
8 XU, J , FAN, EG , (2016) INITIAL-BOUNDARY VALUE PROBLEM FOR INTEGRABLE NONLINEAR EVOLUTION EQUATION WITH 3 X 3 LAX PAIRS ON THE INTERVAL.STUDIES IN APPLIED MATHEMATICS. VOL. 136. ISSUE 3. P. 321 -354 19 100% 2
9 PELLONI, B , (2015) ADVANCES IN THE STUDY OF BOUNDARY VALUE PROBLEMS FOR NONLINEAR INTEGRABLE PDES.NONLINEARITY. VOL. 28. ISSUE 2. P. R1 -R38 25 83% 4
10 FOKAS, AS , SPENCE, EA , (2012) SYNTHESIS, AS OPPOSED TO SEPARATION, OF VARIABLES.SIAM REVIEW. VOL. 54. ISSUE 2. P. 291 -324 28 80% 14

Classes with closest relation at Level 1


Rank Class id link
1 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
2 18001 BOUSSINESQ SYSTEM//DISSIPATIVE NONLINEAR EVOLUTION EQUATION//KORTEWEG DE VRIES EQUATION
3 8784 FROBENIUS MANIFOLDS//WHITHAM EQUATIONS//HYDRODYNAMIC REDUCTIONS
4 30085 NON NEWTONIAN COMPRESSIBLE FLUID//VORTEX SHALLOW WATER//GENERALIZED BURGERS EQUATION
5 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
6 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
7 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
8 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
9 2093 ROGUE WAVES//DARBOUX TRANSFORMATION//OPT SCI GRP
10 6630 WRONSKIAN TECHNIQUE//STATE SOFTWARE DEV ENVIRONM//BACKLUND TRANSFORMATION

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