Class information for:
Level 1: DISPERSIVE SHOCK WAVES//WHITHAM EQUATIONS//RIEMANN HILBERT PROBLEM

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
289 3       PHYSICS, MATHEMATICAL//SOLITONS//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 42790
124 2             SOLITON SOLUTION//PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION 23922
11804 1                   DISPERSIVE SHOCK WAVES//WHITHAM EQUATIONS//RIEMANN HILBERT PROBLEM 981

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DISPERSIVE SHOCK WAVES authKW 386837 2% 71% 17
2 WHITHAM EQUATIONS authKW 342663 2% 67% 16
3 RIEMANN HILBERT PROBLEM authKW 302406 5% 19% 49
4 GLOBAL RELATION authKW 267711 1% 83% 10
5 RIEMANN HILBERT PROBLEMS authKW 251825 3% 28% 28
6 DISPERSIVE SHOCKS authKW 178467 1% 56% 10
7 FOKAS METHOD authKW 165216 1% 86% 6
8 UNIFIED TRANSFORM METHOD authKW 165216 1% 86% 6
9 NONLINEAR STEEPEST DESCENT authKW 133855 1% 83% 5
10 INVERSE SPECTRAL METHOD authKW 96377 0% 100% 3

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 18984 39% 0% 381
2 Mathematics, Applied 11578 43% 0% 424
3 Physics, Multidisciplinary 4148 30% 0% 298
4 Mathematics 2952 25% 0% 242
5 Optics 112 6% 0% 58
6 Mechanics 74 4% 0% 40
7 Physics, Fluids & Plasmas 41 2% 0% 21
8 Multidisciplinary Sciences 37 1% 0% 13
9 Physics, Atomic, Molecular & Chemical 28 3% 0% 34
10 BIOLOGY, MISCELLANEOUS 27 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ELECT ENGN PL MATH COMPUTAT SCI 44612 1% 28% 5
2 PRIMALIGHT 35036 1% 18% 6
3 PHYS MATH THOR 32126 0% 100% 1
4 UFA SCI MATH 32126 0% 100% 1
5 PL MATH THEORET PHYS 28544 7% 1% 67
6 SPECT 19395 5% 1% 45
7 URA 768 18355 0% 29% 2
8 GEOMETR METHODS MATH PHYS 17003 0% 18% 3
9 EARTH MAGNETISM IONOSPHERE RADIOWAVE PROPA 16062 0% 50% 1
10 INFORMAT SCI INFORMAT TECHNOL 16062 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 39726 5% 3% 45
2 PHYSICA D-NONLINEAR PHENOMENA 19176 6% 1% 62
3 STUDIES IN APPLIED MATHEMATICS 19168 3% 2% 26
4 THEORETICAL AND MATHEMATICAL PHYSICS 18902 6% 1% 55
5 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 18551 1% 6% 10
6 PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 9851 4% 1% 36
7 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 9656 2% 2% 18
8 MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 8459 1% 3% 9
9 NONLINEARITY 7476 3% 1% 28
10 JOURNAL OF NONLINEAR SCIENCE 5877 1% 2% 11

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DISPERSIVE SHOCK WAVES 386837 2% 71% 17 Search DISPERSIVE+SHOCK+WAVES Search DISPERSIVE+SHOCK+WAVES
2 WHITHAM EQUATIONS 342663 2% 67% 16 Search WHITHAM+EQUATIONS Search WHITHAM+EQUATIONS
3 RIEMANN HILBERT PROBLEM 302406 5% 19% 49 Search RIEMANN+HILBERT+PROBLEM Search RIEMANN+HILBERT+PROBLEM
4 GLOBAL RELATION 267711 1% 83% 10 Search GLOBAL+RELATION Search GLOBAL+RELATION
5 RIEMANN HILBERT PROBLEMS 251825 3% 28% 28 Search RIEMANN+HILBERT+PROBLEMS Search RIEMANN+HILBERT+PROBLEMS
6 DISPERSIVE SHOCKS 178467 1% 56% 10 Search DISPERSIVE+SHOCKS Search DISPERSIVE+SHOCKS
7 FOKAS METHOD 165216 1% 86% 6 Search FOKAS+METHOD Search FOKAS+METHOD
8 UNIFIED TRANSFORM METHOD 165216 1% 86% 6 Search UNIFIED+TRANSFORM+METHOD Search UNIFIED+TRANSFORM+METHOD
9 NONLINEAR STEEPEST DESCENT 133855 1% 83% 5 Search NONLINEAR+STEEPEST+DESCENT Search NONLINEAR+STEEPEST+DESCENT
10 INVERSE SPECTRAL METHOD 96377 0% 100% 3 Search INVERSE+SPECTRAL+METHOD Search INVERSE+SPECTRAL+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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 23333 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
2 7218 FROBENIUS MANIFOLDS//ADDITIONAL SYMMETRY//TAU FUNCTION
3 12045 REDUCTION GROUP//KADOMTSEV PETVIASHVILI EQUATION//KP II EQUATION
4 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
5 32862 CONLEY MOSER CONDITION//ENERGY EXCHANGE IN TWO COMPONENT SYSTEMS//EQUATION SECONDAIRE
6 18031 BOUSSINESQ SYSTEM//KORTEWEG DE VRIES EQUATION//DISSIPATIVE NONLINEAR EVOLUTION EQUATION
7 22694 NONLOCAL NLS EQUATION//WAVELENGTH DOUBLING INSTABILITY//NORMAL FORM EXPANSION
8 26267 MICROSTRUCTURED SOLIDS//LOCALIZED STRAIN WAVE//HIDDEN SOLITONS
9 6639 PAINLEVE EQUATIONS//GMPIB//DISCRETE PAINLEVE EQUATIONS
10 32159 SHALLOW WATER EQUATIONS ON A SPHERE//VORTEX SHALLOW WATER//GENERALIZED BURGERS EQUATION

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