Class information for:
Level 1: GENERALIZED SEPARABLE SOLUTIONS//FUNCTIONAL SEPARABLE SOLUTIONS//DELAY REACTION DIFFUSION EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25986 266 19.5 25%


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
3698 2             RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS//CHAIR QUANTUM STAT FIELD THEORY//BOSE EINSTEIN DISTRIBUTION 1104
25986 1                   GENERALIZED SEPARABLE SOLUTIONS//FUNCTIONAL SEPARABLE SOLUTIONS//DELAY REACTION DIFFUSION EQUATIONS 266

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 GENERALIZED SEPARABLE SOLUTIONS authKW 929832 3% 90% 9
2 FUNCTIONAL SEPARABLE SOLUTIONS authKW 703114 3% 88% 7
3 DELAY REACTION DIFFUSION EQUATIONS authKW 624988 3% 78% 7
4 EQUIVALENCE LIE GROUP authKW 573972 2% 100% 5
5 GENERALIZED AND FUNCTIONAL SEPARABLE SOLUTIONS authKW 459177 2% 100% 4
6 UNSTEADY AXISYMMETRIC BOUNDARY LAYER authKW 459177 2% 100% 4
7 DELAY PARTIAL DIFFERENTIAL EQUATIONS authKW 374987 3% 47% 7
8 FLUIDS WITH INTERNAL INERTIA authKW 344383 1% 100% 3
9 INVARIANT SUBMODELS authKW 344383 1% 100% 3
10 NONLINEAR REACTION DIFFUSION EQUATIONS WITH DELAY authKW 344383 1% 100% 3

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 Mechanics 4844 47% 0% 124
2 Mathematics, Applied 1933 34% 0% 91
3 Physics, Mathematical 481 12% 0% 33
4 Multidisciplinary Sciences 314 6% 0% 16
5 Mathematics 271 15% 0% 40
6 Physics, Multidisciplinary 197 14% 0% 37
7 Physics, Fluids & Plasmas 197 7% 0% 19
8 Mathematics, Interdisciplinary Applications 85 5% 0% 12
9 Engineering, Chemical 38 6% 0% 17
10 Physics, Applied 12 8% 0% 20

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 KFKI AEKI 153058 1% 67% 2
2 PROBLEMS MECH 144951 14% 3% 38
3 LAVRENTEV HYDRODYNAM SB 114794 0% 100% 1
4 MATH BASIC INFORMAT 114794 0% 100% 1
5 INGN MATH INFORMAT 57396 0% 50% 1
6 ISHLINSKII PROBLEMS MECH 50653 3% 6% 8
7 MATH FUNDAMENTAL INFORMAT 38263 0% 33% 1
8 WIGNER 32791 2% 7% 4
9 FLOW CONTROL PREDICT GRP 28697 0% 25% 1
10 A ISHLINSKI PROBLEMS MECH 19131 0% 17% 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 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 65692 13% 2% 34
2 JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS 22495 5% 1% 14
3 THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING 18006 6% 1% 17
4 DOKLADY PHYSICS 14850 6% 1% 17
5 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 12682 7% 1% 19
6 FLUID DYNAMICS 7409 3% 1% 9
7 EVOLUTION EQUATIONS AND CONTROL THEORY 2762 1% 1% 2
8 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 2739 2% 0% 5
9 DOKLADY MATHEMATICS 2391 3% 0% 8
10 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2241 2% 0% 6

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 GENERALIZED SEPARABLE SOLUTIONS 929832 3% 90% 9 Search GENERALIZED+SEPARABLE+SOLUTIONS Search GENERALIZED+SEPARABLE+SOLUTIONS
2 FUNCTIONAL SEPARABLE SOLUTIONS 703114 3% 88% 7 Search FUNCTIONAL+SEPARABLE+SOLUTIONS Search FUNCTIONAL+SEPARABLE+SOLUTIONS
3 DELAY REACTION DIFFUSION EQUATIONS 624988 3% 78% 7 Search DELAY+REACTION+DIFFUSION+EQUATIONS Search DELAY+REACTION+DIFFUSION+EQUATIONS
4 EQUIVALENCE LIE GROUP 573972 2% 100% 5 Search EQUIVALENCE+LIE+GROUP Search EQUIVALENCE+LIE+GROUP
5 GENERALIZED AND FUNCTIONAL SEPARABLE SOLUTIONS 459177 2% 100% 4 Search GENERALIZED+AND+FUNCTIONAL+SEPARABLE+SOLUTIONS Search GENERALIZED+AND+FUNCTIONAL+SEPARABLE+SOLUTIONS
6 UNSTEADY AXISYMMETRIC BOUNDARY LAYER 459177 2% 100% 4 Search UNSTEADY+AXISYMMETRIC+BOUNDARY+LAYER Search UNSTEADY+AXISYMMETRIC+BOUNDARY+LAYER
7 DELAY PARTIAL DIFFERENTIAL EQUATIONS 374987 3% 47% 7 Search DELAY+PARTIAL+DIFFERENTIAL+EQUATIONS Search DELAY+PARTIAL+DIFFERENTIAL+EQUATIONS
8 FLUIDS WITH INTERNAL INERTIA 344383 1% 100% 3 Search FLUIDS+WITH+INTERNAL+INERTIA Search FLUIDS+WITH+INTERNAL+INERTIA
9 INVARIANT SUBMODELS 344383 1% 100% 3 Search INVARIANT+SUBMODELS Search INVARIANT+SUBMODELS
10 NONLINEAR REACTION DIFFUSION EQUATIONS WITH DELAY 344383 1% 100% 3 Search NONLINEAR+REACTION+DIFFUSION+EQUATIONS+WITH+DELAY Search NONLINEAR+REACTION+DIFFUSION+EQUATIONS+WITH+DELAY

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 POLYANIN, AD , ZHUROV, AI , (2016) ONE-DIMENSIONAL REDUCTIONS AND FUNCTIONAL SEPARABLE SOLUTIONS TO UNSTEADY PLANE AND AXISYMMETRIC BOUNDARY-LAYER EQUATIONS FOR NON-NEWTONIAN FLUIDS.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 85. ISSUE . P. 70 -80 28 78% 0
2 POLYANIN, AD , ZHUROV, AI , (2016) NON-ISOTHERMAL FLOWS OF LIQUID METALS AND MELTS: QUALITATIVE FEATURES, ASYMPTOTIC MODELS, PROBLEMS, EXACT AND APPROXIMATE SOLUTIONS.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 82. ISSUE . P. 104 -113 25 81% 0
3 POLYANIN, AD , ZHUROV, AI , (2016) FUNCTIONAL AND GENERALIZED SEPARABLE SOLUTIONS TO UNSTEADY NAVIER-STOKES EQUATIONS.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 79. ISSUE . P. 88 -98 31 65% 0
4 POLYANIN, AD , ZHUROV, AI , (2016) DIRECT FUNCTIONAL SEPARATION OF VARIABLES AND NEW EXACT SOLUTIONS TO AXISYMMETRIC UNSTEADY BOUNDARY-LAYER EQUATIONS.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 31. ISSUE 1-3. P. 11 -20 23 77% 0
5 POLYANIN, AD , ZHUROV, AI , (2015) UNSTEADY AXISYMMETRIC BOUNDARY-LAYER EQUATIONS: TRANSFORMATIONS, PROPERTIES, EXACT SOLUTIONS, ORDER REDUCTION AND SOLUTION METHOD.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 74. ISSUE . P. 40 -50 22 73% 2
6 POLYANIN, AD , (2015) TRANSFORMATIONS, PROPERTIES, AND EXACT SOLUTIONS OF NONSTATIONARY AXISYMMETRIC BOUNDARY-LAYER EQUATIONS.THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING. VOL. 49. ISSUE 4. P. 406 -413 19 83% 2
7 LONG, FS , MELESHKO, SV , (2016) ON THE COMPLETE GROUP CLASSIFICATION OF THE ONE-DIMENSIONAL NONLINEAR KLEIN-GORDON EQUATION WITH A DELAY.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 12. P. 3255 -3270 12 92% 0
8 POLYANIN, AD , VYAZMIN, AV , (2013) DECOMPOSITION AND EXACT SOLUTIONS OF THREE-DIMENSIONAL NONSTATIONARY LINEARIZED EQUATIONS FOR A VISCOUS FLUID.THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING. VOL. 47. ISSUE 2. P. 114 -123 11 100% 2
9 KULIKOVSKII, AG , CHUGAINOVA, AP , SVESHNIKOVA, EI , (2006) ON THE NONUNIQUENESS OF SOLUTIONS TO THE NONLINEAR EQUATIONS OF ELASTICITY THEORY.JOURNAL OF ENGINEERING MATHEMATICS. VOL. 55. ISSUE 1-4. P. 97-110 11 100% 0
10 CHIRKUNOV, YA , (2016) INVARIANT SOLUTIONS OF THE WESTERVELT MODEL OF NONLINEAR HYDROACOUSTICS WITHOUT DISSIPATION.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 85. ISSUE . P. 41 -53 9 82% 0

Classes with closest relation at Level 1


Rank Class id link
1 3538 NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS
2 25210 MASLOV CANONICAL OPERATOR//SPECTRAL CLUSTER//RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
3 31253 LOCAL SUPERSONIC REGIONS//TRI TREE//A PRIORI PIVOTING
4 34768 ERGODIC INVARIANTS//ERGODIC PARAMETERS//GRADIENT HAMILTONIAN DECOMPOSITION
5 7606 THIRD GRADE FLUID//SECOND GRADE FLUID//GENERALIZED SECOND GRADE FLUID
6 31607 NON LOCAL HAMILTONIAN FIELD THEORY//CONLEY MOSER CONDITION//COULOMBIAN AND NEWTONIAN FLUIDS
7 17300 EULER POISSON EQUATIONS//EULER POISSON SYSTEM//QUASI NEUTRAL LIMIT
8 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
9 35082 DUNN FOSDICK RAJAGOPAL HYPOTHESIS//KIRCHHOFF AND BATCHELORS VORTEX PATCHES//STRAKHOVITCH FLOW
10 35550 SUBQUANTUM KINETICS//BIMETRIC MODEL//GRAVITY IN A FLAT SPACE TIME

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