Class information for:
Level 1: NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3538 1962 22.0 46%


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
3538 1                   NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS 1962

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 NONLINEAR SELF ADJOINTNESS authKW 389031 2% 83% 30
2 CONSERVATION LAWS authKW 310013 10% 10% 205
3 EQUIVALENCE TRANSFORMATIONS authKW 288077 2% 51% 36
4 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT address 280322 4% 23% 77
5 NONCLASSICAL SYMMETRY authKW 280109 1% 100% 18
6 NONLOCAL SYMMETRY authKW 278431 1% 62% 29
7 OPTIMAL SYSTEM authKW 245681 2% 53% 30
8 CONDITIONAL LIE BACKLUND SYMMETRY authKW 233424 1% 100% 15
9 GROUP CLASSIFICATION authKW 231519 2% 40% 37
10 GENERALIZED CONDITIONAL SYMMETRY authKW 221317 1% 89% 16

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 28888 34% 0% 667
2 Mathematics, Applied 14334 34% 0% 673
3 Physics, Multidisciplinary 6411 27% 0% 531
4 Mathematics, Interdisciplinary Applications 1779 7% 0% 142
5 Mechanics 1772 11% 0% 221
6 Mathematics 1702 14% 0% 275
7 Physics, Fluids & Plasmas 643 5% 0% 97
8 Engineering, General 384 4% 0% 76
9 Computer Science, Interdisciplinary Applications 76 2% 0% 46
10 Engineering, Mechanical 16 2% 0% 37

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 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT 280322 4% 23% 77
2 SHANGHAI TRUSTWORTHY COMP 148595 3% 18% 53
3 GRP ANAL MATH MODELS NAT ENGN SCI 72409 1% 42% 11
4 INT SYMMETRY ANAL MATH MODELLING 57458 1% 17% 22
5 ALGA ADV LIE GRP ANAL 49788 0% 40% 8
6 NONLINEAR SCI 46860 4% 4% 78
7 COMPUTAT PL MATH 41365 3% 4% 62
8 SYMMETRY ANAL MATH MODELLING 35012 0% 75% 3
9 MATEMAT ESTAT COMPUTACAO CIENT IMECC 31123 0% 100% 2
10 NONLINEAR SCI STUDIES 29863 1% 15% 13

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 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 30238 4% 2% 85
2 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 26910 2% 4% 43
3 COMMUNICATIONS IN THEORETICAL PHYSICS 26797 6% 1% 117
4 JOURNAL OF MATHEMATICAL PHYSICS 23029 8% 1% 154
5 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 18635 7% 1% 138
6 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 15954 3% 2% 58
7 ACTA APPLICANDAE MATHEMATICAE 15420 2% 2% 46
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6694 5% 0% 96
9 INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 6286 2% 1% 42
10 REPORTS ON MATHEMATICAL PHYSICS 5935 1% 2% 20

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 NONLINEAR SELF ADJOINTNESS 389031 2% 83% 30 Search NONLINEAR+SELF+ADJOINTNESS Search NONLINEAR+SELF+ADJOINTNESS
2 CONSERVATION LAWS 310013 10% 10% 205 Search CONSERVATION+LAWS Search CONSERVATION+LAWS
3 EQUIVALENCE TRANSFORMATIONS 288077 2% 51% 36 Search EQUIVALENCE+TRANSFORMATIONS Search EQUIVALENCE+TRANSFORMATIONS
4 NONCLASSICAL SYMMETRY 280109 1% 100% 18 Search NONCLASSICAL+SYMMETRY Search NONCLASSICAL+SYMMETRY
5 NONLOCAL SYMMETRY 278431 1% 62% 29 Search NONLOCAL+SYMMETRY Search NONLOCAL+SYMMETRY
6 OPTIMAL SYSTEM 245681 2% 53% 30 Search OPTIMAL+SYSTEM Search OPTIMAL+SYSTEM
7 CONDITIONAL LIE BACKLUND SYMMETRY 233424 1% 100% 15 Search CONDITIONAL+LIE+BACKLUND+SYMMETRY Search CONDITIONAL+LIE+BACKLUND+SYMMETRY
8 GROUP CLASSIFICATION 231519 2% 40% 37 Search GROUP+CLASSIFICATION Search GROUP+CLASSIFICATION
9 GENERALIZED CONDITIONAL SYMMETRY 221317 1% 89% 16 Search GENERALIZED+CONDITIONAL+SYMMETRY Search GENERALIZED+CONDITIONAL+SYMMETRY
10 SYMMETRY REDUCTION 215154 2% 30% 46 Search SYMMETRY+REDUCTION Search SYMMETRY+REDUCTION

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 HUANG, DJ , ZHOU, SG , (2012) GROUP-THEORETICAL ANALYSIS OF VARIABLE COEFFICIENT NONLINEAR TELEGRAPH EQUATIONS.ACTA APPLICANDAE MATHEMATICAE. VOL. 117. ISSUE 1. P. 135-183 48 92% 3
2 JI, LN , (2016) CONDITIONAL LIE-BACKLUND SYMMETRIES AND DIFFERENTIAL CONSTRAINTS FOR INHOMOGENEOUS NONLINEAR DIFFUSION EQUATIONS DUE TO LINEAR DETERMINING EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 440. ISSUE 1. P. 286 -299 38 97% 0
3 JI, LN , QU, CZ , (2013) CONDITIONAL LIE-BACKLUND SYMMETRIES AND INVARIANT SUBSPACES TO NONLINEAR DIFFUSION EQUATIONS WITH CONVECTION AND SOURCE.STUDIES IN APPLIED MATHEMATICS. VOL. 131. ISSUE 3. P. 266-301 40 95% 4
4 JI, LN , (2016) THE METHOD OF LINEAR DETERMINING EQUATIONS TO EVOLUTION SYSTEM AND APPLICATION FOR REACTION-DIFFUSION SYSTEM WITH POWER DIFFUSIVITIES.SYMMETRY-BASEL. VOL. 8. ISSUE 12. P. - 35 97% 0
5 QU, CZ , JI, LN , (2013) INVARIANT SUBSPACES AND CONDITIONAL LIE-BACKLUND SYMMETRIES OF INHOMOGENEOUS NONLINEAR DIFFUSION EQUATIONS.SCIENCE CHINA-MATHEMATICS. VOL. 56. ISSUE 11. P. 2187-2203 35 100% 3
6 HASHEMI, MS , NUCCI, MC , (2013) NONCLASSICAL SYMMETRIES FOR A CLASS OF REACTION-DIFFUSION EQUATIONS: THE METHOD OF HEIR-EQUATIONS.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 20. ISSUE 1. P. 44-60 36 92% 6
7 WANG, JP , JIA, LN , (2015) CONDITIONAL LIE-BACKLUND SYMMETRY, SECOND-ORDER DIFFERENTIAL CONSTRAINT AND DIRECT REDUCTION OF DIFFUSION SYSTEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 427. ISSUE 2. P. 1101 -1118 30 100% 2
8 HUANG, Q , QU, CZ , ZHDANOV, R , (2011) GROUP-THEORETICAL FRAMEWORK FOR POTENTIAL SYMMETRIES OF EVOLUTION EQUATIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 2. P. - 40 85% 1
9 SU, KQ , CAO, J , (2017) THIRD-ORDER CONDITIONAL LIE-BACKLUND SYMMETRIES OF NONLINEAR REACTION-DIFFUSION EQUATIONS.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 27 100% 0
10 HUANG, DJ , ZHOU, SG , (2010) GROUP PROPERTIES OF GENERALIZED QUASI-LINEAR WAVE EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 366. ISSUE 2. P. 460-472 36 88% 1

Classes with closest relation at Level 1


Rank Class id link
1 25986 GENERALIZED SEPARABLE SOLUTIONS//FUNCTIONAL SEPARABLE SOLUTIONS//DELAY REACTION DIFFUSION EQUATIONS
2 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
3 34768 ERGODIC INVARIANTS//ERGODIC PARAMETERS//GRADIENT HAMILTONIAN DECOMPOSITION
4 30085 NON NEWTONIAN COMPRESSIBLE FLUID//VORTEX SHALLOW WATER//GENERALIZED BURGERS EQUATION
5 79 SOLITARY WAVE SOLUTION//EXP FUNCTION METHOD//NONLINEAR EVOLUTION EQUATIONS
6 25983 GLOBAL EMBEDDING//PROLONGATION STRUCTURE//COVARIANT PROLONGATION STRUCTURE
7 32776 BOUNDARY DIFFERENTIAL EQUATIONS//THEORY OF NONLOCAL ELASTICITY//THERMODYNAMICS OF RELAXATIONS
8 23134 TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND
9 26923 METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES
10 10651 CONSERVED QUANTITY//MEI SYMMETRY//MATH MECH MATH PHYS

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