Class information for:
Level 1: BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13307 846 21.5 42%


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
13307 1                   BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION 846

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 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY authKW 108277 0% 100% 3
2 KP II EQUATION authKW 96244 0% 67% 4
3 KADOMTSEV PETVIASHVILI EQUATION authKW 88244 2% 16% 15
4 LINE SOLITON authKW 81206 0% 75% 3
5 NIZHNIK VESELOV NOVIKOV EQUATION authKW 81206 0% 75% 3
6 KADOMTSEV PETVIASHVILI EQUATIONS authKW 75187 1% 42% 5
7 3D KP EQUATIONS authKW 72185 0% 100% 2
8 DYADIC DECOMPOSED STRICHARTZ ESTIMATE authKW 72185 0% 100% 2
9 HIROTA DIFFERENCE EQUATION authKW 72185 0% 100% 2
10 ISHIMORI MODEL authKW 72185 0% 100% 2

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 20368 43% 0% 366
2 Physics, Multidisciplinary 5638 38% 0% 320
3 Mathematics, Applied 5151 31% 0% 266
4 Mathematics 1516 19% 0% 164
5 Mathematics, Interdisciplinary Applications 33 2% 0% 16
6 Mechanics 11 2% 0% 20
7 Physics, Particles & Fields 10 2% 0% 18
8 Physics, Nuclear 6 2% 0% 14
9 Physics, Fluids & Plasmas 3 1% 0% 9
10 Acoustics 1 1% 0% 5

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 SEZ N OLI GC SALERNO 48122 0% 67% 2
2 CNRS GEOMET ALGEBR 36092 0% 100% 1
3 DIP INGN GEST INFORMAZ PROD 36092 0% 100% 1
4 DIP MATEMAT PURA PLICAZ 36092 0% 100% 1
5 ESCUELA INGN TECN AROENAUT 36092 0% 100% 1
6 NORWEGIAN TECHNOL MATH SCI 36092 0% 100% 1
7 RECH MATH DEC 36092 0% 100% 1
8 UNITE MIXTE RECH MATH 36092 0% 100% 1
9 UNIV FIS MATH 36092 0% 100% 1
10 CIENCIAS FIS METODOS MATEMAT FIS 36090 0% 50% 2

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 INVERSE PROBLEMS 27437 6% 1% 51
2 THEORETICAL AND MATHEMATICAL PHYSICS 21710 7% 1% 55
3 STUDIES IN APPLIED MATHEMATICS 13014 2% 2% 20
4 JOURNAL OF MATHEMATICAL PHYSICS 12349 9% 0% 74
5 PHYSICS LETTERS A 7953 10% 0% 85
6 ADVANCES IN ELECTRONICS AND ELECTRON PHYSICS 4730 1% 2% 6
7 PHYSICA D-NONLINEAR PHENOMENA 4108 3% 0% 27
8 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 4075 1% 1% 11
9 PHYSICA D 3922 1% 1% 9
10 LETTERS IN MATHEMATICAL PHYSICS 3647 2% 1% 18

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 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY 108277 0% 100% 3 Search BEST+CONSTANT+OF+THE+ANISOTROPIC+SOBOLEV+INEQUALITY Search BEST+CONSTANT+OF+THE+ANISOTROPIC+SOBOLEV+INEQUALITY
2 KP II EQUATION 96244 0% 67% 4 Search KP+II+EQUATION Search KP+II+EQUATION
3 KADOMTSEV PETVIASHVILI EQUATION 88244 2% 16% 15 Search KADOMTSEV+PETVIASHVILI+EQUATION Search KADOMTSEV+PETVIASHVILI+EQUATION
4 LINE SOLITON 81206 0% 75% 3 Search LINE+SOLITON Search LINE+SOLITON
5 NIZHNIK VESELOV NOVIKOV EQUATION 81206 0% 75% 3 Search NIZHNIK+VESELOV+NOVIKOV+EQUATION Search NIZHNIK+VESELOV+NOVIKOV+EQUATION
6 KADOMTSEV PETVIASHVILI EQUATIONS 75187 1% 42% 5 Search KADOMTSEV+PETVIASHVILI+EQUATIONS Search KADOMTSEV+PETVIASHVILI+EQUATIONS
7 3D KP EQUATIONS 72185 0% 100% 2 Search 3D+KP+EQUATIONS Search 3D+KP+EQUATIONS
8 DYADIC DECOMPOSED STRICHARTZ ESTIMATE 72185 0% 100% 2 Search DYADIC+DECOMPOSED+STRICHARTZ+ESTIMATE Search DYADIC+DECOMPOSED+STRICHARTZ+ESTIMATE
9 HIROTA DIFFERENCE EQUATION 72185 0% 100% 2 Search HIROTA+DIFFERENCE+EQUATION Search HIROTA+DIFFERENCE+EQUATION
10 ISHIMORI MODEL 72185 0% 100% 2 Search ISHIMORI+MODEL Search ISHIMORI+MODEL

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 KLEIN, C , SAUT, JC , (2012) NUMERICAL STUDY OF BLOW UP AND STABILITY OF SOLUTIONS OF GENERALIZED KADOMTSEV-PETVIASHVILI EQUATIONS.JOURNAL OF NONLINEAR SCIENCE. VOL. 22. ISSUE 5. P. 763 -811 45 63% 13
2 FOKAS, AS , (2009) KADOMTSEV-PETVIASHVILI EQUATION REVISITED AND INTEGRABILITY IN 4+2 AND 3+1.STUDIES IN APPLIED MATHEMATICS. VOL. 122. ISSUE 4. P. 347 -359 23 88% 2
3 MARTINA, L , PEMPINELLI, F , BOITI, M , (1995) MULTIDIMENSIONAL LOCALIZED SOLITONS.CHAOS SOLITONS & FRACTALS. VOL. 5. ISSUE 12. P. 2377 -2417 40 77% 21
4 VILLARROEL, J , PRADA, J , (2015) CONSIDERATIONS ON CONSERVED QUANTITIES AND BOUNDARY CONDITIONS OF THE 2+1-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION.PHYSICA D-NONLINEAR PHENOMENA. VOL. 300. ISSUE . P. 15 -25 21 64% 2
5 BOITI, M , PEMPINELLI, F , POGREBKOV, AK , (2006) SCATTERING TRANSFORM FOR NONSTATIONARY SCHRODINGER EQUATION WITH BIDIMENSIONALLY PERTURBED N-SOLITON POTENTIAL.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 47. ISSUE 12. P. - 15 100% 0
6 LI, JF , LI, X , (2017) WELL-POSEDNESS FOR THE FIFTH ORDER KP-II INITIAL DATA PROBLEM IN HS,0 (R X T).JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 2196 -2230 13 87% 0
7 BOITI, M , PEMPINELLI, F , POGREBKOV, AK , (2006) ON THE EXTENDED RESOLVENT OF THE NONSTATIONARY SCHRODINGER OPERATOR FOR A DARBOUX TRANSFORMED POTENTIAL.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 39. ISSUE 8. P. 1877-1898 14 100% 3
8 VILLARROEL, J , PRADA, J , ESTEVEZ, PG , (2016) DISCRETE SPECTRUM OF 2+1-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION AND DYNAMICS OF LUMPS.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 18 60% 0
9 GERDJIKOV, VS , YANOVSKI, AB , (2015) CBC SYSTEMS WITH MIKHAILOV REDUCTIONS BY COXETER AUTOMORPHISM: I. SPECTRAL THEORY OF THE RECURSION OPERATORS.STUDIES IN APPLIED MATHEMATICS. VOL. 134. ISSUE 2. P. 145 -180 16 64% 0
10 MOLINET, L , SAUT, JC , TZVETKOV, N , (2011) GLOBAL WELL-POSEDNESS FOR THE KP-II EQUATION ON THE BACKGROUND OF A NON-LOCALIZED SOLUTION.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 28. ISSUE 5. P. 653-676 14 78% 7

Classes with closest relation at Level 1


Rank Class id link
1 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
2 18752 GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS
3 6630 WRONSKIAN TECHNIQUE//STATE SOFTWARE DEV ENVIRONM//BACKLUND TRANSFORMATION
4 30024 WAVELENGTH DOUBLING INSTABILITY//21 DIMENSIONAL HNL SEQUATION//21 DIMENSIONAL HNLS EQUATION
5 4250 GMPIB//IMNC//UMR 8165
6 4300 INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA
7 21504 NONLOCAL NLS EQUATION//ALGEBRAIC ROSSBY SOLITARY WAVES//INTERFACIAL INTERNAL WAVES
8 31537 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
9 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM
10 15051 MOVING FRAME//DIFFERENTIAL INVARIANTS//PENTAGRAM MAP

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