Class information for:
Level 2: NONLINEAR SCHRODINGER EQUATIONS//STRICHARTZ ESTIMATES//I METHOD

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
1154 9048 20.7 49%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
219 46842 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//NONLINEAR SCHRODINGER EQUATIONS

Classes in level below (level 1)



ID, lev. below Publications Label for level below
1961 2343 STRICHARTZ ESTIMATES//HARTREE EQUATION//ENERGY CRITICAL
3986 1794 BOURGAIN SPACE//BOUSSINESQ SYSTEMS//KORTEWEG DE VRIES EQUATION
9554 1077 RLW EQUATION//MULTI SYMPLECTIC//MULTI SYMPLECTIC METHOD
12540 836 NULL CONDITION//SEMILINEAR DAMPED WAVE EQUATION//SEMILINEAR WAVE EQUATIONS
17389 538 NONLINEAR TRANSMISSION LINES NLTLS//MECAN MODELISAT SYST PHYS L2MSP//LEFT HANDED WAVES
19547 436 ELASTIC TUBES//MODIFIED REDUCTIVE PERTURBATION METHOD//PERTURBED KDV EQUATION
20260 406 SEMIGROUP OF LIPSCHITZ OPERATORS//SUBTANGENTIAL CONDITION//GENERALIZED GINZBURG LANDAU EQUATION
21325 364 MICROSTRUCTURED SOLIDS//LOCALIZED STRAIN WAVE//DUAL INTERNAL VARIABLES
23002 305 DISSIPATIVE NONLINEAR EVOLUTION EQUATION//LARGE TIME ASYMPTOTICS//FRACTAL BURGERS EQUATION
23187 300 NONLOCAL NLS EQUATION//WAVELENGTH DOUBLING INSTABILITY//ALGEBRAIC SOLITARY WAVE
23711 282 DAMPED BOUSSINESQ EQUATION//EXISTENCE OF GLOBAL SOLUTION//DOUBLE DISPERSION EQUATION
25251 238 GRIDDED ENERGY ANALYZER//CUBIC QUINTIC SCHRODINGER EQUATION//UNIDAD CERRILLO
31041 129 HERMITE TRANSFORMATION//HERMITE TRANSFORM//21 DIMENSIONAL STOCHASTIC BROER KAUP EQUATION

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 NONLINEAR SCHRODINGER EQUATIONS Author keyword 129 27% 4% 406
2 STRICHARTZ ESTIMATES Author keyword 104 66% 1% 96
3 I METHOD Author keyword 99 97% 0% 29
4 GLOBAL WELL POSEDNESS Author keyword 78 54% 1% 100
5 DISPERSIVE EQUATIONS Author keyword 65 76% 0% 45
6 SOLITARY WAVES Author keyword 62 25% 2% 214
7 FOURIER RESTRICTION NORM METHOD Author keyword 60 100% 0% 20
8 KORTEWEG DE VRIES EQUATION Author keyword 56 36% 1% 123
9 ZAKHAROV SYSTEM Author keyword 53 85% 0% 28
10 NULL CONDITION Author keyword 53 89% 0% 24

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 NONLINEAR SCHRODINGER EQUATIONS 129 27% 4% 406 Search NONLINEAR+SCHRODINGER+EQUATIONS Search NONLINEAR+SCHRODINGER+EQUATIONS
2 STRICHARTZ ESTIMATES 104 66% 1% 96 Search STRICHARTZ+ESTIMATES Search STRICHARTZ+ESTIMATES
3 I METHOD 99 97% 0% 29 Search I+METHOD Search I+METHOD
4 GLOBAL WELL POSEDNESS 78 54% 1% 100 Search GLOBAL+WELL+POSEDNESS Search GLOBAL+WELL+POSEDNESS
5 DISPERSIVE EQUATIONS 65 76% 0% 45 Search DISPERSIVE+EQUATIONS Search DISPERSIVE+EQUATIONS
6 SOLITARY WAVES 62 25% 2% 214 Search SOLITARY+WAVES Search SOLITARY+WAVES
7 FOURIER RESTRICTION NORM METHOD 60 100% 0% 20 Search FOURIER+RESTRICTION+NORM+METHOD Search FOURIER+RESTRICTION+NORM+METHOD
8 KORTEWEG DE VRIES EQUATION 56 36% 1% 123 Search KORTEWEG+DE+VRIES+EQUATION Search KORTEWEG+DE+VRIES+EQUATION
9 ZAKHAROV SYSTEM 53 85% 0% 28 Search ZAKHAROV+SYSTEM Search ZAKHAROV+SYSTEM
10 NULL CONDITION 53 89% 0% 24 Search NULL+CONDITION Search NULL+CONDITION

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 CAUCHY PROBLEM 280 32% 8% 736
2 GLOBAL WELL POSEDNESS 150 50% 2% 214
3 NONLINEAR SCHRODINGER EQUATIONS 118 19% 6% 568
4 HAMILTONIAN PDES 114 86% 1% 57
5 RADIAL DATA 109 92% 0% 44
6 DISPERSIVE EQUATIONS 107 76% 1% 74
7 ENERGY SPACE 105 82% 1% 62
8 3 SPACE DIMENSIONS 105 63% 1% 104
9 SMALL AMPLITUDE SOLUTIONS 104 79% 1% 67
10 KORTEWEG DEVRIES EQUATION 100 27% 4% 319

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 DIFFERENTIAL AND INTEGRAL EQUATIONS 25 17% 1% 129
2 ANALYSIS & PDE 12 22% 1% 48
3 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 11 17% 1% 57
4 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 9 21% 0% 36
5 ADVANCES IN DIFFERENTIAL EQUATIONS 6 12% 1% 48
6 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 3 12% 0% 28

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Numerical methods for Hamiltonian PDEs 2006 82 93 49%
Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg-de Vries equation 2011 6 46 93%
On asymptotic stability of ground states of NLS 2003 37 13 85%
Selection of the ground state for nonlinear Schrodinger equations 2004 49 33 64%
The reductive perturbation method and some of its applications 2008 36 113 32%
Solitons and collapses: two evolution scenarios of nonlinear wave systems 2012 13 40 28%
A unified approach to resolvent expansions at thresholds 2001 55 7 57%
Solitons in elastic solids (1938-2010) 2011 12 52 33%
Stability and instability of periodic travelling wave solutions for the critical Korteweg-de Vries and nonlinear Schrodinger equations 2009 5 22 86%
Asymptotic stability of nonlinear Schrodinger equations with potential 2005 16 27 81%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 UMR MATH 22 68% 0.2% 19
2 MATH SOFTWARE SCI 21 22% 0.9% 84
3 IHES 11 67% 0.1% 10
4 AGENCIA UEM 9 83% 0.1% 5
5 MECAN MODELISAT SYST PHYS L2MSP 9 83% 0.1% 5
6 UMR UHP 7502 6 80% 0.0% 4
7 SICHUAN PROV COMP SOFTWARE 4 67% 0.0% 4
8 VISUAL COMP VIRTUAL REAL 4 67% 0.0% 4
9 UNIV TECHNOL FOTSO VICTOR BANDJOUN 4 75% 0.0% 3
10 STOCHAST CHAOT PROC SCI TECHNOL 4 31% 0.1% 11

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000014580 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//EXP FUNCTION METHOD
2 0.0000014291 REGULARITY CRITERION//REGULARITY CRITERIA//GLOBAL ATTRACTOR
3 0.0000012559 DISCRETE BREATHERS//CONDON DOMAINS//INTRINSIC LOCALIZED MODES
4 0.0000012546 P HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATIONS
5 0.0000012536 DELTA SHOCK WAVE//ALGEBRAS OF GENERALIZED FUNCTIONS//EVANS FUNCTION
6 0.0000012037 NULL CONTROLLABILITY//GENERAL DECAY//EXACT CONTROLLABILITY
7 0.0000010244 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
8 0.0000007805 SCHRODINGER OPERATORS//ANNALES HENRI POINCARE//RANDOM SCHRODINGER OPERATORS
9 0.0000007725 SPATIAL SOLITONS//SPATIAL SOLITON//SOLID STATE THEORY THEORET OPT
10 0.0000007544 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS