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Topic · Statistical and Nonlinear Physics

Nonlinear Waves and Solitons

Nonlinear Waves and Solitons is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 46k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the study of rogue waves in nonlinear systems, including their generation, dynamics, and properties. It explores various mathematical and physical aspects such as soliton solutions, integrable equations, modulation instability, and optical solitons in the context of rogue wave phenomena.

  • Rogue Waves
  • Nonlinear Equations
  • Soliton Solutions
  • Integrable Equations
  • Modulation Instability
  • Nonlinear Schrödinger Equation
  • Camassa–Holm Equation
  • Periodic Wave Solutions
  • Optical Solitons
  • Integrable Turbulence
Research works
46k
fractional, since 1950
In the world top 10%
4.6k
per year above
Top-10% rate
10.1%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+19%
the tick is no change
Largest producer
China
43% of the 10 largest, 2022-now
Nonlinear Waves and Solitons

Which countries lead Nonlinear Waves and Solitons research?

By volume, China and India publish the most (2.5k and 567 works in 2022-now).

By volume, 2022-now

  1. 1 China 2.5k works
  2. 2 India 567 works
  3. 3 United States 552 works
  4. 4 Saudi Arabia 465 works
  5. 5 Russia 442 works
  6. 6 Türkiye 402 works
  7. 7 Pakistan 330 works
  8. 8 Egypt 237 works
  9. 9 Japan 207 works
  10. 10 France 198 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 42.7%India: 9.6%United States: 9.3%Saudi Arabia: 7.8%6 others listed: 30.6%43%largest
China2,531 · 42.7%India567 · 9.6%United States552 · 9.3%Saudi Arabia465 · 7.8%6 others listed1,815 · 30.6%

Shares of the rows listed above, not of the whole node.

Which institutions lead Nonlinear Waves and Solitons research?

By volume in 2022-now, Russian Academy of Sciences publishes the most Nonlinear Waves and Solitons research, followed by Centre National de la Recherche Scientifique and China University of Mining and Technology.

By volume, 2022-now

  1. 1 Russian Academy of SciencesRussia 159 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 102 works
  3. 3 China University of Mining and TechnologyChina 71 works
  4. 4 Zhejiang Normal UniversityChina 66 works
  5. 5 Henan Polytechnic UniversityChina 55 works
  6. 6 Chinese Academy of SciencesChina 54 works
  7. 7 Shandong University of Science and TechnologyChina 53 works
  8. 8 Taibah UniversitySaudi Arabia 51 works
  9. 9 University of the PunjabPakistan 49 works
  10. 10 Ningbo UniversityChina 48 works

Who are the leading researchers in Nonlinear Waves and Solitons?

The most-cited researchers publishing on Nonlinear Waves and Solitons include John C. Morris, Donald G. Truhlar and Edward H. Witten.

  1. 1 John C. Morris United States 241k citations
  2. 2 Donald G. Truhlar United States 230k citations
  3. 3 Edward H. Witten United States 174k citations
  4. 4 B. S. Acharya France 164k citations
  5. 5 Han Zhang China 161k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Nonlinear Waves and Solitons?

The most cited paper in Nonlinear Waves and Solitons is "Infinite conformal symmetry in two-dimensional quantum field theory" (Alexander A. Belavin, Andrey Polyakov, A. B. Zamolodchikov, 1984), with 4,909 citations. Next come "CONTINUOUS INSPECTION SCHEMES" (4,771) and "Two soluble models of an antiferromagnetic chain" (4,350).

Most cited papers
#PaperReleasedCitations
1 Infinite conformal symmetry in two-dimensional quantum field theory Alexander A. Belavin, Andrey Polyakov, A. B. Zamolodchikov · Nuclear Physics B Jul 1984 4,909
2 CONTINUOUS INSPECTION SCHEMES E. S. Page · Biometrika 1954 4,771
3 Two soluble models of an antiferromagnetic chain Elliott Lieb, T. D. Schultz, Daniel Charles Mattis · Annals of Physics Dec 1961 4,350
4 An integrable shallow water equation with peaked solitons Roberto Camassa, Darryl D. Holm · Physical Review Letters Open access 13 Sep 1993 3,754
5 Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State F. D. M. Haldane · Physical Review Letters 11 Apr 1983 3,733
All 100 most cited papers, with filters and sorting

Where is Nonlinear Waves and Solitons research done?

The largest centres of Nonlinear Waves and Solitons research in 2022-now are Beijing (China), Moscow (Russia), Shanghai (China) and Cairo (Egypt). Among places with at least 20 works in it, it is an unusually large share of all research in Zeytinburnu, Gujrat and Medina.

Largest cities, 2022-now

  1. 1 BeijingChina 344 works
  2. 2 MoscowRussia 246 works
  3. 3 ShanghaiChina 198 works
  4. 4 CairoEgypt 125 works
  5. 5 RiyadhSaudi Arabia 116 works
  6. 6 LahorePakistan 103 works
  7. 7 ChengduChina 96 works
  8. 8 HangzhouChina 86 works
  9. 9 GuangzhouChina 86 works
  10. 10 IstanbulTürkiye 85 works

Where it is the local speciality

  1. ZeytinburnuTR · 42.0 works94×
  2. GujratPK · 23.0 works33×
  3. MedinaSA · 56.8 works31×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Nonlinear Waves and Solitons than the world average.

See Nonlinear Waves and Solitons on the map

Where is the best place to study Nonlinear Waves and Solitons?

Among universities, judged by research, Henan Polytechnic University, Taibah University and University of Duhok score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%60%mean 37.88%fractional works in this field (log) →share of work in the world top 10% →University of DuhokHenan Polytechnic Un…University of DelhiTaibah University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Henan Polytechnic UniversityChina 81.949.8%26.3×55 +135.6%
2Taibah UniversitySaudi Arabia 76.628.4%45.2×51 +25.1%
3University of DuhokIraq 73.052.1%26.9×19 +741.2%
4University of DelhiIndia 72.749.7%6.5×33 +48.2%
5University of GujratPakistan 72.143.2%37.2×23 +271.9%
6Obour InstitutesEgypt 70.544.6%289.4×15 +125.8%
7Biruni UniversityTürkiye 67.425.3%114.2×42 +466.3%
8Higher Institute of EngineeringEgypt 66.834.2%41.1×20 +436.2%
9COMSATS University IslamabadPakistan 65.422.3%19.5×33 +86.7%
10Prince Sattam Bin Abdulaziz UniversitySaudi Arabia 65.229.2%11.7×22 +130.2%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Nonlinear Waves and Solitons, country by country

Is Nonlinear Waves and Solitons research growing?

Output in 2022-2025 was 19% higher than in 2018-2021, peaking in 2022. The fastest-growing topics are Nonlinear Waves and Solitons.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Nonlinear Waves and Solitons as a percentage of every work published that year, 0.035% in 2024.

still counting0.025%0.050%0.075%Nonlinear Waves and Solitons0.031% in 202519801990200020102020

Fractional works of Nonlinear Waves and Solitons over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Nonlinear Waves and Solitons10.2% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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