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. 19.7% 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%
- 9k per year above
- Top-10% rate
- 19.7% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +25% the tick is no change
Which countries lead Nonlinear Waves and Solitons research?
By volume, China and India publish the most (2.2k and 491 works in 2022–2025).
By volume, 2022–2025
- 1 China 2.2k works
- 2 India 491 works
- 3 United States 487 works
- 4 Russia 405 works
- 5 Saudi Arabia 402 works
- 6 Türkiye 360 works
- 7 Pakistan 303 works
- 8 Egypt 217 works
- 9 Japan 188 works
- 10 France 181 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.
Shares of the rows listed above, not of the whole node.
Which institutions lead Nonlinear Waves and Solitons research?
By volume in 2022–2025, China University of Mining and Technology publishes the most Nonlinear Waves and Solitons research, followed by Zhejiang Normal University and Henan Polytechnic University.
By volume, 2022–2025
- 1 China University of Mining and Technology China 62 works
- 2 Zhejiang Normal University China 59 works
- 3 Henan Polytechnic University China 51 works
- 4 Shandong University of Science and Technology China 50 works
- 5 Taibah University Saudi Arabia 47 works
- 6 University of the Punjab Pakistan 46 works
- 7 Beijing University of Posts and Telecommunications China 46 works
- 8 Ningbo University China 44 works
- 9 Biruni University Türkiye 39 works
- 10 Shanghai University China 37 works
Who are the leading researchers in Nonlinear Waves and Solitons?
The most-cited researchers publishing on Nonlinear Waves and Solitons include Heng Fan, Tasawar Hayat and Yuri S. Kivshar.
- 1 Heng Fan 5.5k citations
- 2 Tasawar Hayat 4.6k citations
- 3 Yuri S. Kivshar 3.3k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Nonlinear Waves and Solitons research done?
The largest centres of Nonlinear Waves and Solitons research in 2022–2025 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, 2022–2025
Where it is the local speciality
- ZeytinburnuTR · 38.6 works104×
- GujratPK · 21.8 works35×
- MedinaSA · 51.9 works34×
Location quotient: how much more of its research is in Nonlinear Waves and Solitons than the world average.
Where is the best place to study Nonlinear Waves and Solitons?
Among universities, judged by research, Taibah University, Henan Polytechnic University and COMSATS University Islamabad 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.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Taibah University Saudi Arabia | 82.3 | 39.7% | 42.0× | 47 | +911.0% |
| 2 | Henan Polytechnic University China | 81.0 | 64.9% | 24.6× | 51 | +81.7% |
| 3 | COMSATS University Islamabad Pakistan | 76.7 | 35.0% | 18.2× | 31 | +275.7% |
| 4 | University of the Punjab Pakistan | 73.8 | 28.4% | 21.8× | 46 | +552.8% |
| 5 | University of Gujrat Pakistan | 72.0 | 60.3% | 35.1× | 22 | — |
| 6 | University of Delhi India | 70.1 | 64.5% | 7.9× | 29 | +81.7% |
| 7 | Lebanese American University Lebanon | 69.7 | 40.4% | 29.1× | 24 | — |
| 8 | University of Duhok Iraq | 67.8 | 66.2% | 20.3× | 15 | — |
| 9 | Beijing University of Posts and Telecommunications China | 67.0 | 37.7% | 10.2× | 46 | +67.2% |
| 10 | Obour Institutes Egypt | 66.9 | 51.4% | 285.4× | 15 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Nonlinear Waves and Solitons research growing?
Output in 2018–2022 was 25% higher than in 2013–2017, peaking in 2022. The fastest-growing topics are Nonlinear Waves and Solitons.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
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.