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Maruno Lab
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The lab uses numerical computation to unravel the mathematics of nonlinear waves and integrable systems.

AboutAbout the lab
Reading the motion of complex waves through mathematics
The Maruno Lab focuses on nonlinear waves and applied integrable systems.
The lab uses mathematics to theoretically analyze complex natural phenomena such as water waves.
It also develops numerical computation and simulation techniques for solving nonlinear mathematical models.
The lab also hosts lectures and seminars with researchers invited from abroad.
Key terms
- Integrable system
- A family of nonlinear equations with the special property that they can be solved exactly
- Nonlinear wave
- A wave with complex behavior, in which height and speed are not related by a simple proportion
- Soliton
- A special kind of wave that travels long distances while keeping its shape
NewsLab news
A paper by Professor Maruno and colleagues was published in Nonlinearity
A student received the Best Poster Award at the workshop "From Nonlinear Waves to Integrable Systems"
A student received an Outstanding Poster Award at the Annual Meeting of the Japan Society for Industrial and Applied Mathematics
A paper by Professor Maruno and colleagues was published in Physica D: Nonlinear Phenomena
A paper by Professor Maruno and colleagues was published in Journal of Physics A: Mathematical and Theoretical
ResearchResearch themes
The lab conducts research centered on nonlinear waves, applied integrable systems, solitons, fluid dynamics, nonlinear dynamical systems, mathematical physics, and numerical simulation. It uses mathematics to theoretically analyze nonlinear mathematical models related to a wide range of natural phenomena.
*Illustrative imageSimulation of water waves
The lab develops new simulation methods for analyzing complex nonlinear phenomena, including water waves.
*Illustrative imageMathematics of discrete integrable systems
The lab studies the mathematical properties and applications of integrable systems expressed in discrete values (discrete integrable systems) and of discrete differential geometry.
*Illustrative imageAnalysis of nonlinear wave patterns
Using discrete algorithms, the lab mathematically analyzes nonlinear wave patterns that spread in two dimensions.
*Illustrative imageAnalysis of giant waves such as rogue waves
The lab mathematically analyzes the mechanisms by which rogue waves, giant waves that appear suddenly at sea, are generated.
MembersFaculty
The Maruno Lab consists of faculty members, doctoral, master's, and undergraduate students, and visiting members.As of 2026
- ProfessorKenichi Maruno
VoicesStudent voices
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RelatedLabs similar to Maruno Lab
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Shimizu LabSchool of Fundamental Science and Engineering, Department of Applied MathematicsMathematical statistics, asymptotic theory, stochastic proce…The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Soliton hydro” Christophe.Finot et Kamal HAMMANI / CC BY-SA 2.5 (cropped)
- Simulation of water waves: “Bouss-2D simulation of nearshore waves” Coastal and Hydraulics Laboratory – US Army Engineer Research and Development Center / Public domain (cropped)
- Mathematics of discrete integrable systems: “Torregrotta geodesic dome tubing membrane” Alphacentauri2007 / CC BY-SA 4.0 (cropped)
- Analysis of nonlinear wave patterns: “Shock waves in shallow water turbulence” Pierre Augier, Ashwin Vishnu Mohanan, Erik Lindborg / CC BY 4.0 (cropped)
- Analysis of giant waves such as rogue waves: “Wea00800,1” NOAA / Public domain (cropped)
- Related lab (Kuto Lab): “Belousov Zhabotinsky reaction ( )” Stephen Morris / CC BY 2.0 (cropped)
- Related lab (Hirata Lab): “Bulk Metallic Glass Sample” George Stobbart / Public domain (cropped)
- Related lab (Ohmoto Lab): “Ripples dispersing sunlight into underwater rainbows in Brofjorden” W.carter / CC BY-SA 4.0 (cropped)
- Related lab (Shimizu Lab): “Wiener process 3d” Sullivan.t.j / CC BY-SA 3.0 (cropped)
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