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Ota Lab
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A lab that studies partial differential equations related to nonlinear waves.
AboutAbout the lab
Research on partial differential equations related to nonlinear waves
The Ota Lab studies partial differential equations related to nonlinear waves, such as the nonlinear Schrödinger equation and the nonlinear Klein–Gordon equation.
The lab lists the global study of solitary waves of nonlinear dispersive equations as its research topic.
In graduation research, students first learn basic equations such as the wave equation, the heat equation, and the Laplace equation, and then move on to modern theory that uses functional analysis.
Key terms
- Partial differential equation
- An equation that expresses the relationship between a function of two or more variables and its rates of change (partial derivatives)
- Solitary wave
- A localized, coherent wave solution that appears in equations of nonlinear waves. The lab deals with solitary waves of nonlinear dispersive equations
- Functional analysis
- A field of mathematics that treats collections of functions as spaces and uses this viewpoint to study equations and related problems
ResearchResearch themes
The Ota Lab studies partial differential equations related to nonlinear waves, such as the nonlinear Schrödinger equation and the nonlinear Klein–Gordon equation. Its research field is the theory of nonlinear partial differential equations.
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MembersFaculty
- ProfessorMasahito Ota
VoicesStudent voices
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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 1st order” Alessio Damato / CC BY-SA 3.0 (cropped)
- Partial differential equations of nonlinear waves: “Newton's Cradle ( )” Sheila Sund from Salem, United States / CC BY 2.0 (cropped)
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