Course description
Water Surface Waves: Finite-Amplitude Waves
This course covers fundamentals of nonlinear water waves based on perturbation methods. After reviewing basic techniques of perturbation methods, we study solutions for Stokes waves of deep water. After identifying the limitation of Stokes waves solution in shallow water, we then derive the nonlinear shallow-water equations. Finally, we explore the Boussinesq equations to account for (weak) dispersion and solve the kdV equation to obtain the solitary wave solution.
Upcoming start dates
Who should attend?
Prerequisites
It is recommended to take a previous lecture, Water Surface Waves: Small Amplitude Waves, before this lecture.
Training content
- Introduction to perturbation method
- Stokes wave theory
- Nonlinear shallow-water equations
- Boussinesq equations and KdV equation
Course delivery details
This course is offered through Seoul National University, a partner institute of EdX.
2-4 hours per week
Costs
- Verified Track -$49
- Audit Track - Free
Certification / Credits
What you'll learn
- Perturbation methods
- Stokes wave theory and solutions
- Nonlinear shallow water equations
- Boussinesq equations
- kdV equation and solitary wave solution
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