spring 2021
MAT-3202 Nonlinear Waves - 10 ECTS

Last changed 11.08.2021

Application deadline

Spring 2020 If only a few students attend this course spring 2020, it will be given as a reading-coures.

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Type of course

The course is included in the study programs Mathematics - master and Applied Physics and Mathematics - master (5-years). It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Admission requirements

Bachelor of science degree in mathematics or equal.

Recommended prerequsites is MAT-3200 Mathematical Methods.

Application code is 9371.

Course overlap

MA-320 Mathematical theory of waves 10 stp
MAT-8202 Nonlinear Waves 10 stp

Course content

An introduction to basic concepts of the theory of nonlinear waves. Covers variational formulations, perturbation methods, amplitude equations, integrable models and the theory of shocks. Numerical simulations play a central role in the modeling of nonlinear wave phenomena.

Recommended prerequisites

MAT-3200 Mathematical Methods

Objectives of the course

After completing the course the students should know basic theory for modeling of linear and non-linear continuum systems, including:
  • hyperbolic and dispersive continuum models.
  • stability theory for conservative and dissipative models.
  • basic perturbation theory for models with several space-time scales.
  • numerical modelling of continuum models.
  • be able to use both analytical and numerical solution methods.

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h Coursework: 30 h


One oral exam counting 100%.

Assessment scale: Letter grades A-F.

Coursework requirements A passing grade is required on the mandatory homework sets for permission to take the exam.

Recommended reading/syllabus

Pensumliste for MAT-3202 Nonlinear Waves
  • About the course
  • Campus: Tromsø |
  • ECTS: 10
  • Course code: MAT-3202