Programme And Module Handbook
 
Course Details in 2025/26 Session


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Module Title LM Nonlinear Waves
SchoolMathematics
Department Mathematics
Module Code 06 27692
Module Lead Jamal Uddin & Qian Wang
Level Masters Level
Credits 20
Semester Semester 2
Pre-requisites
Co-requisites
Restrictions None
Contact Hours Lecture-46 hours
Tutorial-10 hours
Guided independent study-144 hours
Total: 200 hours
Exclusions
Description This module is intended as an introduction to the theory of nonlinear waves and their applications, and extends the study of partial differential equations begun in year three. As an introduction to this module a review of some of the standard linear wave equations will be given. Nonlinear wave equations such as Burgers’ equation and the Korteweg-de Vries equation will be considered. Techniques for finding exact and approximate analytical solutions of nonlinear wave equations will be examined. In particular, the travelling wave solutions of certain nonlinear partial differential equations will be obtained.
The module will also cover nonlinear water waves and traffic flow scenarios and some compressible gas dynamics including shock waves.
Learning Outcomes By the end of the module students should be able to:
  • Understand the qualitative behaviour of solutions of nonlinear wave equations.
Assessment 27692-01 : Raw Module Mark : Coursework (100%)
Assessment Methods & Exceptions Assessment: 2 hour Summer Examination (80%); In-course Assessment (20%).
Other
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