Course title  Geometric Theory of Partial Differential Equations II 

Course code  MU/03259 
Organizational form of instruction  Lecture + Lesson 
Level of course  Master 
Year of study  not specified 
Semester  Summer 
Number of ECTS credits  6 
Language of instruction  Czech 
Status of course  Compulsoryoptional 
Form of instruction  Facetoface 
Work placements  This is not an internship 
Recommended optional programme components  None 
Course availability  The course is available to visiting students 
Lecturer(s) 


Course content 
Conservation laws, cosymmetries and their computation. Basics of calculus of variations. Symmetries of variational problems. The Noether theorems. Hamiltonian structures of evolution systems of partial differential equations and their properties. Bihamiltonian systems and their integrability. Recursion operators and symplectic structures. Zero curavture representations and their applications; the spectral parameter; gauge transformations. Lax representations and introduction to the inverse scattering method.

Learning activities and teaching methods 
unspecified 
Recommended literature 

Study plans that include the course 
Faculty  Study plan (Version)  Branch of study Category  Recommended year of study  Recommended semester 

Mathematical Institute in Opava  Geometry and Global Analysis (1)  Mathematics courses  2  Summer 
Mathematical Institute in Opava  Mathematical Analysis (1)  Mathematics courses  2  Summer 
Mathematical Institute in Opava  Mathematical Analysis (1IVT)  Mathematics courses  5  Summer 