Solvable Models of Mathematical Physics

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Elementary methods for solving nonlinear differential equations occuring in mathematical physics are explained.

Requirements:

Syllabus of lectures:

1. Ordinary differential equations of the first and second order.

2. Autonomous systems of differential equations.

3. Jacobi elliptic punctions.

4. Partial differential equations of the first order, method of characteristics.

5. Bäcklund transformations.

6. Inverse scattering method.

Syllabus of tutorials:

Study Objective:

Knowledge:

Methods of solving differential equations of mathematical physics

Skills:

To acquire a praxis in handling differential equations

Study materials:

Recommended literature:

[1] R.K. Bullough, Solitons,Springer-Verlag, 1980

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Aplikovaná algebra a analýza (elective course)
• Matematická fyzika (elective course)