Soliton equations: what are they, where do they arise. What is special about these equations: Symmetries, conservations laws, Lax pairs. KdV equation: physical background, applications, how to solve it. Inverse scattering method. Other soliton equations. Hirota's method.
FSI3150 Integrable Non-Linear Systems and Solitons 7.5 credits
This course has been discontinued.
Last planned examination: Autumn 2022
Decision to discontinue this course:
No information inserted
Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSI3150 (Spring 2019–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
This course gives a self-contained introduction to soliton equations. After the course one should have aquired an active knowledge of the course material (i.e. know about and be able to apply and generalize it) and be able to read research papers on the subject.
Literature and preparations
Specific prerequisites
Basic course in the theory of differential equations.
Recommended prerequisites
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Equipment
No information inserted
Literature
- Compendium by Edwin Langmann.
- P. G. Drazin & R. S. Johnson: Solitons: An Introduction, Cambridge Texts in Applied Mathematics, 1989.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
P, F
Examination
- INL1 - Assignment, 3.0 credits, grading scale: P, F
- TEN1 - Oral exam, 4.5 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
Home work and oral examination.
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
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Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
This course does not belong to any Main field of study.
Education cycle
Third cycle
Add-on studies
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Contact
Edwin Langmann (langmann@kth.se)