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.
Decision to discontinue this course:
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Information per course offering
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Course syllabus as PDF
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Course syllabus FSI3150 (Spring 2019–)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.
Literature
Compendium by Edwin Langmann.
P. G. Drazin & R. S. Johnson: Solitons: An Introduction, Cambridge Texts in Applied Mathematics, 1989.
Examination and completion
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.
If the course is discontinued, students may request to be examined during the following two academic years.
Other requirements for final grade
Home work and oral examination.
Examiner
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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
Education cycle
Third cycle