Nonlinear Waves (MAGIC021) |
Announcements
The lectures are on Wednesdays 12 and Thursdays at 1. For the firstvtwo weeks, the lectures will be given from the node at Exeter
Forum GeneralThis course is part of the MAGIC core. Description
The aim of this module is to introduce students to the major ideas and techniques in the nonlinear wave theory (see the Syllabus).
SemesterSpring 2017 (Monday, January 23 to Friday, March 31) Timetable
PrerequisitesNo specific requirements. Standard undergraduate courses in analysis, mathematical methods and partial differential equations are desirable.
SyllabusMAGIC 021: Nonlinear Waves (20 hours) Lecturers: R.H.J. Grimshaw, G.A. El, K.R. Khusnutdinova
[1] Whitham, G.B. 1974 Linear and Nonlinear Waves, Wiley, New York. [2] Ablowitz, M.J. & Segur, H. 1981 Solitons and the Inverse Scattering Transform, SIAM. [3] Dodd, R.K., Eilbeck, J.C., Gibbon, J.D. & Morris, H.C. 1982 Solitons and Nonlinear Waves Equations, Academic Press, Inc. [4] Novikov, S.P., Manakov, S.V., Pitaevskii, L.P. & Zakharov, V.E. 1984 The Theory of Solitons: The Inverse Scattering Method, Consultants, New York. [5] Newell, A.C. 1985 Solitons in Mathematics and Physics, SIAM. [6] Drazin, P.G. & Johnson R.S. 1989 Solitons: an Introduction, Cambridge University Press, London. [7] Scott, A. 1999 Nonlinear Science: Emergence and Dynamics of Coherent Structures, Oxford University Press Inc., New York. [8] Kamchatnov, A.M. 2000 Nonlinear Periodic Waves and Their Modulations-An Introductory Course, World Scientific, Singapore. [9] Kivshar, Y.S., Agrawal, G. 2003 Optical Solitons: From Fibers to Photonic Crystals, Elsevier Science, USA. [10] Braun, O.M., Kivshar, Y.S. 2004 The Frenkel-Kontorova model. Concepts, methods, and applications. Springer, Berlin. [11] Grimshaw, R. (ed.). 2005 Nonlinear Waves in Fluids: Recent Advances and Modern Applications. CISM Courses and Lectures, No. 483, Springer, Wien, New York. [12] Grimshaw, R. (ed.) 2007 Solitary Waves in Fluids. Advances in Fluid Mechanics, Vol 47, WIT Press, UK. Lecturers
Students
Bibliography
Note: Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.) AssessmentAssessment for this course will be via a single take-home paper in April with 2 weeks to complete and submit online. To pass the exam one is required to complete at least 3 out of 4 questions and to obtain at least 50
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