PHYS 517
NONLINEAR EVOLUTION EQUATIONS AND SOLITONS METU Credit (Theoretical-Laboratory hours/week): 3 (3-0) ECTS Credit: 8.0 Department: Physics Course Coordinator: AYŞE KARASU Offered Semester: Fall or Spring Semesters. Course Objective: Solitons are special
solutions to equations which evolve in time with a fixed
profile. Many equations have solitons, but multisolitons
tend to occur in equations which are known as
"integrable". Integrable equations are very rare and
special because they can be solved analytically.They are
heavily used in applied mathematics and mathematical
physics. The aim of this elective course is to introduce
the graduate students to integrable systems and solitons
with emphasis on the main ideas that will be helpful for
the beginners. By the end of the course unit, the
students are expected to be able to apply some
analytical methods for solving simple problems arising
in nonlinear dynamical systems in one time and one space
dimensions.
Course Contents:
Textbook: Solitons: an introduction , by P.G. Drazin and R.S. Johnson, Cambridge Univ. Press, 1989 References:
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