Nonlinear continua

Nonlinear continua

Code: 205318
ECTS: 0.0
Lecturers in charge: prof. dr. sc. Hrvoje Buljan - Lectures
Take exam: Studomat
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1. komponenta

Lecture typeTotal
Lectures 15
Exercises 7
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
Nonlinear wave equations. Principles of wave propagation in linear systems: dispersion. Principles of wave propagation in the presence of nonlinearity: self-action. Stationary waves, solitons; stable balance between linear and nonlinear effects. Concept of stability and bifurcations: modulation instability. Pattern formation. Turbulence. Nonlinear wave equations and nonlinear effects in versatile physical systems. Nonlinear Schrodinger equation (NLSE): nonlinear optics, Bose-Einstein condensates (BECs) (Gross-Pitaevskii equation). Korteweg de Vries equation (KdV): long wavelength approximation for waves in shallow water, acoustic ion waves. Sine-Gordon equation (SG): mechanical oscillators, quantum optics. Methods for solving nonlinear wave equations: numerical simulations, inverse scattering method.
Literature:
  1. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, H.C. Morris, Solitons and nonlinear wave equations, Academic Press, London, 1982.
  2. S.P. Novikov, S.V. Manakov, L.P. Pitaevskii, V.E. Zakharov, Theory of Solitons, Plenum 1968.
  3. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, Pergamon Press, 1987.
1. semester
Fizika kondenzirane tvari - izborni predmeti - Mandatory smjer - Condensed matter physics
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