Nonlinear Partial Differential Equations
Travelling waves and Solitons Content:
KdV solitons
Reaction diffusion systems
Spiral waves Technical University of Denmark Mads Peter Sørensen
Department of Mathematics, Techn. Univ. of Denmark
Nonlinear Partial Differential Equations
Travelling waves and Solitons Content:
KdV solitons
Reaction diffusion systems
Spiral waves Technical University of Denmark Mads Peter Sørensen
Department of Mathematics, Techn. Univ. of Denmark
Introduction Technical University of Denmark Nonlinear dynamics: Solitons
Coherent structures Reaction diffusion problems
Self organization Finite size systems
Chaos
Discrete systems Return maps
Chaos. Fractals
Technical University of Denmark Scott Russel. 1834. Union Cannal. Univ. of Heriot-Watt. Edinburgh, Scotland. The discovery of the solitary surface water wave.
The classical soliton equations Technical University of Denmark Korteweg de Vries eq. Simple single soliton Balance between dispersion and nonlinearity.
The amplitude depends on the wave velocity.
The width depends on the wave velocity.
Technical University of Denmark Satellite picture of solitons in the Andamann sea Shallow water waves on a beach
Technical University of Denmark Shallow water waves on a beach
Technical University of Denmark Shallow water waves on a beach
Technical University of Denmark Shallow water waves on a beach
Technical University of Denmark Travelling wave in the Hodgkin-Huxley system. Nerve pulses.
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