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Showing 1 to 4 of 4 for “"Compacton"”.
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Nonsemilinear one-dimensional PDEs: analysis of PT deformed models and numerical study of compactons
… dispersive PDEs in one dimension with compacton solutions. The subjects treated in the two parts of this work are quite different, however a common theme, emphasised in the title of the thesis, is the occurrence of nonsemilinear PDEs. Such equations are characterised by the fact that …
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Compactons in strongly nonlinear lattices
… of classical linear waves. We demonstrate that compactons – strongly localized solitary waves with tails decaying faster than exponential – exist and that they play a major role in the dynamics of the system under consideration. We investigate compactons in different physical setups. One part …
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Non-Hermitian Hamiltonians in Field Theory
… to a broader class of systems presenting compacton solutions. Finally we study [6] the pole structure of certain real valued nonlinear integrable systems and establish that they behave as interacting particles whose motion can be extended to the complex plane in a PT -symmetric way.
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Waves on Elastic Rods and Helical Spring Problems
This work examines problems in the statics and traveling wave propagation on uniform elastic rods with constant curvature and torsion, i.e. a straight rod and a helical rod. The first set of problems concerns planar traveling loop-like waves on intrinsically straight rods. It is shown that loops …