Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Inverse scattering method"”.
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On Multi-component Nonlinear Schrödinger Equation with PT-Symmetry
The aim of this thesis is to develop the inverse scattering method for multi-component generalisations of nonlocal reductions of the nonlinear Schrödinger equation with parity- time (PT)-symmetry related to symmetric spaces. This includes: the spectral properties of the associated Lax operator, …
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On the discrete nonlinear Schrödinger equation with PT-Symmetry
The purpose of this thesis is to develop the inverse scattering method for the nonlocal semi-discrete nonlinear Schrödinger equation (known as Ablowitz-Ladik equation) with parity-time symmetry proposed in Ablowitz and Musslimani’s paper. This includes the eigenfunctions (Jost solutions) of the …
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ΠΑΡΑΓΩΓΗ ΝΕΩΝ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ ΣΚΕΔΑΣΗΣ ΤΩΝ BELINSKY-ZAKHAROV
THE INVERSE SCATTERING METHOD OF BELINSKY-ZAKHAROV (BZ) IS USED FOR THE CONSTRUCTION OF NEW EXACT SOLUTIONS OF THE EINSTEIN EQUATIONS. THIS METHOD IS APPLIED TO SPACETIMES POSSESING TWO COMMUTING (NON-NULL) KILLING VECTORS. THE BZ METHODIS PRESENTED IN A VERY USEFUL FORM IN THE CASE WHERE THE SEED …
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BLACK HOLES AND SOLUTION GENERATING TECHNIQUES
… we explain in detail the Ernst formalism and the inverse scattering method. These are the techniques that are applied in the rest of the Thesis. Subsequently, we construct multi-black hole solutions embedded in an external gravitational field: it is possible to obtain an equilibrium configuration …
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Infinite Sets of Conserved Charges and Duality in Quantum Field Theory
… how the solution to the XYZ model by the quantum inverse scattering method leads to the infinite set of conserved charges associated with it. The thesis culminates in the statement and proof of the theorem mentioned above, which stipulates a condition under which self-dual theories possess an …
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Bragg grating filters for optical networks
… The design process uses an alternative method to the inverse scattering method, but produces a similar spectral response quality. These gratings have either modulated refractive index or chirp rate. Then, we propose a reconfigurable phase-code encoder. The device is composed of a uniform …
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Continuous and quad-graph integrable models with a boundary: Reflection maps and 3D-boundary consistency
… on the halfline. Using a Backlund transformation method which explores the folding symmetry of the system, classes of integrable boundary conditions (BCs) are derived. These BCs coincide with the linearizable BCs obtained using the unified transform method developed by Fokas. The notion of …
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On orthogonal polynomials and related discrete integrable systems
… while the second introduces the Laguerre method, which derives a differential system for semi-classical orthogonal polynomials. We consider some semiclassical Hermite and Laguerre weights using the Laguerre method, before applying both methods to a semi-classical Jacobi weight. While some …
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Exact Results on Extended Hubbard Models on One-Dimensional Chains
… This is due to the fact the usual theoretical methods can be shown to fail in D=1, and theoreticians are thus forced to develop new schemes for approaching the problem of many interacting fermions in such dimension. The latter therefore represents a fascinating challenge. Some progress has been …