Sökning: "soliton equations"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden soliton equations.

  1. 1. Field Theories and Vortices with Nontrivial Geometry

    Författare :Kristel Torokoff; Antti Niemi; Masud Chaichian; Uppsala universitet; []
    Nyckelord :Theoretical physics; theoretical physics; gauge field theory; knot theory; spontaneously broken symmetry; effective model; numerical calculation; soliton; vortex; electromagnetic plasma; Teoretisk fysik;

    Sammanfattning : This thesis investigates aspects of field theories and soliton solutions with nontrivial topology. In particular we explore the following effective models: a limited sector of the scalar Electroweak theory called extended Abelian Higgs model, and a classical mechanics model derived from the low energy SU(2) Yang-Mills theory. LÄS MER

  3. 2. Funktionalanalytische Methoden bei der Behandlung von Solitonengleichungen

    Författare :Cornelia Schiebold; Mittuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; soliton equations; explicit solution formulas; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER

  4. 3. Painlevé analysis and transformations for nonlinear partial differential equations

    Författare :Ove Lindblom; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. LÄS MER

  5. 4. Soliton Methods in the Theory of Integrable Mechanical Systems

    Författare :Krzysztof Marciniak; Janno Hietarinta; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This dissertation is devoted to the study of integrable sets of mechanical equations with the use of soliton techniques. A Lax representation of the coupled Kortevegde Vries (cKdV) hierarchy with sow-ces is derived. LÄS MER

  7. 5. Nonlinear Dynamics of Coherent and Partially Coherent Optical Waves

    Författare :Tobias Hansson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; soliton interaction; Wigner transform; logarithmically saturable media; Nonlinear Schrödinger equation; parabolic beams; partial coherence; quasilinear diffusion; modulational instability;

    Sammanfattning : In optics an important nonlinear effect is manifested by the fact that the refractive index, in addition to its frequency dependence, also depends on the intensity of the light. Nonlinear effects are present within a wide range of optical applications e.g. the fast growing fields of fiber-optic communication and all-optical signal processing. LÄS MER