Essays about: "Solitoner"

Found 3 essays containing the word Solitoner.

  1. 1. A unified view of a family of soliton equations related to spin Calogero-Moser systems

    University essay from KTH/Fysik

    Author : Anton Ottosson; [2022]
    Keywords : Soliton equations; Solitons; Integrable systems; Spin Calogero-Moser systems; Exact solutions; Benjamin-Ono-type equations; Solitonekvationer; Solitoner; Integrerbara system; sCM-system; Exakta lösningar; Ekvationer av Benjamin-Ono-typ;

    Abstract : We study the interconnections between the spin Benjamin-Ono (sBO) and half-wave maps (HWM) equations, a pair of nonlinear partial integro-differential equations that have recently been found to permit multi-soliton solutions, where the time evolution of the constituent solitons can be described in terms of the well-known, completely integrable, spin Calogero-Moser (sCM) system. By considering a symmetry transformation of the sCM dynamics we are led to introduce a scale parameter into the sBO equation, yielding what we call the rescaled sBO (rsBO) equation, which has both the sBO and HWM equations as special cases. READ MORE

  3. 2. On a novel soliton equation, its integrability properties, and its physical interpretation

    University essay from KTH/Fysik

    Author : Alexander Fagerlund; [2022]
    Keywords : Calogero-Moser systems; Conservation laws; Elliptic dynamics; Fluid dynamics; Hamiltonian mechanics; Hyperbolic dynamics; Integrability; Lax pairs; Pole ansatz; Riemann-Hilbert problems; Solitons; Bevarandelagar; Calogero-Mosersystem; Elliptisk dynamik; Fluiddynamik; Hamiltonmekanik; Hyperbolisk dynamik; Integrabilitet; Laxpar; Polansats; Riemann-Hilbertproblem; Solitoner;

    Abstract : In the present work, we introduce a never before studied soliton equation called the intermediate mixed Manakov (IMM) equation. Through a pole ansatz, we prove that the equation has N-soliton solutions with pole parameters governed by the hyperbolic Calogero-Moser system. READ MORE

  4. 3. Solitons in High Energy Physics

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Edvin Olofsson; [2017]
    Keywords : sine-Gordon model; solitons; high energy physics; particle physics; Thirring model; vortices; magnetic monopoles; homotopy; Physics and Astronomy;

    Abstract : Solitons are solutions to classical field equations that are particle like, meaning they are localized in space, have definite energy and can be stable against deformations into the vacuum. In this thesis we investigate under which circumstances such solutions may exist and what effects their existence could have. READ MORE