Sökning: "Calogero-Moser systems"
Visar resultat 1 - 5 av 6 uppsatser innehållade orden Calogero-Moser systems.
1. Investigation of soliton equations with integral operators and their dynamics
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : We present Lax pairs and functions called Lax functions corresponding to Calogero- Moser-Sutherland (CMS) systems. We present the Benjamin-Ono (BO) equation and a pole ansatz to the BO equation, constructed from a specific type of Lax function called a special Lax function corresponding to Rational and Trigonometric CMS systems. LÄS MER
2. Exact Solutions of Soliton Equations and Dynamical Systems
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : This report investigates how one can construct soliton solutions to the following solitonequations: the Korteweg-de Vries equation, the Benjamin-Ono equation, and the spinBenjamin-Ono equation by making rational pole ansätze, which are ansätze that dependon eponymous pole parameters moving in the complex plane. In doing so we demonstratea connection between these soliton solutions and the class of integrable dynamical systemsknown as Calogero-Moser systems. LÄS MER
3. A unified view of a family of soliton equations related to spin Calogero-Moser systems
Master-uppsats, KTH/FysikSammanfattning : 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. LÄS MER
4. On a novel soliton equation, its integrability properties, and its physical interpretation
Master-uppsats, KTH/FysikSammanfattning : 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. LÄS MER
5. Soliton solutions to Calogero-Moser systems
Master-uppsats, KTH/FysikSammanfattning : .... LÄS MER