Essays about: "Calogero-Moser systems"
Showing result 1 - 5 of 6 essays containing the words Calogero-Moser systems.
-
1. Investigation of soliton equations with integral operators and their dynamics
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : 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. READ MORE
-
2. Exact Solutions of Soliton Equations and Dynamical Systems
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : 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. READ MORE
-
3. A unified view of a family of soliton equations related to spin Calogero-Moser systems
University essay from KTH/FysikAbstract : 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
-
4. On a novel soliton equation, its integrability properties, and its physical interpretation
University essay from KTH/FysikAbstract : 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
-
5. Soliton solutions to Calogero-Moser systems
University essay from KTH/FysikAbstract : .... READ MORE