Essays about: "Lax pairs"

Found 3 essays containing the words Lax pairs.

  1. 1. Investigation of soliton equations with integral operators and their dynamics

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Ruben Vikars Hall; Carl Svennerstedt; [2023]
    Keywords : Soliton; Calogero-Moser-Sutherland system; Lax pair; Hilbert transform; Szegö projection; Benjamin-Ono equation; Non-chiral Intermediate long-wave equation; Szegö equation;

    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

  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. Early environmental effects on dominance in juvenile Atlantic salmon (Salmo salar L.)

    University essay from Karlstads universitet

    Author : Lina Leksell; [2017]
    Keywords : Atlantic salmon; salmon; salmonids; fish; temperature; incubation temperature; climate change; behaviour; lax; laxfiskar; fisk; temperatur; inkuberingstemperatur; klimatförändringar; beteende;

    Abstract : The earth’s climate is rapidly changing. With climate change currently altering the environment, water temperature is an important environmental factor that will have various effects on fishes since they are ectotherms. READ MORE