Sökning: "Lax pairs"

Hittade 3 uppsatser innehållade orden Lax pairs.

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

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

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

    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

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

    Master-uppsats, KTH/Fysik

    Författare :Alexander Fagerlund; [2022]
    Nyckelord :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;

    Sammanfattning : 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

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

    Kandidat-uppsats, Karlstads universitet

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

    Sammanfattning : 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. LÄS MER