Avancerad sökning

Visar resultat 1 - 5 av 11 uppsatser som matchar ovanstående sökkriterier.

  1. 1. Ocean rogue wave analysis for the development of safer navigation systems. : A Thesis submitted to the University of Gävle for the degree of Bachelor of Mathematics

    L3-uppsats, Högskolan i Gävle/Matematik

    Författare :Sergio Manzetti; [2023]
    Nyckelord :;

    Sammanfattning : Rogue waves are unexpectedly high waves of 2.5X the significant wave height and which occur in nearly all phases of nature, from  oceans, to fiber-optic cables and atmospheric air-masses. In the ocean, rogue waves pose a significant danger to shipping and fishing vessels and have been found to reach 27. LÄS MER

  3. 2. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Ibrohim Hamoud; [2023]
    Nyckelord :;

    Sammanfattning : In this work, we present the numerical implementation of various time marching methods based on the summation-by-parts (SBP) method for the time integration of nonlinear dispersive systems. More specifically, we consider the nonlinear Schrödinger (NLS) equation that accepts soliton or soliton-like solution as a primary case study. LÄS MER

  4. 3. 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

  5. 4. Conservative high order collocation methods for nonlinear Schrödinger equations

    Master-uppsats, Stockholms universitet/Fysikum

    Författare :Pau Riera; [2021]
    Nyckelord :Gross-Pitaevskii equation;

    Sammanfattning : In this thesis, we investigate the numerical solution of time-dependent nonlinear Schrödinger equations (more specifically, the Gross-Pitaevskii equation) that appear in the modeling of Bose-Einstein condensates. Since the model is known to conserve important physical invariants, such as mass and energy of the condensate, our goal is to study the importance of reproducing the conservation on the discrete level. LÄS MER

  7. 5. A numerical investigation of Anderson localization in weakly interacting Bose gases

    Master-uppsats, KTH/Numerisk analys, NA

    Författare :Crystal Ugarte; [2020]
    Nyckelord :Applied mathematics; finite elements; eigenvalue solver; eigenvalue problem; Bose-Einstein Codensate; Finita elementmetoden; tillämpad matematik; Bose-Einstein kondensat; egenvärdesalgoritm; egenvärdesproblem;

    Sammanfattning : The ground state of a quantum system is the minimizer of the total energy of that system. The aim of this thesis is to present and numerically solve the Gross-Pitaevskii eigenvalue problem (GPE) as a physical model for the formation of ground states of dilute Bose gases at ultra-low temperatures in a disordered potential. LÄS MER