Essays about: "sine-Gordon"

Found 5 essays containing the word sine-Gordon.

  1. 1. A Numerical and Analytical Investigation of The sine-Gordon Equation and Its Soliton Solutions

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Peder Hårderup; William Brorsson; [2021]
    Keywords : ;

    Abstract : This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its special soliton solutions.Simpler analytical results are derived and more advanced methods and their results are discussed. READ MORE

  3. 2. Solitons in High Energy Physics

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Edvin Olofsson; [2017]
    Keywords : sine-Gordon model; solitons; high energy physics; particle physics; Thirring model; vortices; magnetic monopoles; homotopy; Physics and Astronomy;

    Abstract : Solitons are solutions to classical field equations that are particle like, meaning they are localized in space, have definite energy and can be stable against deformations into the vacuum. In this thesis we investigate under which circumstances such solutions may exist and what effects their existence could have. READ MORE

  4. 3. Equivalence of the sine-Gordon Model and the Massive Thirring Model: Derivations and Application

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Erik Linnér; [2017]
    Keywords : sine-Gordon model; Thirring model; Schwinger model; Bosonization; Physics and Astronomy;

    Abstract : The equivalence of the sine-Gordon model and the massive Thirring model, (1+1) dimensional theories of a single scalar field respectively a single Dirac field, is derived by two alternative approaches. The equivalence is derived by a comparison of the perturbation expansions of the correlation functions of the theories around the corresponding massless theories. READ MORE

  5. 4. A summary on Solitons in Quantum field theory

    University essay from Uppsala universitet/Institutionen för teknikvetenskaper

    Author : Hugo Laurell; [2016]
    Keywords : ;

    Abstract : This text is a brief summary on solitons in quantum field theory. An introduction to quantum field theory is made through which certain notions in the theory of solitons in quantum field theory is possible to understand. The explicit time-independent kink solutions are computed for the phi^4- and the sine-Gordon theory. READ MORE

  6. 5. Fourth order accurate numerical solution of the sine-Gordon equation : using the summation-by-parts simultaneous approximation term method

    University essay from Avdelningen för beräkningsvetenskap

    Author : David Jäderberg; Andreas Gådin; [2013]
    Keywords : sine-Gordon;

    Abstract : This project deals with creating a numerical solver of the sine-Gordon equation using the summation- by- parts and simultaneous approximation term method in combination with a finite difference time- stepping method as well as a Runge-Kutta time-stepping method. All implementations were done with fourth order accuracy and the theoretical work involved in deriving such a finite difference time-stepping method for the sine-Gordon equation is presented. READ MORE