Advanced search
Showing result 1 - 5 of 25 swedish dissertations matching the above criteria.
-
1. Symmetries and conservation laws
Abstract : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. READ MORE
-
2. Expressing emotions through vibration for perception and control
Abstract : This thesis addresses a challenging problem: “how to let the visually impaired ‘see’ others emotions”. We, human beings, are heavily dependent on facial expressions to express ourselves. A smile shows that the person you are talking to is pleased, amused, relieved etc. READ MORE
-
3. Painlevé analysis and transformations for nonlinear partial differential equations
Abstract : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. READ MORE
-
4. Admissible transformations and the group classification of Schrödinger equations
Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE
-
5. Group theoretical methods for solving multidimensional nonlinear partial differential equations
Abstract : New methods for constructing both exact and approximate solutions of multidimensional nonlinear partial differential equations are developed. The basis of the methods is taken from the classical Lie transformation group theory. READ MORE