This thesis investigates aspects of field theories and soliton solutions with nontrivial topology. In particular we explore the following effective models: a limited sector of the scalar Electrowea… Expand

Two flavours Skyrmion will be analyzed analytically, in case of static and rotational Skyrme equations. Numerical solution of a nonlinear scalar field equation, i.e. the Skyrme equation, will be… Expand

The authors outline homotopy theory and its application to field theory. They describe topologically non-trivial field configurations occurring in the Abelian Higgs model, CPN models, O(N) sigma… Expand

Preface 1. The Kortewag-de Vries equation 2. Elementary solutions of the Korteweg-de Vries equation 3. The scattering and inverse scattering problems 4. The initial-value problem for the Korteweg-de… Expand

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular… Expand

Part I. Geometry: 1. Klein correspondence 2. Fibre bundles 3. Differential geometry 4. Integral geometry Part II. Field Theory: 5. Linear field theory 6. Gauge theory 7. General relativity Part III.… Expand