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Building integral equation methods with the open-source library BEM++
(IEEE, 2016)
Surface Integral Equations are often used to model electromagnetic scattering phenomena. Large-scale problems can efficiently be solved with Boundary Element Methods (BEM) of which the Method of Moments (MoM) has found ...
Static Hopfions in the extended Skyrme-Faddeev model
(INT SCHOOL ADVANCED STUDIES, 2009)
We construct static soliton solutions with non-zero Hopf topological charges to a theory which is an extension of the Skyrme-Faddeev model by the addition of a further quartic term in derivatives. We use an axially symmetric ...
Exact vortex solutions in a CP(N) Skyrme-Faddeev type model
(SPRINGER, 2010)
We consider a four dimensional field theory with target space being CP(N) which constitutes a generalization of the usual Skyrme-Faddeev model defined on CP(1). We show that it possesses an integrable sector presenting an ...
Approximated solutions to Born-Infeld dynamics
(Springer, 2016-02-01)
The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and antiholomorphic functions. However, this solution only expresses ...
EXPLICIT REPRESENTATION FOR THE INFINITE-DEPTH TWO-DIMENSIONAL FREE-SURFACE GREEN'S FUNCTION IN LINEAR WATER-WAVE THEORY
(SIAM PUBLICATIONS, 2010)
In this paper we derive an explicit representation for the two-dimensional free-surface Green's function in water of infinite depth, based on a finite combination of complex-valued exponential integrals and elementary ...
Approximate analytical solution to Reynolds equation for finite length journal bearings
(Elsevier, 2011-09)
The understanding of the behavior of hydrodynamic bearings requires the analysis of the fluid film between two solid surfaces in relative motion. The differential equation that governs the movement of this fluid, called ...
Existence And Uniqueness Of Solution For A Generalized Nonlinear Derivative Schrödinger Equation
(Academic Press Inc., 2015)
Integrable deformations of strings on symmetric spaces
(Springer, 2014-11-04)
A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of ...
Integrable deformations of strings on symmetric spaces
(Springer, 2015)