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Evaluating residues and integrals through negative dimensional integration method (NDIM)
(2006-10-01)
The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based ...
Evaluating residues and integrals through negative dimensional integration method (NDIM)
(2006-10-01)
The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based ...
Self-dual hopfions
(Springer, 2010-03-01)
We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...
Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
(Springer, 2015-06-18)
A new super-Backlund transformation for the N = 1 supersymmetric sinhGordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent ...
A method for solving nonlinear differential equations: An application to λϕ4 model
(2015-01-01)
Recently, it has been great interest in the development of methods for solving nonlinear differential equations directly. Here, it is shown an algorithm based on Padé approximants for solving nonlinear partial differential ...
A symmetric system of mixed Painlevé III-V equations and its integrable origin
(2015-12-18)
A mixed symmetric Painlevé III-V model which describes a hybrid of both equations is defined and obtained by successive self-similarity and Dirac Lagrange multiplier reductions from an integrable 4-boson hierarchy.
A Skyrme-like model with an exact BPS bound
(SpringerHeidelberg, 2013-09)
We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that ...