We consider the existence and spectral stability of static multi-kink structures in discrete sine-Gordon equation, as a representative example family Klein-Gordon models. The multi-kinks are constructed using Lin's method from an alternating sequence well-separated kink antikink solutions. then locate point spectrum associated with these solutions by reducing problem to matrix equation. For $m$...

We study the asymptotic properties of kinks in connection with deformation procedure. show that, upon field-theoretic model, asymptotics can change or remain unchanged, depending on deforming function. The cases both explicit and implicit are considered. In addition, we that procedure be applied to important case kinks. also prove for any kink a power-law tail, stability potential decreases as ...

The q-deformed kink of the λφ4−model is obtained via the normalisable ground state eigenfunction of a fluctuation operator associated with the qdeformed hyberbolic functions. The kink mass, the bosonic zero-mode and the q-deformed potential in 1+1 dimensions are found. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef ∗Permanent address: Departamento de Ciências Exatas e da Natureza, Universidade Fede...

We analyze non-integrable deformations of two-dimensional N = 1 supersymmetric quantum field theories with kink excitations. As example, we consider the multifrequency Super Sine Gordon model. At weak coupling, this model is robust with respect to kink confinement phenomena, in contrast to the purely bosonic case. If we vary the coupling, the model presents a sequence of phase transitions, wher...

– We consider the motion of semiflexible polymers in double-well potentials. We calculate shape, energy, and effective diffusion constant of kink excitations, and in particular their dependence on the bending rigidity of the semiflexible polymer. For symmetric potentials, the kink motion is purely diffusive, whereas kink motion becomes directed in the presence of a driving force on the polymer....