The symmetric dynamics of two kinks and one antikink in classical (1+1)dimensional φ theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink-antikink pair production is explored. ∗ e-mail address: [email protected] † e-mail address: M.Houari@d...

The Casimir energy of quantum fluctuations about the classical kink configuration is computed numerically in the weak coupling approximation for a recently proposed lattice sineGordon model. This energy depends periodically on the kink position and is found to be approximately sinusoidal. PACS classification numbers: 03.65.Sq, 11.10.Lm, 63.10.+a.

We study the λφ 4 1+1 kink solion and the zero-mode contribution to the Kink soliton mass in regions beyond the semiclassical regime. The calculations are done in the non-trivial scaling region and where appropriate the results are compared with the continuum, semiclassical values. We show, as a function of parameter space, where the zero-mode contributions become significant.

The CGHS model of two-dimensional dilaton gravity coupled to a sineGordon matter field is considered. The theory is exactly solvable classically, and the solutions of a kink and two-kink type solitons are studied in connection with black hole formation. Typeset using REVTEX ∗E-Mail:[email protected] †E-Mail:[email protected] 1

wide compared with the length of the specimen, and so is the angle between the lateral edge of the kink band and the axis of extension, E = [sin xo/sin (xi + so) ] 1. (2) For narrow kink bands and deformation bands, (a) an approximate relation is s = cot (900 w); (b) a more precise relation where a and ,3 are the respective angles between the kink-band boundary and the active glide plane in the...

The radiation from oscillating kink in (1+1) dimensional relativis-tic φ 4 model is considered. Both analytical and numerical approaches are presented and the comparison between these methods is discussed. Acceleration of the kink in external radiation is calculated and numerical results are also presented.

By using bifurcation theory of planar ordinary differential‎ ‎equations all different bounded travelling wave solutions of the‎ ‎Generalized Zakharov equation are classified in different‎ ‎parametric regions‎. ‎In each of these parametric regions‎ ‎the exact explicit parametric‎ representation of all solitary‎, ‎kink (anti kink) and‎ ‎periodic wave solutions as well as their numerical simulatio...

We consider the hyperbolic generalization of Burgers equation with polynomial source term. The transformation of auto-Bäcklund type was found. Application of the results is shown in the examples, where the pair of two stationary solutions produces kink and bi-kink solutions.

The Casimir energy of quantum uctuations about the classical kink connguration is computed numerically in the weak coupling approximation for a recently proposed lattice sine-Gordon model. This energy depends periodically on the kink position and is found to be approximately sinusoidal.