In this study, a new crossover sine model (CSM) n was developed from a trigonometric model [M. E. Fisher, S. Zinn, and P. J. Upton, Phys. Rev. B 59, 14533 (1999)]. The trigonometric model is a parametric formulation model that is used to represent the thermodynamic variables near a critical point. Although there are other crossover models based on this trigonometric model, such as the CSM and t...

A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the soliton motion are deduced for the nonlinear Schrodinger equation, the Korteweg —de Vries equation, and...

We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, an...

a mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der waals mixing rule at low densities. the effectiveness of the mixing rule for the size and energy parameters of lennard-jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. the results of calculation are compared with the molecular dynami...

There are several nonlinear evolution equations (NLEEs) that appears in various areas of applied mathematics and theoretical physics [1–13]. These NLEEs are a key to the understanding of various physical phenomena that governs the world today. Some of these commonly studied NLEEs are the nonlinear Schrödinger’s equation (NLSE), Korteweg– de Vries (KdV) equation, sine–Gordon equation (SGE), just...

We derive a generalization of the Destri De Vega equation governing the scaling functions of some excited states in the Sine-Gordon theory. In particular configurations with an even number of holes and no strings are analyzed and their UV limits found to match some of the conformal dimensions of the corresponding compactified massless free boson. Quantum group reduction allows to interpret some...

Introduction Self Sustaining Oscillators are of interest to researchers given the fact that they provide for excellent test beds to study the nuances and intricacies involved in typical oscillatory systems. Numerous such oscillations have been studied using traditional numerical methods in the past, contrary to the propositions of this article. Majority of study of van der Pol equation like osc...

The double sine-Gordon equation is studied. Some complex hyperbolic functions are proposed to derive travelling wave solutions. Based on the symbolic computation program MAPLE, many new exact solutions are obtained. 2006 Elsevier Inc. All rights reserved.

In this paper we consider the integrability of the mappings derived from the double discrete related sine-Gordon (∆∆RsG) equation, which we recently introduced in the paper Higher dimensional integrable mappings, under an appropriate periodicity condition.