Solitary Wave and Shock Wave Solutions of the Variants of Boussinesq Equations

This paper obtains the solitary wave as well as the shock wave solutions of the variants of the Boussinesq equations in both (1+1) and (1+2) dimensions. The domain restrictions are also identified in the process

Soliton Perturbation Theory for the Modified Kawahara Equation

The modified Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton are obtained by the aid of soliton perturbation theory

Bright and dark solitons in optical fibers with parabolic law nonlinearity

This paper utilizes the ansatz method to obtain bright and dark 1-soliton solution to the nonlinear Schrodinger’s equation with parabolic law nonlinearity in birefringent fibers. There are a few Hamiltonian type perturbation terms taken into account. The exact soliton solution comes with baggages that are referred to as constraint conditions that must hold in order for these solitons to exist

Solitonska teorija smetnje za Kawahara-ovu jednadžbu

The Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton is obtained by the aid of soliton perturbation theory.Proučavamo Kawahara-ovu jednadžbu s članovima smetnje. Izveli smo adijabatsku dinamiku solitonske amplitude i brzinu solitona primjenom solitonske teorije smetnje

Solitonska teorija smetnje za Kawahara-ovu jednadžbu

The Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton is obtained by the aid of soliton perturbation theory.Proučavamo Kawahara-ovu jednadžbu s članovima smetnje. Izveli smo adijabatsku dinamiku solitonske amplitude i brzinu solitona primjenom solitonske teorije smetnje

Josephson Coupling in the Dissipative State of a Thermally Hysteretic μ\mu-SQUID

Micron-sized superconducting interference devices ($\mu$-SQUIDs) based on constrictions optimized for minimizing thermal runaway are shown to exhibit voltage oscillations with applied magnetic flux despite their hysteretic behavior. We explain this remarkable feature by a significant supercurrent contribution surviving deep into the resistive state, due to efficient heat evacuation. A resistively shunted junction model, complemented by a thermal balance determining the amplitude of the critical current, describes well all experimental observations, including the flux modulation of the (dynamic) retrapping current and voltage by introducing a single dimensionless parameter. Thus hysteretic $\mu$-SQUIDs can be operated in the voltage read-out mode with a faster response. The quantitative modeling of this regime incorporating both heating and phase dynamics paves the way for further optimization of $\mu$-SQUIDs for nano-magnetism.Comment: 10 pages, 11 figures, Revise

Phase transitions and non-equilibrium relaxation in kinetic models of opinion formation

We review in details some recently proposed kinetic models of opinion dynamics. We discuss the several variants including a generalised model. We provide mean field estimates for the critical points, which are numerically supported with reasonable accuracy. Using non-equilibrium relaxation techniques, we also investigate the nature of phase transitions observed in these models. We study the nature of correlations as the critical points are approached, and comment on the universality of the phase transitions observed.Comment: 11 pages, 8 eps figures, 1 table. Contribution for proceedings of Statphys-Kolkata-VII 26-30 November, 201