The method of moments is developed and employed to analyze the equilibrium correlation functions magnetization ferromagnetic nanoparticles in case inertial dynamics. based on Taylor series expansion estimation coefficients. This significantly reduces complexity analysis functions. Analytical expressions are derived for first three coefficients longitudinal transverse uniaxial magnetocrystalline...

In this paper, the Exp-function method is used to obtain generalized travelling wave solutions with free parameters of the MKdV-sine-Gordon and Boussinesq-double sine-Gordon equations. It is shown that the Exp-function method, with the help of any symbolic computation packages, provides an effective mathematical tool for nonlinear evolution equations arising in mathematical physics.

A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the kink in the sine-Gordon and cubic sinh-Gordon models and another two P(φ)2 systems with polynomial self-interactions.

This article presents a new iterative method (NIM) for the investigation of approximate solution Klein-Gordon and sine-Gordon equations. approach is formulated on combination Mohand transform homotopy perturbation method. (MT) capable to handle linear terms only, thus we introduce (HPM) tackle nonlinear terms. NIM derives results in form series solution. The proposed emphasizes stability derive...

We have studied the solutions of the combined sine–cosine-Gordon Equation found by Wazwaz [A.M. Wazwaz, Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method, Appl. Math. Comput. 177 (2006) 755] using the variable separated ODE method. These solutions can be transformed into a new form. We have derived the relation between t...

In this work, we study the Klein–Gordon oscillator with equal scalar and vector potentials in a topologically charged Ellis–Bronnikov wormhole space-time background. The behaviour of relativistic field is studied position-dependent mass via transformation [Formula: see text] potential through minimal substitution wave equation. Simplifying equation for three different types potential, such as l...

We analyze the Kaluza–Klein type procedure in AdS3 space called dimensional degression. The topological theory of Fronsdal field is reformulated terms fields propagating AdS2. find that leads to finitely many modes. Namely, obtained spectrum massive Klein–Gordon and Proca result derived by using specific mode expansion, gauge fixing, 2–dimensional Schouten identities.

q-Analogues of the coefficients of x in the expansion of ∏N j=1(1 + x + · · · + x )j are proposed. Useful properties, such as recursion relations, symmetries and limiting theorems of the “q-supernomial coefficients” are derived, and a combinatorial interpretation using generalized Durfee dissection partitions is given. Polynomial identities of boson–fermion-type, based on the continued fraction...