A family of deformed models the sine–Gordon-type can be generated by twisting sine–Gordon model. As a particular case, 3-sine–Gordon model is here addressed, whose differential configurational entropy and complexity three topological sectors are discussed using two complementary approaches. Stability aspects also discussed.

In previous papers, the Fourier transform (FT) has been generalized into the fractional Fourier transform (FRFT), the linear canonical transform (LCT), and the simplified fractional Fourier transform (SFRFT). Because the cosine, sine, and Hartley transforms are very similar to the FT, it is reasonable to think they can also be generalized by the similar way. In this paper, we will introduce sev...

In this paper, by a concise and elementary approach, we sharpen and generalize Shafer’s inequality for the arc sine function, and some known results are extended and generalized.

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim σ-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F ⊃ G ⊃ H . We show that for every symmetric space F/G, the generalized sine-Gordon models can be derived from the G/H WZW action, p...

Abstract. We investigate the low-energy properties of a generalized quantum sine-Gordon model in one dimension with a self-dual symmetry. This model describes a class of quantum phase transitions that stems from the competition of different orders. This SU(N ) self-dual sine-Gordon model is shown to be equivalent to an SO(N )2 conformal field theory perturbed by a current-current interaction, w...

We discuss the relationship between two-dimensional (2D) dilaton gravity models and sine-Gordon-like field theories. We show that there is a one-to-one correspondence between the solutions of 2D dilaton gravity and the solutions of a (two fields) generalization of the sine-Gordon model. In particular, we find a connection between the soliton solutions of the generalized sine-Gordon model and ex...

In the paper, authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine tangent, composite incomplete gamma function with hyperbolic sine, in terms first kind Stirling numbers, apply a newly established expansion to derive closed-form formula specific partial Bell polynomials representation generalized logsine function, deduce combinatorial involving...