The concept of sustainability is encouraged to preserve natural resources, social values, cultural heritage, and economic capital, which already exist to make available them for the next generations. Moreover, to enhance the level of sustainability in communities, numerous scholars indicated both individual and community identities play a crucial role. Sustainability is attainable and successfu...

We describe the design and implementation of an automatic identity authentication system which uses fingerprint to establish the identity of an individual. An improved minutia extraction algorithm that is much faster and more accurate than our earlier algorithm [12] has been implemented. An alignment-based elastic matching algorithm has been developed. This algorithm is capable of finding the c...

We derive identities for general ‡ows of Riemannian metrics that may be regarded as local mean-value, monotonicity, or Lyapunov formulae. These generalize previous work of the …rst author for mean curvature ‡ow and other nonlinear di¤usions. Our results apply in particular to Ricci ‡ow, where they yield a local monotone quantity directly analogous to Perelman’s reduced volume ~ V and a local id...

We find new periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions of nonlinear differential equations is successful as a consequence of some powerful, recen...

The present study is aimed at assessing the state of national identity among female students of Ahwaz Islamic Azad University and explores the social factors affecting upon it. The statistical society consisted of 8532 students at the three levels of associate diploma undergraduate and master degrees. The research method in this study is a “survey” and collection of data has been carried out by...

The nonlinear structures in 2D quantum gravity coupled to the (q + 1, q) minimal model are studied in the Liouville theory to clarify the factorization and the physical states. It is confirmed that the dressed primary states outside the minimal table are identified with the gravitational descendants. Using the discrete states of ghost number zero and one we construct the currents and investigat...

Brief review of the methods for solving the multicomponent nonlinear Schrödinger (MNLS) equations and analysis of their Hamiltonian structures is given. Main attention is paid to the MNLS related to the C.IIand D.III-types symmetric spaces with nonvanishing (constant) boundary conditions. The spectral properties of their Lax operators are described. The derivation of the trace identities is out...

Recently, differential equations for Changhee polynomials and their applications were introduced by Kim et al. and by using their differential equations, they derived some new identities on Changhee polynomials. Specially, they presented Changhee polynomials Chn+N(x) by sums of lower terms of Changhee polynomials Chn(x). Compare to the result, Kim et al. described Changhee polynomials Chn+N(x) ...

This study revisits bounds on the projection of the global attractor in the energy–enstrophy plane for 2D incompressible turbulence [Dascaliuc, Foias, and Jolly 2005, 2010]. In addition to providing more elegant proofs of some of the required nonlinear identities, the treatment is extended from the case of constant forcing to the more realistic case of random forcing. Numerical simulations in p...

We establish a uniqueness theorem and Liouville type result for positive radial solutions of some classes nonlinear autonomous equation with the k -Hessian operator. also give interesting qualitative properties solutions. provide an approach, based upon Pohozaev-type identity, that unifies all our results.