"Doubled" generalized Landau-Lifshiz hierarchies and special quasigraded Lie algebras

Using special quasigraded Lie algebras we obtain new hierarchies of integrable nonlinear vector equations admitting zero-curvature representations. Among them the most interesting is extension of the generalized Landau-Lifshitz hierarchy which we call "doubled" generalized Landau-Lifshiz hierarchy. This hierarchy can be also interpreted as an anisotropic vector generalization of "modified" Sine-Gordon hierarchy or as a very special vector generalization of so(3) anisotropic chiral field hierarchy.Comment: 16 pages, no figures, submitted to Journal of Physics

The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra

We investigate closed ideals in the Grassmann algebra serving as bases of Lie-invariant geometric objects studied before by E. Cartan. Especially, the E. Cartan theory is enlarged for Lax integrable nonlinear dynamical systems to be treated in the frame work of the Wahlquist Estabrook prolongation structures on jet-manifolds and Cartan-Ehresmann connection theory on fibered spaces. General structure of integrable one-forms augmenting the two-forms associated with a closed ideal in the Grassmann algebra is studied in great detail. An effective Maurer-Cartan one-forms construction is suggested that is very useful for applications. As an example of application the developed Lie-invariant geometric object theory for the Burgers nonlinear dynamical system is considered having given rise to finding an explicit form of the associated Lax type representation

Topological excitations in 2D spin system with high spin s>=1s>= 1

We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction. The quantum model is associated with a classical one (the continuous classical analogue) that is based on a Landau-Lifshitz like equation, and describes large-scale fluctuations of the mean field. On the other hand, the classical model is a Hamiltonian system on a coadjoint orbit of the unitary group SU($2s {+} 1$) in the case of spin $s$. We have found a class of mean field configurations that can be interpreted as topological excitations, because they have fixed topological charges. Such excitations change their shapes and grow preserving an energy.Comment: 10 pages, 1 figur

Dressing Technique for Intermediate Hierarchies

A generalized AKNS systems introduced and discussed recently in \cite{dGHM} are considered. It was shown that the dressing technique both in matrix pseudo-differential operators and formal series with respect to the spectral parameter can be developed for these hierarchies.Comment: 16 pages, LaTeX Report/no: DFTUZ/94/2

The Vacuum Structure, Special Relativity and Quantum Mechanics Revisited: a Field Theory No-Geometry Approach within the Lagrangian and Hamiltonian Formalisms. Part 2

The main fundamental principles characterizing the vacuum field structure are formulated and the modeling of the related vacuum medium and charged point particle dynamics by means of devised field theoretic tools are analyzed. The work is devoted to studying the vacuum structure, special relativity, electrodynamics of interacting charged point particles and quantum mechanics, and is a continuation of \cite{BPT,BRT1}. Based on the vacuum field theory no-geometry approach, the Lagrangian and Hamiltonian reformulation of some alternative classical electrodynamics models is devised. The Dirac type quantization procedure, based on the canonical Hamiltonian formulation, is developed for some alternative electrodynamics models. Within an approach developed a possibility of the combined description both of electrodynamics and gravity is analyzed.Comment: 11 page

Теорія та практика менеджменту безпеки

У збірнику подано тези доповідей та виступів учасників Міжнародної науково-практичної конференції, присвяченої питанням теорії менеджменту безпеки, безпеки особистості, прикладним аспектам забезпечення соціальної, екологічної, економічної безпеки підприємств, питанням механізму забезпечення соціоекологоекономічної безпеки регіону, проблемам забезпечення національної безпеки

Analysis of the Adoption of CSA Practices for Cocoa Farmers in Lampung Province, Sumatra

Many cocoa farmers in Lampung Province are increasingly facing losses in cocoa yields. Loses are attributed to increased variability in rainfall and rampant growth of pest and disease; farmers also attribute the loss to rising temperatures, but there have not been quantitative results found for this claim. Climate-smart agriculture (CSA) implementation is considered a viable solution to address the problems that local farmers are facing. The CSA practices analyzed in this paper included (1) regular pruning, (2) use of organic fertilizers, (3) field sanitation, and (4) side-grafting. This case study explores characteristics of farmers who adopt the climate-smart cocoa practices, the potential personal benefits to farmers of adopting these practices and seeks to understand why the adoption of climate-smart practices has been low for cocoa farmers in the region. The multivariate probit regression modeled in the paper found that adoption of CSA practices was positively correlated with receiving training, increased education, and available livestock, being male, and observing climate impacts. CSA adoption was negatively correlated with having higher numbers of cash crops and experiencing cocoa crop damage due to weather events. The regression analysis also showed that CSA practices were all positively correlated with each other thus could be potentially complementary practices. An ex-ante cost-benefit analysis (CBA) found high net present values of incremental net benefits when adopting CSA practices. However, the large costs of investment yielded negative net benefits for the first few years following adoption implementation. Based on focus group discussions and interviews conducted in July 2017, an ethnographic interpretation of the region sought to determine why adoption of CSA practices was low, even with the high personal benefits of CSA adoption found in the cost-benefit analysis. This analysis found that barriers to adoption included lack of agriculture equipment, price constraints, borrowing constraints, and incomplete knowledge of adopting the practices. The combination of these constraints made adoption of CSA practices riskier than what was displayed in the CBA results. This case study suggests that financial assistance programs should be targeted towards farmer groups to limit these constraints. In addition, training of cocoa farmers on CSA practices should be more ongoing and technical, especially for women in the region, to decrease the risks of failure to their adoption

Analysis of the Adoption of CSA Practices for Cocoa Farmers in Lampung Province, Sumatra

Many cocoa farmers in Lampung Province are increasingly facing losses in cocoa yields. Loses are attributed to increased variability in rainfall and rampant growth of pest and disease; farmers also attribute the loss to rising temperatures, but there have not been quantitative results found for this claim. Climate-smart agriculture (CSA) implementation is considered a viable solution to address the problems that local farmers are facing. The CSA practices analyzed in this paper included (1) regular pruning, (2) use of organic fertilizers, (3) field sanitation, and (4) side-grafting. This case study explores characteristics of farmers who adopt the climate-smart cocoa practices, the potential personal benefits to farmers of adopting these practices and seeks to understand why the adoption of climate-smart practices has been low for cocoa farmers in the region. The multivariate probit regression modeled in the paper found that adoption of CSA practices was positively correlated with receiving training, increased education, and available livestock, being male, and observing climate impacts. CSA adoption was negatively correlated with having higher numbers of cash crops and experiencing cocoa crop damage due to weather events. The regression analysis also showed that CSA practices were all positively correlated with each other thus could be potentially complementary practices. An ex-ante cost-benefit analysis (CBA) found high net present values of incremental net benefits when adopting CSA practices. However, the large costs of investment yielded negative net benefits for the first few years following adoption implementation. Based on focus group discussions and interviews conducted in July 2017, an ethnographic interpretation of the region sought to determine why adoption of CSA practices was low, even with the high personal benefits of CSA adoption found in the cost-benefit analysis. This analysis found that barriers to adoption included lack of agriculture equipment, price constraints, borrowing constraints, and incomplete knowledge of adopting the practices. The combination of these constraints made adoption of CSA practices riskier than what was displayed in the CBA results. This case study suggests that financial assistance programs should be targeted towards farmer groups to limit these constraints. In addition, training of cocoa farmers on CSA practices should be more ongoing and technical, especially for women in the region, to decrease the risks of failure to their adoption