TWO-DIMENSIONAL DISPERSIONLESS TODA LATTICE HIERARCHY: SYMMETRY, NEW EXTENSION, HODOGRAPH SOLUTIONS, AND REDUCTION

Two-Dimensional Dispersionless Toda Lattice Hierarchy: Symmetry, New Extension, Hodograph Solutions, and Reduction

The symmetry for two-dimensional (2D) dispersionless Toda lattice hierarchy (dTLH) is firstly derived, and then the 2D dTLH is extended read more based on the symmetry constraint.The commutativity of two different flows for this new hierarchy is shown, which leads to the 2D dToda lattice equation with self-consistent sources (dTLESCSs) together wit

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Fertility quantum and tempo with cubic age-specific birth rates

OBJECTIVE: To demonstrate the analytical value of a cubic parameterization the gel bottle audrey of the age curve of fertility and to explore its features, especially its usefulness in separating fertility level and fertility timing.METHODS: Using mathematical analysis, the cubic fertility curve is derived and examined in both continuous and discre

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Revised checklist of endemic vascular plants of Kazakhstan

We compiled a checklist of endemic vascular plants occurring in Kazakhstan, employing an exhaustive examination of literature sources, herbarium collections, databases and field observations.Our study reveals that 451 taxa can be considered endemic to Kazakhstan, constituting 7.97% of the total vascular plant diversity in the country.These endemic

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INTERCULTURAL MISUNDERSTANDINGS: CAUSES AND SOLUTIONS

Intercultural misunderstandings involve a number of complex causes which can easily escalate into conflicts.Since conflicts are also complex, it is not easy to find solutions because there is no one solution for all problems.Systems Theory, transdisciplinarity, and the social ecological model take a holistic approach in investigating complex phenom

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