Algebro-geometric solutions of the lattice potential modified Kadomtsev-Petviashvili (lpmKP) equation are constructed. A Darboux transformation Kaup--Newell spectral problem is employed to generate a Lax triad for lpmKP equation, as well define commutative integrable symplectic maps which discrete flows eigenfunctions. These share same integrals with finite-dimensional Hamiltonian system associ...

Since her death on the Isle of France (Mauritius) in 1812, Harriet Newell has come to us as a martyr early nineteenth-century missionary movement and - more than that single book: Memoirs Mrs. Newell, published 1814 by Samuel Armstrong Boston. Exploring Bewell’s reading habits allusion, our essay explores what it would mean read first readers encountered her: an engaging correspondent chronicle...

Este artigo propõe uma análise comparativa dos métodos SCAN e BESAG&NEWELL definidos como testes genéricos de conglomerados espaciais. O objetivo do trabalho é explorar as peculiaridades de cada método avaliando o seu desempenho e o seu poder de identificação. O método BESAG&NEWELL necessita do ajuste de parâmetros por parte do usuário, sendo sensı́vel à escolha dos mesmos. O resultado final é a...

The (constrained) canonical reduction of four-dimensional self-dual Yang–Mills theory to two-dimensional Fitzhugh–Nagumo and the real Newell–Whitehead equations are considered. On the other hand, other methods and transformations are developed to obtain exact solutions for the original two-dimensional Fitzhugh–Nagumo and Newell– Whitehead equations. The corresponding gauge potential Al and the ...