Self-pulsing laser as oscillator Toda: approximations through elementary functions

Bulk scattering approximations for HeNe laser transmitted through paper.

An experimental set-up was devised to record the transmission of red and green HeNe lasers through different types of paper. The measured data was compared with data obtained using the Henyey-Greenstein function (often employed in paper optics models to represent the bulk scattering of material samples) and data obtained using an alternative exponentiated cosine function. The comparisons are us...

Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation

We present the q-deformed multivariate hypergeometric functions related to Schur polynomials as tau-functions of the KP and of the two-dimensional Toda lattice hierarchies. The variables of the hypergeometric functions are the higher times of those hierarchies. The discrete Toda lattice variable shifts parameters of hypergeometric functions. The role of additional symmetries in generating hyper...

Triangular approximations of fuzzy number with value and ambiguity functions

Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions

1 Departamento de Fı́sica, Ingenierı́a de Sistemas y Teorı́a de la Señal, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 2 Instituto Universitario de Fı́sica Aplicada a las Ciencias y las Tecnologı́as, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 3 Departamento de Ciencias Médicas, Facultad de Medicina, Universidad de Castilla-La Mancha, C/Almansa No. 14, 02006 Albacete, ...

Toda Theories as Contractions of Affine Toda Theories

Using a contraction procedure, we obtain Toda theories and their structures, from affine Toda theories and their corresponding structures. By structures, we mean the equation of motion, the classical Lax pair, the boundary term for half line theories, and the quantum transfer matrix. The Lax pair and the transfer matrix so obtained, depend nontrivially on the spectral parameter. A Toda field th...