5 citations · 5 across the 2 of their papers we have counts for
4 papers
A new family of deformed trigonometric functions and their corresponding Pythagorean-like relations: application to the nonlinear harmonic oscillator
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
In this work we present an extension of the classical trigonometric functions which include, amongst others, the Lindqvist p-trigonometric functions. Additionally, we show their re…
Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice
Jonathan AD Wattis, Pilar R Gordoa, Andrew Pickering
We describe a nonlinear kagome lattice with nonlinear dynamics described by Klein-Gordon interactions with a scalar unknown at each node, such as might occur in a nonlinear electri…
Sundman-like transformations and the NRT nonlinear Schrödinger equation
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
We present a new generalization of the well-known power-type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. O…
Generalized and new solutions of the NRT nonlinear Schrödinger equation
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
In this paper we present new solutions of the non-linear Schröodinger equation proposed by Nobre, Rego-Monteiro and Tsallis for the free particle, obtained from different Lie symme…