3 papers
nlin.PS2026
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…
nlin.SI2025
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…
math-ph2025
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 symm…