27 citations · 112 across the 27 of their papers we have counts for
18 papers · 1 filter
On Riemann wave superpositions obtained from the Euler system
Łukasz Chomienia, Alfred Michel Grundland
The paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions. A review of r…
Nonlinear wave superpositions and quasi-rectifiable Lie modules
Łukasz Chomienia, Alfred Michel Grundland
This paper presents a study of nonlinear superpositions of Riemann wave solutions admitted by quasilinear hyperbolic first-order systems of partial differential equations. In parti…
Stability analysis of the -dimensional Nambu-Goto action gas models
Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora
The aim of this paper is to perform a nonlinear stability analysis of the -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…
The Lie algebra of the lowest transitively differential group of degree three
Alfred Michel Grundland, Ian Marquette
We investigate the real Lie algebra of first-order differential operators with polynomial coefficients, which is subject to the following requirements. (1) The Lie algebra should a…
The spin representations via sigma models
P. P. Goldstein, A. M. Grundland, A. M. Escobar Ruiz
We establish and analyze a new relationship between the matrices describing an arbitrary component of a spin , where , and the matrices of …
Properties of soliton surfaces associated with integrable sigma models
Sanjib Dey, A. M. Grundland
We investigate certain properties of -valued two-dimensional soliton surfaces associated with the integrable sigma models constructed by the o…