[HTML][HTML] Bosonization, symmetry reductions, mapping and deformation method for B-extension of Sawada–Kotera equation

PF Wei, Y Liu, XR Zhan, JL Zhou, B Ren - Results in Physics, 2023 - Elsevier
Abstract An extended (2+ 1)-dimensional shallow water wave (SWW) model governs the
evolution of nonlinear shallow water wave propagation in two spatial and a temporal …

Interaction solutions for supersymmetric mKdV-B equation

B Ren - Chinese Journal of Physics, 2016 - Elsevier
Abstract The N= 1 supersymmetric mKdV-B system is transformed to a system of coupled
bosonic equations by using the bosonization approach. The bosonized supersymmetric …

[HTML][HTML] Painlevé analysis, nonlocal symmetry and explicit interaction solutions for supersymmetric mKdVB equation

B Ren - AIP Advances, 2016 - pubs.aip.org
The N= 1 supersymmetric mKdVB system is transformed to a coupled bosonic system by
using the bosonization approach. By a singularity structure analysis, the bosonized …

On a set of Grassmann-valued extensions of systems of ordinary differential equations

M Légaré - arXiv preprint arXiv:1903.12051, 2019 - arxiv.org
Formulations of some Grassmann-valued systems of ordinary differential equations invariant
under (infinitesimal) supersymmetry transformations, including $ N $-superspace extended …

A new kind of nonlocal symmetry for the μ‐Camassa‐Holm equation with linear dispersion

Z Shi, J Du - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
The μ‐Camassa‐Holm equation with linear dispersion is a completely integrable model. In
this paper, it is shown that this equation has quadratic pseudo‐potentials that allow us to …

[PDF][PDF] AMBIGUITIES IN THE ASSOCIATION BETWEEN SYMMETRIES AND CONSERVATION LAWS IN THE PRESENCE OF ALTERNATIVE LAGRANGIAN …

A Choudhuri, S Ghosh, B Talukdar - Acta Physica Polonica B, 2011 - researchgate.net
It is well known that the formal description for the connection between symmetry properties
and conserved quantities of a dynamical system is provided by Noether's theorem [1]. This …