Alfred Grundland, Université de Montréal

Research

Read how they describe their research on their Université de Montréal profile.

Systèmes non-linéaires Supersymétrie Modèles sigma Solitons

Latest papers

Quasi-rectifiable Lie algebras for partial differential equations
Nonlinearity · 2025 · first author
A purely analytic derivation of Bonnet surfaces
Journal of Geometry and Physics · 2025 · senior author
On Riemann wave superpositions obtained from the Euler system
Open Communications in Nonlinear Mathematical Physics · 2025 · senior author

All 170 publications

From the 150 most recent of 170 publications.

01

Quasi-rectifiable Lie algebras for partial differential equations

A. M. Grundland, Javier de Lucas

Nonlinearity20253 citationsFirst authorOpen Access

DOI: 10.1088/1361-6544/ada50e

02

A purely analytic derivation of Bonnet surfaces

Robert Conte, A. M. Grundland

Journal of Geometry and Physics20251 citationsSenior authorOpen Access

DOI: 10.1016/j.geomphys.2025.105454

03

On Riemann wave superpositions obtained from the Euler system

Łukasz Chomienia, A. M. Grundland

Open Communications in Nonlinear Mathematical Physics2025Senior authorOpen Access

DOI: 10.46298/ocnmp.16908

04

Nonlinear wave superpositions and quasi-rectifiable Lie modules

Łukasz Chomienia, A. M. Grundland

arXiv (Cornell University)2025Senior authorOpen Access

DOI: 10.48550/arxiv.2504.14756

05

A purely analytic derivation of Bonnet surfaces

Robert Conte, A. M. Grundland

arXiv (Cornell University)2025Senior authorOpen Access

DOI: 10.48550/arxiv.2502.11815

06

Stability analysis of the ( 1 + 1 ) -dimensional Nambu–Goto action gas models

A. M. Grundland, Javier de Lucas, Bartosz M. Zawora

Journal of Physics A Mathematical and Theoretical2025First authorOpen Access

DOI: 10.1088/1751-8121/ae280f

07

On Riemann wave superpositions obtained from the Euler system

Łukasz Chomienia, A. M. Grundland

arXiv (Cornell University)2025Senior authorOpen Access

DOI: 10.48550/arxiv.2510.09576

08

On k-wave solutions of quasilinear systems of partial differential equations

A. M. Grundland

Open Communications in Nonlinear Mathematical Physics20241 citationsFirst authorOpen Access

DOI: 10.46298/ocnmp.11341

09

Recurrence Relations and General Solution of the Exceptional Hermite Equation

A. M. Grundland, Danilo Latini, Ian Marquette

Annales Henri Poincaré20232 citationsFirst author

DOI: 10.1007/s00023-023-01395-x

10

On k-wave solutions of quasilinear systems of partial differential equations

A. M. Grundland

arXiv (Cornell University)20231 citationsFirst authorOpen Access

DOI: 10.48550/arxiv.2305.04090

Frequent collaborators

Département de mathématiques et de statistique
Physics
Department of Mathematics and Statistics

Co-authors at Université de Montréal, colored by department. Thicker lines mean more shared papers; select anyone to open their profile and their own map.

Pavel Winternitz

Département de mathématiques et de statistique

16 shared papers, latest 2008

John Harnad

Department of Mathematics and Statistics

3 shared papers, latest 2005

Véronique Hussin

Département de mathématiques et de statistique

1 shared papers, latest 2003

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Subject: Prospective PhD student: Systèmes non-linéaires Dear Professor Grundland, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "Quasi-rectifiable Lie algebras for partial differential equations" (2025), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]

Alfred Grundland

Research

Latest papers

Quasi-rectifiable Lie algebras for partial differential equations

A purely analytic derivation of Bonnet surfaces

On Riemann wave superpositions obtained from the Euler system

Nonlinear wave superpositions and quasi-rectifiable Lie modules

A purely analytic derivation of Bonnet surfaces

Stability analysis of the ( 1 + 1 ) -dimensional Nambu–Goto action gas models

On Riemann wave superpositions obtained from the Euler system

On k-wave solutions of quasilinear systems of partial differential equations

Recurrence Relations and General Solution of the Exceptional Hermite Equation

On k-wave solutions of quasilinear systems of partial differential equations

Frequent collaborators

Pavel Winternitz

Jack Tuszynski

Jacek Tuszynski

John Harnad

Véronique Hussin