Norbert Euler

Physics and Astronomy · Physical Sciences

17h-index901citations131works0.02yr avg
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Research Topics

Nonlinear Waves and Solitons(88), Nonlinear Photonic Systems(53), Numerical methods for differential equations(32), Quantum chaos and dynamical systems(16), Advanced Differential Equations and Dynamical Systems(16)

Publications131 total

On differential equations invariant under a projective transformation group: integrability and reductions
Open Communications in Nonlinear Mathematical Physics·2025Open Access
Two sequences of fully-nonlinear evolution equations and their symmetry properties
Open Communications in Nonlinear Mathematical Physics·2025Open Access
From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
Open Communications in Nonlinear Mathematical Physics·2025Open Access
Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies
arXiv (Cornell University)·2025Open Access
On differential equations invariant under a projective transformation group: integrability and reductions
ArXiv.org·2025Open Access
On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
Open Communications in Nonlinear Mathematical Physics·2024Open Access
Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
Open Communications in Nonlinear Mathematical Physics·2024Open Access
On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators
Open Communications in Nonlinear Mathematical Physics·2022· 1 citedOpen Access
On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators
arXiv (Cornell University)·2022Open Access
Nonlinear Systems and Their Remarkable Mathematical Structures
2021· 9 cited
Ordinary differential equations invariant under two-variable Möbius transformations
Applied Mathematics Letters·2021· 2 citedOpen Access
On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three
Journal of Nonlinear Mathematical Physics·2020· 2 citedOpen Access
Compacton equations and integrability: The Rosenau-Hyman and Cooper-Shepard-Sodano equations
Discrete and Continuous Dynamical Systems·2019· 2 citedOpen Access
On Möbius‐invariant and symmetry‐integrable evolution equations and the Schwarzian derivative
Studies in Applied Mathematics·2019· 8 cited
Compacton equations and integrability: the Rosenau-Hyman and\n Cooper-Shepard-Sodano equations
arXiv (Cornell University)·2019Open Access
New results on integrability of the Kahan-Hirota-Kimura discretizations
2018· 6 cited
On the rôle of nonlinearity in geostrophic ocean flows on a sphere
2018· 1 cited
Review of results on a system of the type many predators - one prey
2018
Computing symmetries and recursion operators of evolutionary super-systems using the SsTools environment
2018
Algebraic traveling waves for the generalized KdV-Burgers equation and the Kuramoto-Sivashinsky equation
2018
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Frequent Co-authors

Marianna Euler(22), W.‐H. Steeb(13), P. G. L. Leach(6), Ove Lindblom(4), L.G.S. Duarte(3), Isabel C. Moreira(3), M W Shul'ga(2), Astri Kohler(2), Tobias Wolf(1), A. Köhler(1), Victor Wepener(1), J.H.J. Van Vuren(1), H.H. Du Preez(1), Niclas Petersson(1), P. R. Samson(1), Olivier Dubrule(1), Willi-Hans Steeb(1), N. Anders Petersson(1), K Cyrus(1), Thomas Wolf(1)