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Euler, Norbert

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Author ID: euler.norbert Recent zbMATH articles by "Euler, Norbert"
Published as: Euler, N.; Euler, Norbert
Documents Indexed: 67 Publications since 1987, including 2 Books
5 Contributions as Editor

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 299 times in 201 Documents Cited by Year
Nonlinear evolution equations and Painlevé test. Zbl 0723.34001
Steeb, W.-H.; Euler, N.
34
1988
Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\). Zbl 1054.34002
Euler, N.; Wolf, T.; Leach, P. G. L.; Euler, M.
30
2003
Sundman symmetries of nonlinear second-order and third-order ordinary differential equations. Zbl 1075.34033
Euler, Norbert; Euler, Marianna
29
2004
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
22
2007
Recursion operators for a class of integrable third-order evolution equations. Zbl 1141.37354
Petersson, Niclas; Euler, Norbert; Euler, Marianna
15
2004
On the construction of approximate solutions for a multidimensional nonlinear heat equation. Zbl 0837.35065
Euler, M.; Euler, N.; Köhler, A.
15
1994
Approximate symmetries and approximate solutions for a multidimensional Landau-Ginzburg equation. Zbl 0764.35096
Euler, N.; Shul’ga, M. W.; Steeb, W.-H.
14
1992
On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations: two linearisable hierarchies. Zbl 1284.35021
Euler, Norbert; Euler, Marianna
14
2009
Linearizable hierarchies of evolution equations in \((1+1)\) dimensions. Zbl 1141.37351
Euler, M.; Euler, N.; Petersson, N.
13
2003
Transformation properties of \(\ddot x+f_1(t)\dot x+f_2(t)x+f_3(t)x^n=0\). Zbl 0949.34028
Euler, Norbert
10
1997
A tree of linearisable second-order evolution equations by generalised hodograph transformations. Zbl 0997.35093
Euler, Norbert; Euler, Marianna
7
2001
Symmetry properties of the approximations of multidimensional generalized van der Pol equations. Zbl 0954.35114
Euler, Norbert; Euler, Marianna
7
1994
Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040
Euler, N.; Leach, P. G. L.
7
2009
Nonlinear evolution equations and Painlevé test. Zbl 0764.35098
Steeb, W.-H.; Euler, N.
5
1992
Auto-hodograph transformations for a hierarchy of nonlinear evolution equations. Zbl 0983.35006
Euler, N.; Gandarias, M. L.; Euler, M.; Lindblom, O.
5
2001
Solutions of discrete-velocity Boltzmann equations via Bateman and Riccati equations. Zbl 1031.82042
Lindblom, O.; Euler, N.
5
2002
First integrals and reduction of a class of nonlinear higher order ordinary differential equations. Zbl 1055.34076
Euler, N.; Leach, P. G. L.
5
2003
Second-order recursion operators of third-order evolution equations with fourth-order integrating factors. Zbl 1160.37393
Euler, Marianna; Euler, Norbert
5
2007
Transformation between a generalized Emden-Fowler equation and the first Painlevé transcendent. Zbl 1133.34302
Euler, Marianna; Euler, Norbert; Strömberg, Anders; Åström, Erik
4
2007
Continuous symmetries, Lie algebras and differential equations. Zbl 0755.35112
Euler, Norbert; Steeb, Willi-Hans
4
1992
On exact solutions for damped anharmonic oscillators. Zbl 0677.34037
Euler, N.; Steeb, W.-H.; Cyrus, K.
4
1989
Multipotentialisations and iterating-solution formulae: the Krichever-Novikov equation. Zbl 1362.35259
Euler, Norbert; Euler, Marianna
4
2009
On Möbius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative. Zbl 1423.35335
Euler, Marianna; Euler, Norbert
3
2019
Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations. Zbl 1431.37054
Hernández Heredero, Rafael; Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
3
2020
Symmetry vector fields and similarity solutions of a nonlinear field equation describing the relaxation to a Maxwell distribution. Zbl 0697.35141
Euler, N.; Leach, P. G. L.; Mahomed, F. M.; Steeb, W.-H.
3
1988
Invertible point transformations, Painlevé analysis and anharmonic oscillators. Zbl 0721.34033
Duarte, L. G. S.; Euler, N.; Moreira, I. C.; Steeb, W.-H.
3
1990
Symmetries for a class of explicitly space- and time-dependent (1+1)-dimensional wave equations. Zbl 0948.35081
Euler, M.; Euler, N.
3
1997
Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations. Zbl 1420.37060
Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
3
2017
A novel Riccati sequence. Zbl 1362.34005
Leach, P. G. L.; Euler, N.
3
2009
Lie symmetries and Painlevé test for explicitly space- and time- dependent nonlinear wave equations. Zbl 0773.35067
Euler, N.; Shul’ga, M. W.; Steeb, W.-H.
2
1993
Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry. Zbl 1200.34040
Leach, P. G. L.; Warne, R. R.; Caister, N.; Naicker, V.; Euler, N.
2
2010
Reciprocal Bäcklund transformations of autonomous evolution equations. Zbl 1179.35265
Euler, M.; Euler, N.; Lundberg, S.
2
2009
Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057
Euler, M.; Euler, N.; Leach, P. G. L.
2
2011
New evolution PDEs with many isochronous solutions. Zbl 1177.35046
Calogero, F.; Euler, M.; Euler, N.
1
2009
Painlevé test and energy level motion. Zbl 0699.34029
Steeb, W.-H.; Brits, S. J. M.; Euler, N.
1
1990
Comment on “Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions”. Zbl 0754.35167
Hereman, W.; Steeb, W.-H.; Euler, N.
1
1992
Parametrically driven pendulum and exact solutions. Zbl 0760.70013
Steeb, W.-H.; Euler, N.
1
1992
\(n\)-dimensional Bateman equation and Painlevé analysis of wave equations. Zbl 0949.35094
Euler, Norbert; Lindblom, Ove
1
2000
\(Q\)-symmetry generators and exact solutions for nonlinear heat conduction. Zbl 1063.58503
Euler, N.; Köhler, A.; Fushchich, W. I.
1
1994
Invertible point transformations, Lie symmetries and the Painlevé test for the equation \(\ddot x+f_ 1(t)\dot x+f_ 2(t)x+f_ 3(t)x^ n=0\). Zbl 1063.37561
Duarte, L. G. S.; Moreira, I. C.; Euler, N.; Steeb, W.-H.
1
1991
Nonlinear differential equations, Lie symmetries and the Painlevé test. Zbl 0790.34015
Euler, N.; Steeb, W.-H.
1
1993
Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations. Zbl 1255.35014
Euler, Marianna; Euler, Norbert
1
2012
Integrating factors and conservation laws for some Camassa-Holm type equations. Zbl 1282.35295
Euler, Marianna; Euler, Norbert
1
2012
An alternate view on symmetries of second-order linearisable ordinary differential equations. Zbl 1266.34055
Euler, Norbert; Euler, Marianna
1
2012
A class of semilinear fifth-order evolution equations: recursion operators and multipotentialisations. Zbl 1362.35007
Euler, Marianna; Euler, Norbert
1
2011
Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations. Zbl 1431.37054
Hernández Heredero, Rafael; Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
3
2020
On Möbius-invariant and symmetry-integrable evolution equations and the Schwarzian derivative. Zbl 1423.35335
Euler, Marianna; Euler, Norbert
3
2019
Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations. Zbl 1420.37060
Euler, Marianna; Euler, Norbert; Reyes, Enrique G.
3
2017
Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations. Zbl 1255.35014
Euler, Marianna; Euler, Norbert
1
2012
Integrating factors and conservation laws for some Camassa-Holm type equations. Zbl 1282.35295
Euler, Marianna; Euler, Norbert
1
2012
An alternate view on symmetries of second-order linearisable ordinary differential equations. Zbl 1266.34055
Euler, Norbert; Euler, Marianna
1
2012
Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence. Zbl 1252.37057
Euler, M.; Euler, N.; Leach, P. G. L.
2
2011
A class of semilinear fifth-order evolution equations: recursion operators and multipotentialisations. Zbl 1362.35007
Euler, Marianna; Euler, Norbert
1
2011
Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry. Zbl 1200.34040
Leach, P. G. L.; Warne, R. R.; Caister, N.; Naicker, V.; Euler, N.
2
2010
On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations: two linearisable hierarchies. Zbl 1284.35021
Euler, Norbert; Euler, Marianna
14
2009
Aspects of proper differential sequences of ordinary differential equations. Zbl 1190.34040
Euler, N.; Leach, P. G. L.
7
2009
Multipotentialisations and iterating-solution formulae: the Krichever-Novikov equation. Zbl 1362.35259
Euler, Norbert; Euler, Marianna
4
2009
A novel Riccati sequence. Zbl 1362.34005
Leach, P. G. L.; Euler, N.
3
2009
Reciprocal Bäcklund transformations of autonomous evolution equations. Zbl 1179.35265
Euler, M.; Euler, N.; Lundberg, S.
2
2009
New evolution PDEs with many isochronous solutions. Zbl 1177.35046
Calogero, F.; Euler, M.; Euler, N.
1
2009
The Riccati and Ermakov-Pinney hierarchies. Zbl 1160.37394
Euler, Marianna; Euler, Norbert; Leach, Peter
22
2007
Second-order recursion operators of third-order evolution equations with fourth-order integrating factors. Zbl 1160.37393
Euler, Marianna; Euler, Norbert
5
2007
Transformation between a generalized Emden-Fowler equation and the first Painlevé transcendent. Zbl 1133.34302
Euler, Marianna; Euler, Norbert; Strömberg, Anders; Åström, Erik
4
2007
Sundman symmetries of nonlinear second-order and third-order ordinary differential equations. Zbl 1075.34033
Euler, Norbert; Euler, Marianna
29
2004
Recursion operators for a class of integrable third-order evolution equations. Zbl 1141.37354
Petersson, Niclas; Euler, Norbert; Euler, Marianna
15
2004
Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\). Zbl 1054.34002
Euler, N.; Wolf, T.; Leach, P. G. L.; Euler, M.
30
2003
Linearizable hierarchies of evolution equations in \((1+1)\) dimensions. Zbl 1141.37351
Euler, M.; Euler, N.; Petersson, N.
13
2003
First integrals and reduction of a class of nonlinear higher order ordinary differential equations. Zbl 1055.34076
Euler, N.; Leach, P. G. L.
5
2003
Solutions of discrete-velocity Boltzmann equations via Bateman and Riccati equations. Zbl 1031.82042
Lindblom, O.; Euler, N.
5
2002
A tree of linearisable second-order evolution equations by generalised hodograph transformations. Zbl 0997.35093
Euler, Norbert; Euler, Marianna
7
2001
Auto-hodograph transformations for a hierarchy of nonlinear evolution equations. Zbl 0983.35006
Euler, N.; Gandarias, M. L.; Euler, M.; Lindblom, O.
5
2001
\(n\)-dimensional Bateman equation and Painlevé analysis of wave equations. Zbl 0949.35094
Euler, Norbert; Lindblom, Ove
1
2000
Transformation properties of \(\ddot x+f_1(t)\dot x+f_2(t)x+f_3(t)x^n=0\). Zbl 0949.34028
Euler, Norbert
10
1997
Symmetries for a class of explicitly space- and time-dependent (1+1)-dimensional wave equations. Zbl 0948.35081
Euler, M.; Euler, N.
3
1997
On the construction of approximate solutions for a multidimensional nonlinear heat equation. Zbl 0837.35065
Euler, M.; Euler, N.; Köhler, A.
15
1994
Symmetry properties of the approximations of multidimensional generalized van der Pol equations. Zbl 0954.35114
Euler, Norbert; Euler, Marianna
7
1994
\(Q\)-symmetry generators and exact solutions for nonlinear heat conduction. Zbl 1063.58503
Euler, N.; Köhler, A.; Fushchich, W. I.
1
1994
Lie symmetries and Painlevé test for explicitly space- and time- dependent nonlinear wave equations. Zbl 0773.35067
Euler, N.; Shul’ga, M. W.; Steeb, W.-H.
2
1993
Nonlinear differential equations, Lie symmetries and the Painlevé test. Zbl 0790.34015
Euler, N.; Steeb, W.-H.
1
1993
Approximate symmetries and approximate solutions for a multidimensional Landau-Ginzburg equation. Zbl 0764.35096
Euler, N.; Shul’ga, M. W.; Steeb, W.-H.
14
1992
Nonlinear evolution equations and Painlevé test. Zbl 0764.35098
Steeb, W.-H.; Euler, N.
5
1992
Continuous symmetries, Lie algebras and differential equations. Zbl 0755.35112
Euler, Norbert; Steeb, Willi-Hans
4
1992
Comment on “Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions”. Zbl 0754.35167
Hereman, W.; Steeb, W.-H.; Euler, N.
1
1992
Parametrically driven pendulum and exact solutions. Zbl 0760.70013
Steeb, W.-H.; Euler, N.
1
1992
Invertible point transformations, Lie symmetries and the Painlevé test for the equation \(\ddot x+f_ 1(t)\dot x+f_ 2(t)x+f_ 3(t)x^ n=0\). Zbl 1063.37561
Duarte, L. G. S.; Moreira, I. C.; Euler, N.; Steeb, W.-H.
1
1991
Invertible point transformations, Painlevé analysis and anharmonic oscillators. Zbl 0721.34033
Duarte, L. G. S.; Euler, N.; Moreira, I. C.; Steeb, W.-H.
3
1990
Painlevé test and energy level motion. Zbl 0699.34029
Steeb, W.-H.; Brits, S. J. M.; Euler, N.
1
1990
On exact solutions for damped anharmonic oscillators. Zbl 0677.34037
Euler, N.; Steeb, W.-H.; Cyrus, K.
4
1989
Nonlinear evolution equations and Painlevé test. Zbl 0723.34001
Steeb, W.-H.; Euler, N.
34
1988
Symmetry vector fields and similarity solutions of a nonlinear field equation describing the relaxation to a Maxwell distribution. Zbl 0697.35141
Euler, N.; Leach, P. G. L.; Mahomed, F. M.; Steeb, W.-H.
3
1988
all top 5

Cited by 240 Authors

25 Euler, Norbert
19 Euler, Marianna
14 Leach, Peter Gavin Lawrence
12 Gandarias Núñez, Maria Luz
10 Senthilvelan, Murugaian
8 Ghose Choudhury, Anindya
8 Guha, Partha
7 Bruzón, Maria Santos
7 Lakshmanan, Muthusamy
7 Mahomed, Fazal M.
6 Chandrasekar, V. K.
6 Muriel, Concepción
6 Steeb, Willi-Hans
5 Kara, Abdul Hamid
5 Nucci, Maria Clara
4 Jamal, Sameerah
4 Khanra, Barun
4 Kudryashov, Nikolaĭ Alekseevich
4 Mustafa, Muhammad Tahir
4 Paliathanasis, Andronikos
4 Romero, Juan Luis
4 Sinelshchikov, Dmitry I.
4 Zhang, Zhiyong
3 Azad, Hassan
3 Chen, Yufu
3 Guo, Li
3 Khalique, Chaudry Masood
3 Meleshko, Sergey V.
3 Nadjafikhah, Mehdi
3 Ndogmo, Jean-Claude
3 Pamuk, Serdal
3 Suksern, Supaporn
3 Yong, Xuelin
3 Zaman, Fiazud Din
2 Anco, Stephen C.
2 Bhutani, Om Prakash
2 Bokhari, Ashfaque H.
2 Delgado, Joaquín F.
2 Gorgone, Matteo
2 Grebenev, Vladimir N.
2 Gümral, Hasan
2 Halder, Amlan K.
2 Harko, Tiberiu
2 Hereman, Willy A.
2 Ilyin, O. V.
2 Kang, Jing
2 Lashkarian, Elham
2 Liu, Linlin
2 Mahdavi, Abolhassan
2 Mohanasubha, R.
2 Moussa, M. H. M.
2 Moyo, Sibusiso
2 Nakpim, Warisa
2 Núñez Yépez, H. N.
2 Oberlack, Martin
2 Oliveri, Francesco
2 Özer, Teoman
2 Pradeep, R. Gladwin
2 Qu, Changzheng
2 Reyes, Enrique G.
2 Salas-Brito, Alvaro L.
2 Tian, Bo
2 Xia, Yarong
2 Xin, Xiangpeng
2 Yao, Ruoxia
2 Yomba, Emmanuel
1 Ahmed, Saeed
1 Ahmed, Waheed A.
1 Al-Ali, Usamah S.
1 Al-Juaifri, Ghassan A.
1 Alexeyev, Alexander A.
1 Alfalqi, S. H.
1 Alonso, Juan J.
1 Alzaidi, J. F.
1 Andriopoulos, Kostis
1 Ayub, Muhammad
1 Babu Joseph, K.
1 Bai, Chengming
1 Bai, Ruipu
1 Bai, Zhongzhi
1 Baldwin, Douglas E.
1 Ballesteros, Angel
1 Bamba, Kazuharu
1 Bhattacharya, Lipika
1 Bhuvaneswari, A.
1 Bindu, P. S.
1 Brits, Susanah J. M.
1 Caister, Nicolette C.
1 Calogero, Francesco A.
1 Camacho, Jose Carlos
1 Chai, Jun
1 Chakrabarti, Soumya
1 Chan, Raymond Hon-Fu
1 Charalambous, Kyriakos
1 Chen, Degang
1 Cheng, Jipeng
1 Cimpoiasu, Rodica
1 Clarkson, Peter A.
1 Coiculescu, Matei P.
1 Constantinescu, Radu D.
...and 140 more Authors
all top 5

Cited in 71 Serials

31 Journal of Nonlinear Mathematical Physics
11 Applied Mathematics and Computation
10 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Mathematical Analysis and Applications
8 Journal of Mathematical Physics
8 Theoretical and Mathematical Physics
6 International Journal of Theoretical Physics
6 Chaos, Solitons and Fractals
6 Nonlinear Dynamics
6 Nonlinear Analysis. Real World Applications
5 Studies in Applied Mathematics
4 Journal of Engineering Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Quaestiones Mathematicae
4 Advances in Mathematical Physics
3 Communications in Algebra
3 Computers & Mathematics with Applications
3 Journal of Geometry and Physics
3 Applied Mathematics Letters
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Symbolic Computation
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Lobachevskii Journal of Mathematics
2 Journal of Applied Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 International Journal of Differential Equations
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Computer Physics Communications
1 General Relativity and Gravitation
1 International Journal of Engineering Science
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Numerical Functional Analysis and Optimization
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Annals of Physics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Differential Equations and Dynamical Systems
1 Regular and Chaotic Dynamics
1 The ANZIAM Journal
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Journal of Algebra and its Applications
1 Advances in Difference Equations
1 Journal of Physics A: Mathematical and Theoretical
1 Discrete and Continuous Dynamical Systems. Series S
1 Symmetry
1 ISRN Mathematical Analysis
1 Analysis and Mathematical Physics
1 Journal of Mathematics
1 Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applied Mathematics and Nonlinear Sciences

Citations by Year