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Author ID: levi.decio Recent zbMATH articles by "Levi, Decio"
Published as: Levi, D.; Levi, Decio
External Links: ORCID
all top 5

Co-Authors

19 single-authored
45 Winternitz, Pavel
29 Scimiterna, Christian
18 Rodríguez, Miguel Angel
17 Yamilov, Ravil’ Islamovich
13 Ragnisco, Orlando
10 Petrera, Matteo
8 Thomova, Zora
6 Gubbiotti, Giorgio
6 Martina, Luigi
4 Grundland, Alfred Michel
4 Vinet, Luc
3 Nucci, Maria Clara
3 Rogers, Colin
3 Tempesta, Piergiulio
2 del Olmo, Mariano A.
2 Gegenhasi
2 Heredero, R. Hernández
2 Hu, Xingbiao
2 Negro, Javier
2 Olver, Peter John
2 Quispel, Gilles Reinout Willem
2 Sym, Antoni
2 Tremblay, Sébastien
1 Adler, Vsevolod Eduardovich
1 Atakishiev, Natig M.
1 Benguria, Rafael D.
1 Cassatella-Contra, Giovanni A.
1 Chen, Dengyuan
1 Cherdantsev, I. Yu.
1 Coley, Alan Albert
1 Dattoli, Giuseppe
1 Ferapontov, Evgeny Vladimirovich
1 Fordy, Allan P.
1 Franco, Pedro
1 Gaeta, Giuseppe
1 Garifullin, Rustem N.
1 Gómez-Ullate, David
1 Khabibullin, Ismagil Talgatovich
1 Hay, Mike C.
1 Hernández Heredero, Rafael
1 Iserles, Arieh
1 Ji, Xiaoda
1 Lattanzi, Ambra
1 Li, Yishen
1 Liu, Qingping
1 Manakov, S. V.
1 Mancinelli, Rosaria
1 Mikhailov, Alexander Vasil’evich
1 Milson, Robert
1 Moshinsky, Marcos
1 Musin, Il’dar Khamitovich
1 Nijhoff, Frank W.
1 Pilloni, L.
1 Popowicz, Ziemowit
1 Rebelo, Raphaël
1 Ricca, Eugenio
1 Sanielevici, Mihaela N.
1 Santini, Paolo Maria
1 Sekera, David
1 Shabat, Alekseĭ Borisovich
1 Sharipov, Ruslan A.
1 Sokolov, Vladimir Vyacheslavovich
1 Suleĭmanov, Bulat Irekovich
1 Torre, Amalia
1 Tsujimoto, Satoshi
1 Vinternitz, P.
1 Xue, Lingling
1 Yulmukhametov, Rinad Salavatovich
1 Zhiber, Anatoliĭ Vasil’evich

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 1,019 times in 657 Documents Cited by Year
Non-classical symmetry reduction: Example of the Boussinesq equation. Zbl 0694.35159
Levi, D.; Winternitz, P.
115
1989
Symmetry reduction for the Kadomtsev-Petviashvili equation using a loop algebra. Zbl 0598.35117
David, D.; Kamran, N.; Levi, D.; Winternitz, P.
66
1986
Bäcklund transformations and nonlinear differential difference equations. Zbl 0453.35072
Levi, D.; Benguria, R.
44
1980
Nonlinear differential difference equations as Bäcklund transformations. Zbl 0465.35081
Levi, D.
39
1981
Continuous symmetries of difference equations. Zbl 1112.37053
Levi, Decio; Winternitz, Pavel
34
2006
Conditions for the existence of higher symmetries of evolutionary equations on the lattice. Zbl 0896.34057
Levi, D.; Yamilov, R.
31
1997
Lie group formalism for difference equations. Zbl 0956.39013
Levi, D.; Vinet, L.; Winternitz, P.
31
1997
Symmetries and conditional symmetries of differential-difference equations. Zbl 0780.34047
Levi, D.; Winternitz, P.
28
1993
The nonabelian Toda lattice - Discrete analogue of the matrix Schrödinger spectral problem. Zbl 0451.35054
Bruschi, M.; Manakov, S. V.; Ragnisco, O.; Levi, D.
26
1980
Symmetries of discrete dynamical systems. Zbl 0862.34049
Levi, D.; Winternitz, P.
22
1996
On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations. Zbl 0801.35122
Levi, D.; Ragnisco, O.; Rodriguez, M. A.
21
1992
A hierarchy of coupled Korteweg-de Vries equations and the normalization conditions of the Hilbert-Riemann problem. Zbl 0548.35098
Levi, D.; Sym, A.; Wojciechowski, S.
20
1983
On a new Darboux transformation for the construction of exact solutions of the Schrödinger equation. Zbl 0701.34036
Levi, D.
20
1988
Non-isospectral deformations and Darboux transformations for the third- order spectral problem. Zbl 0694.35211
Levi, D.; Ragnisco, O.
19
1988
Integrable nonlinear equations for water waves in straits of varying depth and width. Zbl 0678.35008
David, D.; Levi, D.; Winternitz, P.
18
1987
The Kundu-Eckhaus equation and its discretizations. Zbl 1181.35243
Levi, Decio; Scimiterna, Christian
18
2009
Generalized symmetry integrability test for discrete equations on the square lattice. Zbl 1225.37079
Levi, D.; Yamilov, R. I.
17
2011
Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform. Zbl 0513.35026
Bruschi, M.; Ragnisco, O.; Levi, D.
16
1981
The generalized symmetry method for discrete equations. Zbl 1180.37093
Levi, D.; Yamilov, R. I.
16
2009
Umbral calculus, difference equations and the discrete Schrödinger equation. Zbl 1064.39020
Levi, Decio; Tempesta, Piergiulio; Winternitz, Pavel
16
2004
Solitons in shallow seas of variable depth and in marine straits. Zbl 0728.76023
David, D.; Levi, D.; Winternitz, P.
15
1989
Integrable three-dimensional lattices. Zbl 0481.35046
Levi, D.; Pilloni, L.; Santini, P. M.
14
1981
Group theoretical analysis of a rotating shallow liquid in a rigid container. Zbl 0715.35067
Levi, D.; Nucci, M. C.; Rogers, C.; Winternitz, P.
14
1989
On higher-order Riccati equations as Bäcklund transformations. Zbl 0937.35161
Grundland, A. M.; Levi, D.
13
1999
Supersymmetric KdV equation: Darboux transformation and discrete systems. Zbl 1286.35224
Xue, Ling-Ling; Levi, D.; Liu, Q. P.
13
2013
Classification of five-point differential-difference equations. Zbl 1376.34016
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
12
2017
Symmetries of the discrete Burgers equation. Zbl 0941.35093
Hernández Heredero, R.; Levi, D.; Winternitz, P.
11
1999
Lie algebra contractions and symmetries of the Toda hierarchy. Zbl 0973.37046
Hernández Heredero, R.; Levi, D.; Rodríguez, M. A.; Winternitz, P.
11
2000
Lie point symmetries of difference equations and lattices. Zbl 0966.39007
Levi, D.; Tremblay, S.; Winternitz, P.
11
2000
Heisenberg algebra, umbral calculus and orthogonal polynomials. Zbl 1152.81396
Dattoli, G.; Levi, D.; Winternitz, P.
11
2008
Integrable hierarchies of nonlinear difference-difference equations and symmetries. Zbl 1003.39011
Levi, D.; Martina, L.
9
2001
On the integrability of a new lattice equation found by multiple scale analysis. Zbl 1293.35355
Scimiterna, Christian; Hay, Mike; Levi, Decio
9
2014
Structure preserving discretizations of the Liouville equation and their numerical tests. Zbl 1358.35072
Levi, Decio; Martina, Luigi; Winternitz, Pavel
9
2015
Non-invertible transformations of differential-difference equations. Zbl 1378.37116
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
9
2016
\(\lambda \)-symmetries and Jacobi last multiplier. Zbl 1266.34058
Nucci, M. C.; Levi, D.
9
2013
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube. Zbl 1420.37064
Gubbiotti, G.; Scimiterna, C.; Levi, D.
9
2016
Lie symmetries of multidimensional difference equations. Zbl 0998.39008
Levi, D.; Tremblay, S.; Winternitz, P.
8
2001
Discrete \(q\)-derivatives and symmetries of \(q\)-difference equations. Zbl 1056.81042
Levi, D.; Negro, J.; del Olmo, M. A.
8
2004
On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations. Zbl 1168.37019
Levi, Decio; Petrera, Matteo; Scimiterna, Christian; Yamilov, Ravil
8
2008
Lie-point symmetries of the discrete Liouville equation. Zbl 1315.37042
Levi, D.; Martina, L.; Winternitz, P.
8
2015
The non-autonomous YdKN equation and generalized symmetries of Boll equations. Zbl 1367.34002
Gubbiotti, G.; Scimiterna, C.; Levi, D.
8
2017
Classification of five-point differential-difference equations. II. Zbl 1386.34019
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
7
2018
Symmetries of the continuous and discrete Krichever-Novikov equation. Zbl 1244.35004
Levi, Decio; Winternitz, Pavel; Yamilov, Ravil I.
7
2011
Lie point symmetries of differential-difference equations. Zbl 1197.35303
Levi, D.; Winternitz, P.; Yamilov, R. I.
7
2010
On a nonlinear integrable difference equation on the square. Zbl 1240.39020
Levi, D.; Yamilov, R. I.
6
2009
Discrete third-order spectral problems and a new Toda-type equation. Zbl 1004.37050
Levi, D.; Grundland, A. M.
6
2002
Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube. Zbl 1359.37132
Gubbiotti, G.; Scimiterna, C.; Levi, Decio
6
2016
Multiple-scale analysis of discrete nonlinear partial difference equations: The reduction of the lattice potential KdV. Zbl 1082.39013
Levi, D.
5
2005
Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Zbl 0852.00027
5
1996
Linearizability of nonlinear equations on a quad-graph by a point, two points and generalized Hopf-Cole transformations. Zbl 1245.39010
Levi, Decio; Scimiterna, Christian
5
2011
\(\lambda\)-symmetries for the reduction of continuous and discrete equations. Zbl 1267.34061
Levi, D.; Nucci, M. C.; Rodríguez, M. A.
5
2012
Discrete reductive perturbation technique. Zbl 1111.39016
Levi, Decio; Petrera, Matteo
4
2006
Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order. Zbl 1149.35073
Hernandez Heredero, R.; Levi, D.; Petrera, M.; Scimiterna, C.
4
2007
The lattice Schwarzian KdV equation and its symmetries. Zbl 1155.35438
Levi, D.; Petrera, M.; Scimiterna, C.
4
2007
Levi-Civita theory for irrotational water waves in a one-dimensional channel and the complex Korteweg-de Vries equation. Zbl 0853.76008
Levi, D.
4
1994
Toward a unification of the various techniques used to integrate nonlinear partial differential equations: Bäcklund and Darboux transformations vs. dressing method. Zbl 0621.35095
Levi, Decio
4
1986
Lie point symmetries and commuting flows for equations on lattices. Zbl 1215.39008
Levi, D.; Winternitz, P.
4
2002
\(\lambda \)-symmetries for discrete equations. Zbl 1262.39001
Levi, D.; Rodríguez, M. A.
4
2010
Differential equations invariant under conditional symmetries. Zbl 1462.35337
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
4
2019
Continuous symmetries of the lattice potential KdV equation. Zbl 1115.35111
Levi, Decio; Petrera, Matteo
3
2007
Integrability test of discrete nonlinear Schrödinger equations via multiscale reduction. Zbl 1189.39008
Levi, Decio; Scimiterna, Christian
3
2010
SIDE III – Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16–22, 1998. Zbl 0943.00052
3
2000
Discrete derivatives and symmetries of difference equations. Zbl 0974.39007
Levi, D.; Negro, J.; del Olmo, M. A.
3
2001
The inhomogeneous Toda lattice: Its hierarchy and Darboux-Bäcklund transformations. Zbl 0734.35136
Levi, D.; Ragnisco, O.
3
1991
Lie point symmetries of differential difference equations. Zbl 0860.22016
Levi, Decio; Winternitz, Pavel
3
1996
Toda lattice and generalised Wronskian technique. Zbl 0445.35011
Bruschi, M.; Levi, D.; Ragnisco, O.
3
1980
Multiscale expansion on the lattice and integrability of partial difference equations. Zbl 1143.37046
Hernandez Heredero, R.; Levi, D.; Petrera, M.; Scimiterna, C.
3
2008
A two-periodic generalization of the \(Q_V\) equation. Zbl 1398.39007
Gubbiotti, G.; Scimiterna, C.; Levi, D.
3
2017
Linearization through symmetries for discrete equations. Zbl 1276.39003
Levi, D.; Scimiterna, C.
3
2013
Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Zbl 1218.39002
3
2011
Three-point partial difference equations linearizable by local and nonlocal transformations. Zbl 1266.39013
Scimiterna, C.; Levi, D.
3
2012
Non-linear differential-difference equations with N-dependent coefficients. II. Zbl 0477.34047
Levi, D.; Ragnisco, O.
2
1979
Some remarks on the normalisation condition problem of dressing method. Zbl 0542.35080
Levi, D.; Ragnisco, O.; Sym, A.
2
1984
Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. Zbl 0846.00007
2
1992
Generalized Lie symmetries for difference equations. Zbl 1229.39002
Levi, Decio; Yamilov, Ravil I.
2
2011
Symmetry preserving discretization of the Burgers equation. Zbl 0963.35168
Hernández Heredero, R.; Levi, D.; Winternitz, P.
2
2000
Construction of higher local \((2+1)\)-dimensional exponential lattice equations. Zbl 0991.37541
Levi, D.; Ragnisco, O.; Shabat, A. B.
2
1994
Lie symmetries for integrable evolution equations on the lattice. Zbl 0955.37050
Levi, D.; Rodríguez, M. A.
2
1999
Symmetries of the discrete nonlinear Schrödinger equation. Zbl 1002.39031
Hernández Heredero, R.; Levi, D.; Winternitz, P.
2
2001
Integrability conditions for \(n\) and \(t\) dependent dynamical lattice equations. Zbl 1161.37345
Yamilov, R.; Levi, D.
2
2004
Lie discrete symmetries of lattice equations. Zbl 1052.39500
Levi, Decio; Rodríguez, Miguel A.
2
2004
Equivalence of a class of Wigner coefficients of SU(1,1) with those of SU(2). Zbl 0306.20053
Chacon, E.; Levi, D.; Moshinsky, M.
2
1975
Symmetries and nonlinear phenomena. Proceedings of the international school on applied mathematics, Paipa, Colombia, Feb. 22-26, 1988. Zbl 0747.00041
2
1988
Symmetry group of partial differential equations and of differential difference equations: The Toda lattice versus the Korteweg-de Vries equation. Zbl 0754.35144
Levi, D.; Rodríguez, M. A.
2
1992
Irrotational water waves and the complex Korteweg-de Vries equation. Zbl 0899.76083
Levi, D.; Sanielevici, M.
2
1996
Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization. Zbl 1409.35087
Levi, D.; Martina, L.; Winternitz, P.
2
2018
Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice. Zbl 1273.65161
Levi, Decio; Rodríguez, Miguel A.
2
2013
A discrete linearizability test based on multiscale analysis. Zbl 1208.39010
Hernández Heredero, R.; Levi, D.; Scimiterna, C.
2
2010
The discretized Boussinesq equation and its conditional symmetry reduction. Zbl 1511.39014
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
2
2020
Lie point symmetries and ODEs passing the Painlevé test. Zbl 1417.34211
Levi, D.; Sekera, D.; Winternitz, P.
2
2018
Four points linearizable lattice schemes. Zbl 1288.35022
Levi, Decio; Scimiterna, Christian
2
2013
Continuous symmetries of differential-difference equations. Zbl 1102.35366
Winternitz, P.; Levi, D.
1
1995
Contact transformations for difference schemes. Zbl 1239.65054
Levi, Decio; Scimiterna, Christian; Thomova, Zora; Winternitz, Pavel
1
2012
Are there contact transformations for discrete equations? Zbl 1227.39002
Levi, Decio; Thomova, Zora; Winternitz, Pavel
1
2011
On a discrete Davey–Stewartson system. Zbl 1106.35093
Gegenhasi; Hu, Xing-Biao; Levi, Decio
1
2006
Symmetries of discrete physical systems. Zbl 0948.37501
Levi, D.; Vinet, L.; Winternitz, P.
1
1996
Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4–9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Zbl 0974.00040
1
2001
Lie symmetries for lattice equations. Zbl 1195.37048
Levi, Decio
1
2005
On strong and weak Bäcklund transformations. Zbl 0586.35019
Levi, D.; Popowicz, Z.
1
1985
Kadomtsev-Petviashvili equations in the description of water waves. Zbl 0726.76019
Levi, D.
1
1990
Continuous symmetries and integrability of discrete equations. Zbl 1525.39001
Levi, Decio; Winternitz, Pavel; Yamilov, Ravil I.
1
2022
Yamilov’s theorem for differential and difference equations. Zbl 1488.39050
Levi, Decio; Rodríguez, Miguel A.
1
2021
The discretized Boussinesq equation and its conditional symmetry reduction. Zbl 1511.39014
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
2
2020
Differential equations invariant under conditional symmetries. Zbl 1462.35337
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
4
2019
Construction of partial differential equations with conditional symmetries. Zbl 1425.35156
Levi, Decio; Rodríguez, Miguel A.; Thomova, Zora
1
2019
Classification of five-point differential-difference equations. II. Zbl 1386.34019
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
7
2018
Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization. Zbl 1409.35087
Levi, D.; Martina, L.; Winternitz, P.
2
2018
Lie point symmetries and ODEs passing the Painlevé test. Zbl 1417.34211
Levi, D.; Sekera, D.; Winternitz, P.
2
2018
Time-dependent free-particle Salpeter equation: features of the solutions. Zbl 1406.81041
Torre, Amalia; Lattanzi, Ambra; Levi, Decio
1
2018
Classification of five-point differential-difference equations. Zbl 1376.34016
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
12
2017
The non-autonomous YdKN equation and generalized symmetries of Boll equations. Zbl 1367.34002
Gubbiotti, G.; Scimiterna, C.; Levi, D.
8
2017
A two-periodic generalization of the \(Q_V\) equation. Zbl 1398.39007
Gubbiotti, G.; Scimiterna, C.; Levi, D.
3
2017
Non-invertible transformations of differential-difference equations. Zbl 1378.37116
Garifullin, R. N.; Yamilov, R. I.; Levi, D.
9
2016
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube. Zbl 1420.37064
Gubbiotti, G.; Scimiterna, C.; Levi, D.
9
2016
Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube. Zbl 1359.37132
Gubbiotti, G.; Scimiterna, C.; Levi, Decio
6
2016
Structure preserving discretizations of the Liouville equation and their numerical tests. Zbl 1358.35072
Levi, Decio; Martina, Luigi; Winternitz, Pavel
9
2015
Lie-point symmetries of the discrete Liouville equation. Zbl 1315.37042
Levi, D.; Martina, L.; Winternitz, P.
8
2015
On the integrability of a new lattice equation found by multiple scale analysis. Zbl 1293.35355
Scimiterna, Christian; Hay, Mike; Levi, Decio
9
2014
Lie group analysis of a generalized Krichever-Novikov differential-difference equation. Zbl 1366.39015
Levi, Decio; Ricca, Eugenio; Thomova, Zora; Winternitz, Pavel
1
2014
Supersymmetric KdV equation: Darboux transformation and discrete systems. Zbl 1286.35224
Xue, Ling-Ling; Levi, D.; Liu, Q. P.
13
2013
\(\lambda \)-symmetries and Jacobi last multiplier. Zbl 1266.34058
Nucci, M. C.; Levi, D.
9
2013
Linearization through symmetries for discrete equations. Zbl 1276.39003
Levi, D.; Scimiterna, C.
3
2013
Construction of partial difference schemes: I. The Clairaut, Schwarz, Young theorem on the lattice. Zbl 1273.65161
Levi, Decio; Rodríguez, Miguel A.
2
2013
Four points linearizable lattice schemes. Zbl 1288.35022
Levi, Decio; Scimiterna, Christian
2
2013
Classification of discrete equations linearizable by point transformation on a square lattice. Zbl 1279.39006
Scimiterna, Christian; Levi, Decio
1
2013
\(\lambda\)-symmetries for the reduction of continuous and discrete equations. Zbl 1267.34061
Levi, D.; Nucci, M. C.; Rodríguez, M. A.
5
2012
Three-point partial difference equations linearizable by local and nonlocal transformations. Zbl 1266.39013
Scimiterna, C.; Levi, D.
3
2012
Contact transformations for difference schemes. Zbl 1239.65054
Levi, Decio; Scimiterna, Christian; Thomova, Zora; Winternitz, Pavel
1
2012
On Fourier integral transforms for \(q\)-Fibonacci and \(q\)-Lucas polynomials. Zbl 1248.33031
Atakishiyev, Natig; Franco, Pedro; Levi, Decio; Ragnisco, Orlando
1
2012
The Jacobi last multiplier for linear partial difference equations. Zbl 1247.39009
Levi, Decio; Rodríguez, Miguel A.
1
2012
Generalized symmetry integrability test for discrete equations on the square lattice. Zbl 1225.37079
Levi, D.; Yamilov, R. I.
17
2011
Symmetries of the continuous and discrete Krichever-Novikov equation. Zbl 1244.35004
Levi, Decio; Winternitz, Pavel; Yamilov, Ravil I.
7
2011
Linearizability of nonlinear equations on a quad-graph by a point, two points and generalized Hopf-Cole transformations. Zbl 1245.39010
Levi, Decio; Scimiterna, Christian
5
2011
Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Zbl 1218.39002
3
2011
Generalized Lie symmetries for difference equations. Zbl 1229.39002
Levi, Decio; Yamilov, Ravil I.
2
2011
Are there contact transformations for discrete equations? Zbl 1227.39002
Levi, Decio; Thomova, Zora; Winternitz, Pavel
1
2011
Lie point symmetries of differential-difference equations. Zbl 1197.35303
Levi, D.; Winternitz, P.; Yamilov, R. I.
7
2010
\(\lambda \)-symmetries for discrete equations. Zbl 1262.39001
Levi, D.; Rodríguez, M. A.
4
2010
Integrability test of discrete nonlinear Schrödinger equations via multiscale reduction. Zbl 1189.39008
Levi, Decio; Scimiterna, Christian
3
2010
A discrete linearizability test based on multiscale analysis. Zbl 1208.39010
Hernández Heredero, R.; Levi, D.; Scimiterna, C.
2
2010
\(C\)-integrability test for discrete equations via multiple scale expansions. Zbl 1219.39002
Scimiterna, Christian; Levi, Decio
1
2010
Discrete multiscale analysis: a biatomic lattice system. Zbl 1203.35260
Cassatella Contra, G. A.; Levi, D.
1
2010
The Kundu-Eckhaus equation and its discretizations. Zbl 1181.35243
Levi, Decio; Scimiterna, Christian
18
2009
The generalized symmetry method for discrete equations. Zbl 1180.37093
Levi, D.; Yamilov, R. I.
16
2009
On a nonlinear integrable difference equation on the square. Zbl 1240.39020
Levi, D.; Yamilov, R. I.
6
2009
Heisenberg algebra, umbral calculus and orthogonal polynomials. Zbl 1152.81396
Dattoli, G.; Levi, D.; Winternitz, P.
11
2008
On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations. Zbl 1168.37019
Levi, Decio; Petrera, Matteo; Scimiterna, Christian; Yamilov, Ravil
8
2008
Multiscale expansion on the lattice and integrability of partial difference equations. Zbl 1143.37046
Hernandez Heredero, R.; Levi, D.; Petrera, M.; Scimiterna, C.
3
2008
Multiscale expansion and integrability properties of the lattice potential KdV equation. Zbl 1362.35262
Hernandez Heredero, Rafael; Levi, Decio; Petrera, Matteo; Scimiterna, Christian
1
2008
Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order. Zbl 1149.35073
Hernandez Heredero, R.; Levi, D.; Petrera, M.; Scimiterna, C.
4
2007
The lattice Schwarzian KdV equation and its symmetries. Zbl 1155.35438
Levi, D.; Petrera, M.; Scimiterna, C.
4
2007
Continuous symmetries of the lattice potential KdV equation. Zbl 1115.35111
Levi, Decio; Petrera, Matteo
3
2007
Continuous symmetries of difference equations. Zbl 1112.37053
Levi, Decio; Winternitz, Pavel
34
2006
Discrete reductive perturbation technique. Zbl 1111.39016
Levi, Decio; Petrera, Matteo
4
2006
On a discrete Davey–Stewartson system. Zbl 1106.35093
Gegenhasi; Hu, Xing-Biao; Levi, Decio
1
2006
Multiple-scale analysis of discrete nonlinear partial difference equations: The reduction of the lattice potential KdV. Zbl 1082.39013
Levi, D.
5
2005
Lie symmetries for lattice equations. Zbl 1195.37048
Levi, Decio
1
2005
Asymptotic symmetries of difference equations on a lattice. Zbl 1126.39300
Gaeta, Giuseppe; Levi, Decio; Mancinelli, Rosaria
1
2005
Umbral calculus, difference equations and the discrete Schrödinger equation. Zbl 1064.39020
Levi, Decio; Tempesta, Piergiulio; Winternitz, Pavel
16
2004
Discrete \(q\)-derivatives and symmetries of \(q\)-difference equations. Zbl 1056.81042
Levi, D.; Negro, J.; del Olmo, M. A.
8
2004
Integrability conditions for \(n\) and \(t\) dependent dynamical lattice equations. Zbl 1161.37345
Yamilov, R.; Levi, D.
2
2004
Lie discrete symmetries of lattice equations. Zbl 1052.39500
Levi, Decio; Rodríguez, Miguel A.
2
2004
The discrete nonlinear Schrödinger equation and its Lie symmetry reductions. Zbl 1362.39010
Hernández Heredero, R.; Levi, D.
1
2003
On a discrete version of the \(\mathbb CP^1\) sigma model and surfaces immersed in \(\mathbb R^3\). Zbl 1057.53004
Grundland, A. M.; Levi, D.; Martina, L.
1
2003
Discrete third-order spectral problems and a new Toda-type equation. Zbl 1004.37050
Levi, D.; Grundland, A. M.
6
2002
Lie point symmetries and commuting flows for equations on lattices. Zbl 1215.39008
Levi, D.; Winternitz, P.
4
2002
Integrable hierarchies of nonlinear difference-difference equations and symmetries. Zbl 1003.39011
Levi, D.; Martina, L.
9
2001
Lie symmetries of multidimensional difference equations. Zbl 0998.39008
Levi, D.; Tremblay, S.; Winternitz, P.
8
2001
Discrete derivatives and symmetries of difference equations. Zbl 0974.39007
Levi, D.; Negro, J.; del Olmo, M. A.
3
2001
Symmetries of the discrete nonlinear Schrödinger equation. Zbl 1002.39031
Hernández Heredero, R.; Levi, D.; Winternitz, P.
2
2001
Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4–9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Zbl 0974.00040
1
2001
Lie algebra contractions and symmetries of the Toda hierarchy. Zbl 0973.37046
Hernández Heredero, R.; Levi, D.; Rodríguez, M. A.; Winternitz, P.
11
2000
Lie point symmetries of difference equations and lattices. Zbl 0966.39007
Levi, D.; Tremblay, S.; Winternitz, P.
11
2000
SIDE III – Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16–22, 1998. Zbl 0943.00052
3
2000
Symmetry preserving discretization of the Burgers equation. Zbl 0963.35168
Hernández Heredero, R.; Levi, D.; Winternitz, P.
2
2000
On higher-order Riccati equations as Bäcklund transformations. Zbl 0937.35161
Grundland, A. M.; Levi, D.
13
1999
Symmetries of the discrete Burgers equation. Zbl 0941.35093
Hernández Heredero, R.; Levi, D.; Winternitz, P.
11
1999
Lie symmetries for integrable evolution equations on the lattice. Zbl 0955.37050
Levi, D.; Rodríguez, M. A.
2
1999
Conditions for the existence of higher symmetries of evolutionary equations on the lattice. Zbl 0896.34057
Levi, D.; Yamilov, R.
31
1997
Lie group formalism for difference equations. Zbl 0956.39013
Levi, D.; Vinet, L.; Winternitz, P.
31
1997
Symmetries of discrete dynamical systems. Zbl 0862.34049
Levi, D.; Winternitz, P.
22
1996
Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Zbl 0852.00027
5
1996
Lie point symmetries of differential difference equations. Zbl 0860.22016
Levi, Decio; Winternitz, Pavel
3
1996
Irrotational water waves and the complex Korteweg-de Vries equation. Zbl 0899.76083
Levi, D.; Sanielevici, M.
2
1996
Symmetries of discrete physical systems. Zbl 0948.37501
Levi, D.; Vinet, L.; Winternitz, P.
1
1996
Continuous symmetries of differential-difference equations. Zbl 1102.35366
Winternitz, P.; Levi, D.
1
1995
Levi-Civita theory for irrotational water waves in a one-dimensional channel and the complex Korteweg-de Vries equation. Zbl 0853.76008
Levi, D.
4
1994
Construction of higher local \((2+1)\)-dimensional exponential lattice equations. Zbl 0991.37541
Levi, D.; Ragnisco, O.; Shabat, A. B.
2
1994
Symmetries and conditional symmetries of a non-relativistic Chern-Simons system. Zbl 0793.35101
Levi, Decio; Vinet, Luc; Winternitz, Pavel
1
1994
Symmetries and conditional symmetries of differential-difference equations. Zbl 0780.34047
Levi, D.; Winternitz, P.
28
1993
Dimensional reduction for equations involving discrete and continuous variables. Zbl 0793.35105
Levi, D.; Winternitz, P.
1
1993
On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations. Zbl 0801.35122
Levi, D.; Ragnisco, O.; Rodriguez, M. A.
21
1992
Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. Zbl 0846.00007
2
1992
Symmetry group of partial differential equations and of differential difference equations: The Toda lattice versus the Korteweg-de Vries equation. Zbl 0754.35144
Levi, D.; Rodríguez, M. A.
2
1992
Symmetry reduction for the stimulated Raman scattering equations and the asymptotics of Painleve’ \(V\) via Boutroux transformation. Zbl 0875.35125
Levi, D.
1
1992
The inhomogeneous Toda lattice: Its hierarchy and Darboux-Bäcklund transformations. Zbl 0734.35136
Levi, D.; Ragnisco, O.
3
1991
Kadomtsev-Petviashvili equations in the description of water waves. Zbl 0726.76019
Levi, D.
1
1990
Group invariance of a neo-Hookean system: Incorporation of stretch change. Zbl 0733.73020
Levi, D.; Rogers, C.
1
1990
Non-classical symmetry reduction: Example of the Boussinesq equation. Zbl 0694.35159
Levi, D.; Winternitz, P.
115
1989
Solitons in shallow seas of variable depth and in marine straits. Zbl 0728.76023
David, D.; Levi, D.; Winternitz, P.
15
1989
...and 18 more Documents
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Cited by 751 Authors

31 Levi, Decio
29 Winternitz, Pavel
16 Yamilov, Ravil’ Islamovich
15 Folly-Gbetoula, Mensah K.
14 Clarkson, Peter A.
14 Gordoa, Pilar Ruiz
13 Pickering, Andrew
12 Dorodnitsyn, Vladimir A.
12 Gubbiotti, Giorgio
11 Zhang, Dajun
10 Adler, Vsevolod Eduardovich
10 Güngör, Faruk
10 Lou, Senyue
10 Sahadevan, Ramajayam
10 Scimiterna, Christian
9 Khabibullin, Ismagil Talgatovich
9 Liu, Qingping
9 Meleshko, Sergey V.
9 Nyirenda, Darlison
9 Tam, Hon-Wah
8 Doliwa, Adam
8 Geng, Xianguo
8 Hu, Xingbiao
8 Mikhailov, Alexander Vasil’evich
8 Santini, Paolo Maria
7 Kozlov, Roman V.
7 Mao, Hui
7 Rodríguez, Miguel Angel
7 Zhang, Yingnan
6 Cieśliński, Jan L.
6 Kim, Dae San
6 Kim, Taekyun
6 Popovych, Roman O.
6 Thomova, Zora
6 Tian, Bo
6 Xenitidis, Pavlos
6 Zhang, Yufeng
6 Zhu, Zuonong
5 Cariñena, José F.
5 Fan, Engui
5 Gaeta, Giuseppe
5 Grundland, Alfred Michel
5 Kara, Abdul Hamid
5 Konstantinou-Rizos, Sotiris
5 Ma, Wen-Xiu
5 Mansour, Toufik
5 Ragnisco, Orlando
5 Sophocleous, Christodoulos
5 Tian, Shoufu
5 Valiquette, Francis
5 Wang, Jingping
5 Xue, Lingling
5 Zhdanov, Renat Z.
4 Bihlo, Alexander
4 Chen, Yong
4 Cherniha, Roman M.
4 Cicogna, Giampaolo
4 de Lucas, Javier
4 Dolgiĭ, Dmitriĭ Viktorovich
4 Dong, Huanhe
4 Gekhtman, Mikhaèl I.
4 Grammaticos, Basil
4 He, Guoliang
4 Huang, Dingjiang
4 Ji, Lina
4 Nucci, Maria Clara
4 Rogers, Colin
4 Shabat, Alekseĭ Borisovich
4 Shen, Shoufeng
4 Tempesta, Piergiulio
4 van der Kamp, Peter H.
4 Xue, Bo
4 Zhang, Hongqing
3 Arrigo, Daniel J.
3 Berezans’kyĭ, Yuriĭ Makarovych
3 Broadbridge, Philip
3 Cao, Cewen
3 Dattoli, Giuseppe
3 Kaptsov, Evgeniy I.
3 Karsli, Harun
3 Khan, Subuhi
3 Li, Biao
3 Li, Juan
3 Li, Nianhua
3 Mansfield, Elizabeth Louise
3 Marín, María José
3 Medina, Elena
3 Ndogmo, Jean-Claude
3 Nieszporski, Maciej
3 Nijhoff, Frank W.
3 Qiao, Zhijun
3 Qu, Changzheng
3 Ramani, Alfred
3 Rebelo, Raphaël
3 Senthilvelan, Murugaian
3 Sun, Jianqing
3 Tian, Kai
3 Tran, Dinh Thi
3 Tsyfra, Ivan M.
3 Vakhnenko, Oleksiy O.
...and 651 more Authors
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Cited in 141 Serials

115 Journal of Mathematical Physics
39 Journal of Nonlinear Mathematical Physics
32 Theoretical and Mathematical Physics
31 Journal of Mathematical Analysis and Applications
30 Journal of Physics A: Mathematical and Theoretical
25 Communications in Nonlinear Science and Numerical Simulation
23 Applied Mathematics and Computation
18 Chaos, Solitons and Fractals
14 Physics Letters. A
12 Studies in Applied Mathematics
10 Acta Applicandae Mathematicae
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Physica D
9 Journal of Difference Equations and Applications
9 Nonlinear Dynamics
8 Applied Mathematics Letters
8 Advances in Mathematical Physics
7 Nonlinearity
7 Abstract and Applied Analysis
6 Modern Physics Letters B
6 Ukrainian Mathematical Journal
6 International Journal of Geometric Methods in Modern Physics
6 Advances in Difference Equations
5 Journal of Differential Equations
5 European Journal of Applied Mathematics
5 Communications in Theoretical Physics
4 Computers & Mathematics with Applications
4 Communications in Mathematical Physics
4 Journal of Engineering Mathematics
4 Letters in Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Reviews in Mathematical Physics
4 Journal of Geometry and Physics
4 Functional Analysis and its Applications
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Acta Mechanica
3 Journal of Fluid Mechanics
3 Physica A
3 Reports on Mathematical Physics
3 Wave Motion
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Computational and Applied Mathematics
3 Quaestiones Mathematicae
3 Mathematical and Computer Modelling
3 Frontiers of Mathematics in China
3 Tbilisi Mathematical Journal
3 Journal of Nonlinear Science and Applications
2 International Journal of Modern Physics A
2 International Journal of Modern Physics B
2 Computer Physics Communications
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Computational Physics
2 Applied Mathematics and Mechanics. (English Edition)
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Symbolic Computation
2 Differential Geometry and its Applications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Mathematical Sciences (New York)
2 Differential Equations and Dynamical Systems
2 Mathematical Physics, Analysis and Geometry
2 Journal of Inequalities and Applications
2 Chaos
2 Discrete Dynamics in Nature and Society
2 Journal of High Energy Physics
2 Lobachevskii Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Waves in Random and Complex Media
2 Asian-European Journal of Mathematics
2 Symmetry
2 Journal of Computational Dynamics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Mathematical Foundations of Computing
1 Applicable Analysis
1 European Journal of Physics
1 Geophysical and Astrophysical Fluid Dynamics
1 General Relativity and Gravitation
1 International Journal of Control
1 International Journal of Theoretical Physics
1 Linear and Multilinear Algebra
1 Nuclear Physics. B
1 Physics Reports
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Physics of Fluids, A
1 Mathematics of Computation
1 BIT
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Ricerche di Matematica
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Probability Theory and Related Fields
1 Science in China. Series A
1 Numerical Algorithms
1 Applied Mathematical Modelling
...and 41 more Serials
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Cited in 49 Fields

352 Partial differential equations (35-XX)
320 Dynamical systems and ergodic theory (37-XX)
134 Difference and functional equations (39-XX)
90 Ordinary differential equations (34-XX)
57 Global analysis, analysis on manifolds (58-XX)
51 Fluid mechanics (76-XX)
40 Quantum theory (81-XX)
34 Numerical analysis (65-XX)
32 Mechanics of particles and systems (70-XX)
29 Nonassociative rings and algebras (17-XX)
29 Special functions (33-XX)
16 Differential geometry (53-XX)
14 Combinatorics (05-XX)
10 Topological groups, Lie groups (22-XX)
10 Optics, electromagnetic theory (78-XX)
10 Biology and other natural sciences (92-XX)
9 Number theory (11-XX)
8 Computer science (68-XX)
8 Mechanics of deformable solids (74-XX)
8 Relativity and gravitational theory (83-XX)
7 Operator theory (47-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Associative rings and algebras (16-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functions of a complex variable (30-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Probability theory and stochastic processes (60-XX)
3 Algebraic geometry (14-XX)
3 Approximations and expansions (41-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geophysics (86-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

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