Levi, Decio; Winternitz, Pavel Continuous symmetries of difference equations. (English) Zbl 1112.37053 J. Phys. A, Math. Gen. 39, No. 2, R1-R63 (2006). MSC: 37K05 35A30 39A11 39A12 65Q05 81R12 PDFBibTeX XMLCite \textit{D. Levi} and \textit{P. Winternitz}, J. Phys. A, Math. Gen. 39, No. 2, R1--R63 (2006; Zbl 1112.37053) Full Text: DOI arXiv
Levi, D. Multiple-scale analysis of discrete nonlinear partial difference equations: The reduction of the lattice potential KdV. (English) Zbl 1082.39013 J. Phys. A, Math. Gen. 38, No. 35, 7677-7689 (2005). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A12 37K60 37K10 37K40 35Q51 35Q53 PDFBibTeX XMLCite \textit{D. Levi}, J. Phys. A, Math. Gen. 38, No. 35, 7677--7689 (2005; Zbl 1082.39013) Full Text: DOI arXiv
Levi, D.; Negro, J.; del Olmo, M. A. Discrete \(q\)-derivatives and symmetries of \(q\)-difference equations. (English) Zbl 1056.81042 J. Phys. A, Math. Gen. 37, No. 10, 3459-3473 (2004). Reviewer: Tomasz Brzeziński (Swansea) MSC: 81R50 35R10 35K05 16W30 17B37 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 37, No. 10, 3459--3473 (2004; Zbl 1056.81042) Full Text: DOI arXiv
Levi, Decio; Rodríguez, Miguel A. Lie discrete symmetries of lattice equations. (English) Zbl 1052.39500 J. Phys. A, Math. Gen. 37, No. 5, 1711-1725 (2004). MSC: 39A12 34C14 37K05 37K60 PDFBibTeX XMLCite \textit{D. Levi} and \textit{M. A. Rodríguez}, J. Phys. A, Math. Gen. 37, No. 5, 1711--1725 (2004; Zbl 1052.39500) Full Text: DOI arXiv
Grundland, A. M.; Levi, D.; Martina, L. On a discrete version of the \(\mathbb CP^1\) sigma model and surfaces immersed in \(\mathbb R^3\). (English) Zbl 1057.53004 J. Phys. A, Math. Gen. 36, No. 16, 4599-4616 (2003). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 53A05 37K25 53C43 58E20 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Phys. A, Math. Gen. 36, No. 16, 4599--4616 (2003; Zbl 1057.53004) Full Text: DOI
Levi, D.; Winternitz, P. Lie point symmetries and commuting flows for equations on lattices. (English) Zbl 1215.39008 J. Phys. A, Math. Gen. 35, No. 9, 2249-2262 (2002). MSC: 39A12 39A05 37K60 PDFBibTeX XMLCite \textit{D. Levi} and \textit{P. Winternitz}, J. Phys. A, Math. Gen. 35, No. 9, 2249--2262 (2002; Zbl 1215.39008) Full Text: DOI arXiv
Levi, D.; Grundland, A. M. Discrete third-order spectral problems and a new Toda-type equation. (English) Zbl 1004.37050 J. Phys. A, Math. Gen. 35, No. 6, L67-L73 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37K15 35Q53 37K35 PDFBibTeX XMLCite \textit{D. Levi} and \textit{A. M. Grundland}, J. Phys. A, Math. Gen. 35, No. 6, L67--L73 (2002; Zbl 1004.37050) Full Text: DOI
Levi, D.; Tremblay, S.; Winternitz, P. Lie symmetries of multidimensional difference equations. (English) Zbl 0998.39008 J. Phys. A, Math. Gen. 34, No. 44, 9507-9524 (2001). MSC: 39A12 39A10 22E30 65M06 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 34, No. 44, 9507--9524 (2001; Zbl 0998.39008) Full Text: DOI arXiv
Levi, D.; Yamilov, R. On the integrability of a new discrete nonlinear Schrödinger equation. (English) Zbl 1005.37047 J. Phys. A, Math. Gen. 34, No. 41, L553-L562 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K60 35Q55 39A12 PDFBibTeX XMLCite \textit{D. Levi} and \textit{R. Yamilov}, J. Phys. A, Math. Gen. 34, No. 41, L553--L562 (2001; Zbl 1005.37047) Full Text: DOI
Levi, D.; Martina, L. Integrable hierarchies of nonlinear difference-difference equations and symmetries. (English) Zbl 1003.39011 J. Phys. A, Math. Gen. 34, No. 48, 10357-10368 (2001). Reviewer: Lothar Berg (Rostock) MSC: 39A12 37K10 PDFBibTeX XMLCite \textit{D. Levi} and \textit{L. Martina}, J. Phys. A, Math. Gen. 34, No. 48, 10357--10368 (2001; Zbl 1003.39011) Full Text: DOI
Levi, D.; Negro, J.; del Olmo, M. A. Discrete derivatives and symmetries of difference equations. (English) Zbl 0974.39007 J. Phys. A, Math. Gen. 34, No. 10, 2023-2030 (2001). Reviewer: Lothar Berg (Rostock) MSC: 39A12 39A10 35K05 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 34, No. 10, 2023--2030 (2001; Zbl 0974.39007) Full Text: DOI arXiv
Hernández Heredero, R.; Levi, D.; Rodríguez, M. A.; Winternitz, P. Relation between Bäcklund transformations and higher continuous symmetries of the Toda equation. (English) Zbl 0986.37066 J. Phys. A, Math. Gen. 34, No. 11, 2459-2465 (2001). MSC: 37K35 39A10 PDFBibTeX XMLCite \textit{R. Hernández Heredero} et al., J. Phys. A, Math. Gen. 34, No. 11, 2459--2465 (2001; Zbl 0986.37066) Full Text: DOI
Levi, D.; Tremblay, S.; Winternitz, P. Lie point symmetries of difference equations and lattices. (English) Zbl 0966.39007 J. Phys. A, Math. Gen. 33, No. 47, 8507-8523 (2000). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 34C20 22E30 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 33, No. 47, 8507--8523 (2000; Zbl 0966.39007) Full Text: DOI arXiv
Levi, D.; Yamilov, R. Non-point integrable symmetries for equations on the lattice. (English) Zbl 0968.35102 J. Phys. A, Math. Gen. 33, No. 26, 4809-4823 (2000). MSC: 35Q53 37K60 37K30 PDFBibTeX XMLCite \textit{D. Levi} and \textit{R. Yamilov}, J. Phys. A, Math. Gen. 33, No. 26, 4809--4823 (2000; Zbl 0968.35102) Full Text: DOI
Hernández Heredero, R.; Levi, D.; Rodríguez, M. A.; Winternitz, P. Lie algebra contractions and symmetries of the Toda hierarchy. (English) Zbl 0973.37046 J. Phys. A, Math. Gen. 33, No. 28, 5025-5040 (2000). Reviewer: Jan L.Cieśliński (Białystok) MSC: 37K30 37K60 17B80 37K10 17B05 PDFBibTeX XMLCite \textit{R. Hernández Heredero} et al., J. Phys. A, Math. Gen. 33, No. 28, 5025--5040 (2000; Zbl 0973.37046) Full Text: DOI
Levi, D.; Rodríguez, M. A. Lie symmetries for integrable evolution equations on the lattice. (English) Zbl 0955.37050 J. Phys. A, Math. Gen. 32, No. 47, 8303-8316 (1999). Reviewer: Samir Musaev (Baku) MSC: 37K10 35Q53 39A12 PDFBibTeX XMLCite \textit{D. Levi} and \textit{M. A. Rodríguez}, J. Phys. A, Math. Gen. 32, No. 47, 8303--8316 (1999; Zbl 0955.37050) Full Text: DOI
Levi, D.; Yamilov, R. Dilation symmetries and equations on the lattice. (English) Zbl 0956.37056 J. Phys. A, Math. Gen. 32, No. 47, 8317-8323 (1999). Reviewer: Jens Rademacher (Berlin) MSC: 37L60 35Q99 37K99 PDFBibTeX XMLCite \textit{D. Levi} and \textit{R. Yamilov}, J. Phys. A, Math. Gen. 32, No. 47, 8317--8323 (1999; Zbl 0956.37056) Full Text: DOI
Grundland, A. M.; Levi, D. On higher-order Riccati equations as Bäcklund transformations. (English) Zbl 0937.35161 J. Phys. A, Math. Gen. 32, No. 21, 3931-3937 (1999). MSC: 35Q53 34A34 37K35 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{D. Levi}, J. Phys. A, Math. Gen. 32, No. 21, 3931--3937 (1999; Zbl 0937.35161) Full Text: DOI
Hernández Heredero, R.; Levi, D.; Winternitz, P. Symmetries of the discrete Burgers equation. (English) Zbl 0941.35093 J. Phys. A, Math. Gen. 32, No. 14, 2685-2695 (1999). MSC: 35Q53 37K60 35A30 39A70 PDFBibTeX XMLCite \textit{R. Hernández Heredero} et al., J. Phys. A, Math. Gen. 32, No. 14, 2685--2695 (1999; Zbl 0941.35093) Full Text: DOI
Levi, D.; Vinet, L.; Winternitz, P. Lie group formalism for difference equations. (English) Zbl 0956.39013 J. Phys. A, Math. Gen. 30, No. 2, 633-649 (1997). Reviewer: Patricia J.Y.Wong (Singapore) MSC: 39A12 39A10 34C30 43A80 22E30 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 30, No. 2, 633--649 (1997; Zbl 0956.39013) Full Text: DOI
Levi, D.; Rodríguez, M. A. Symmetry group of partial differential equations and of differential difference equations: The Toda lattice versus the Korteweg-de Vries equation. (English) Zbl 0754.35144 J. Phys. A, Math. Gen. 25, No. 15, L975-L979 (1992). MSC: 35Q53 58J70 58J72 PDFBibTeX XMLCite \textit{D. Levi} and \textit{M. A. Rodríguez}, J. Phys. A, Math. Gen. 25, No. 15, L975--L979 (1992; Zbl 0754.35144) Full Text: DOI
Levi, D.; Ragnisco, O. The inhomogeneous Toda lattice: Its hierarchy and Darboux-Bäcklund transformations. (English) Zbl 0734.35136 J. Phys. A, Math. Gen. 24, No. 8, 1729-1739 (1991). MSC: 35Q58 82C20 35R10 35P25 PDFBibTeX XMLCite \textit{D. Levi} and \textit{O. Ragnisco}, J. Phys. A, Math. Gen. 24, No. 8, 1729--1739 (1991; Zbl 0734.35136) Full Text: DOI
Levi, D.; Nucci, M. C.; Rogers, C.; Winternitz, P. Group theoretical analysis of a rotating shallow liquid in a rigid container. (English) Zbl 0715.35067 J. Phys. A, Math. Gen. 22, No. 22, 4743-4767 (1989). MSC: 35Q35 35Q53 22E70 76B99 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 22, No. 22, 4743--4767 (1989; Zbl 0715.35067) Full Text: DOI
Levi, D.; Winternitz, P. Non-classical symmetry reduction: Example of the Boussinesq equation. (English) Zbl 0694.35159 J. Phys. A, Math. Gen. 22, No. 15, 2915-2924 (1989). MSC: 35Q99 35A22 PDFBibTeX XMLCite \textit{D. Levi} and \textit{P. Winternitz}, J. Phys. A, Math. Gen. 22, No. 15, 2915--2924 (1989; Zbl 0694.35159) Full Text: DOI
Chen, Dengyuan; Levi, D.; Li, Yishen Equivalent classes of integrable nonlinear evolution equations and generalised Miura transformations. (English) Zbl 0663.35084 J. Phys. A 20, 313-321 (1987). MSC: 35Q99 35A30 PDFBibTeX XMLCite \textit{D. Chen} et al., J. Phys. A, Math. Gen. 20, 313--321 (1987; Zbl 0663.35084) Full Text: DOI
Levi, D.; Ragnisco, O. Approximate inverse spectral transform for the Korteweg-de Vries equation. (English) Zbl 0586.35083 J. Phys. A 18, 1939-1944 (1985). MSC: 35Q99 35L05 35A22 35A35 PDFBibTeX XMLCite \textit{D. Levi} and \textit{O. Ragnisco}, J. Phys. A, Math. Gen. 18, 1939--1944 (1985; Zbl 0586.35083) Full Text: DOI
Levi, D.; Popowicz, Z. On strong and weak Bäcklund transformations. (English) Zbl 0586.35019 J. Phys. A 18, 215-219 (1985). MSC: 35G20 35A22 35P05 47J10 PDFBibTeX XMLCite \textit{D. Levi} and \textit{Z. Popowicz}, J. Phys. A, Math. Gen. 18, 215--219 (1985; Zbl 0586.35019) Full Text: DOI
Levi, D.; Ragnisco, O.; Sym, A. Some remarks on the normalisation condition problem of dressing method. (English) Zbl 0542.35080 J. Phys. A 17, 931-934 (1984). MSC: 35Q99 35P05 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 17, 931--934 (1984; Zbl 0542.35080) Full Text: DOI
Levi, D.; Sym, A.; Wojciechowski, S. A hierarchy of coupled Korteweg-de Vries equations and the normalization conditions of the Hilbert-Riemann problem. (English) Zbl 0548.35098 J. Phys. A 16, 2423-2432 (1983). Reviewer: V.Z.Enol’skij MSC: 35Q99 35Q15 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 16, 2423--2432 (1983; Zbl 0548.35098) Full Text: DOI
Levi, D.; Pilloni, L.; Santini, P. M. Integrable three-dimensional lattices. (English) Zbl 0481.35046 J. Phys. A 14, 1567-1575 (1981). MSC: 35G10 35K25 35R10 35Q99 35R20 81Q99 PDFBibTeX XMLCite \textit{D. Levi} et al., J. Phys. A, Math. Gen. 14, 1567--1575 (1981; Zbl 0481.35046) Full Text: DOI
Levi, D. Nonlinear differential difference equations as Bäcklund transformations. (English) Zbl 0465.35081 J. Phys. A 14, 1083-1098 (1981). MSC: 35R10 35K55 35A22 35G10 35K25 35P05 35J10 PDFBibTeX XMLCite \textit{D. Levi}, J. Phys. A, Math. Gen. 14, 1083--1098 (1981; Zbl 0465.35081) Full Text: DOI
Bruschi, M.; Levi, D.; Ragnisco, O. Toda lattice and generalised Wronskian technique. (English) Zbl 0445.35011 J. Phys. A 13, 2531-2533 (1980). MSC: 35A22 35P25 35G10 35K25 PDFBibTeX XMLCite \textit{M. Bruschi} et al., J. Phys. A, Math. Gen. 13, 2531--2533 (1980; Zbl 0445.35011) Full Text: DOI
Levi, D.; Ragnisco, O. Non-linear differential-difference equations with N-dependent coefficients. II. (English) Zbl 0477.34047 J. Phys. A 12, L163-L167 (1979). MSC: 34K10 39B05 34A34 PDFBibTeX XMLCite \textit{D. Levi} and \textit{O. Ragnisco}, J. Phys. A, Math. Gen. 12, L163--L167 (1979; Zbl 0477.34047)