Ruggieri, Marianna; Valenti, Antonino Approximate symmetries in nonlinear viscoelastic media. (English) Zbl 1316.35279 Bound. Value Probl. 2013, Paper No. 143, 8 p. (2013). Reviewer: Luisa Fattorusso (Raggio Calabria) MSC: 35Q74 32A37 35B35 42B20 43A15 PDFBibTeX XMLCite \textit{M. Ruggieri} and \textit{A. Valenti}, Bound. Value Probl. 2013, Paper No. 143, 8 p. (2013; Zbl 1316.35279) Full Text: DOI
Ruggieri, Marianna; Valenti, Antonino Exact solutions for a nonlinear model of dissipative media. (English) Zbl 1316.35199 J. Math. Phys. 52, No. 4, 043520, 7 p. (2011). MSC: 35L70 78A60 78A48 PDFBibTeX XMLCite \textit{M. Ruggieri} and \textit{A. Valenti}, J. Math. Phys. 52, No. 4, 043520, 7 p. (2011; Zbl 1316.35199) Full Text: DOI
Ibragimov, N. H.; Khamitova, R. S.; Valenti, A. Self-adjointness of a generalized Camassa-Holm equation. (English) Zbl 1246.35175 Appl. Math. Comput. 218, No. 6, 2579-2583 (2011). MSC: 35Q51 35Q53 47B25 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., Appl. Math. Comput. 218, No. 6, 2579--2583 (2011; Zbl 1246.35175) Full Text: DOI arXiv
Ruggieri, Marianna; Valenti, Antonino Symmetries and reduction techniques for dissipative models. (English) Zbl 1216.35008 J. Math. Phys. 50, No. 6, 063506, 9 p. (2009). MSC: 35A30 35G20 74J30 PDFBibTeX XMLCite \textit{M. Ruggieri} and \textit{A. Valenti}, J. Math. Phys. 50, No. 6, 063506, 9 p. (2009; Zbl 1216.35008) Full Text: DOI
Valenti, Antonino Approximate symmetries of a viscoelastic model. (English) Zbl 1284.35024 Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk; 978-981-277-235-0/ebook). 582-588 (2008). MSC: 35A30 35Q74 74D10 PDFBibTeX XMLCite \textit{A. Valenti}, in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 582--588 (2008; Zbl 1284.35024) Full Text: DOI
Ruggieri, M.; Valenti, A. Symmetry analysis of a viscoelastic model. (English) Zbl 1284.35023 Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk; 978-981-277-235-0/ebook). 514-519 (2008). MSC: 35A30 35B06 35Q74 74D10 74H99 PDFBibTeX XMLCite \textit{M. Ruggieri} and \textit{A. Valenti}, in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 514--519 (2008; Zbl 1284.35023) Full Text: DOI
Ruggieri, M.; Valenti, A. Symmetries and reduction techniques for a dissipative model. (English) Zbl 1345.74062 Monaco, Roberto (ed.) et al., Proceedings “WASCOM 2005”. 13th conference on waves and stability in continuous media, Catania, Italy, June 19–25, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-804-2/hbk; 978-981-277-361-6/ebook). 481-492 (2006). MSC: 74J30 35B06 35Q74 PDFBibTeX XMLCite \textit{M. Ruggieri} and \textit{A. Valenti}, in: Proceedings ``WASCOM 2005''. 13th conference on waves and stability in continuous media, Catania, Italy, June 19--25, 2005. Hackensack, NJ: World Scientific. 481--492 (2006; Zbl 1345.74062) Full Text: DOI
Senthilvelan, M.; Torrisi, M.; Valenti, A. Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation. (English) Zbl 1089.81019 J. Phys. A, Math. Gen. 39, No. 14, 3703-3713 (2006). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{M. Senthilvelan} et al., J. Phys. A, Math. Gen. 39, No. 14, 3703--3713 (2006; Zbl 1089.81019) Full Text: DOI arXiv
Romano, V.; Valenti, A. Exact invariant solutions for a class of energy-transport models of semiconductors in the two dimensional stationary case. (English) Zbl 1064.35197 Commun. Nonlinear Sci. Numer. Simul. 10, No. 5, 499-514 (2005). MSC: 35Q60 82D37 PDFBibTeX XMLCite \textit{V. Romano} and \textit{A. Valenti}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 5, 499--514 (2005; Zbl 1064.35197) Full Text: DOI
Gandarias, M. L.; Torrisi, M.; Valenti, A. Symmetry classification and optimal systems of a non-linear wave equation. (English) Zbl 1348.35140 Int. J. Non-Linear Mech. 39, No. 3, 389-398 (2004). MSC: 35L70 35A30 PDFBibTeX XMLCite \textit{M. L. Gandarias} et al., Int. J. Non-Linear Mech. 39, No. 3, 389--398 (2004; Zbl 1348.35140) Full Text: DOI
Torrisi, Mariano; Tracinà, Rita; Valenti, Antonino On the linearization of semilinear wave equations. (English) Zbl 1077.35101 Nonlinear Dyn. 36, No. 1, 97-106 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35L70 70G65 58J70 PDFBibTeX XMLCite \textit{M. Torrisi} et al., Nonlinear Dyn. 36, No. 1, 97--106 (2004; Zbl 1077.35101) Full Text: DOI
Torrisi, M.; Tracinà, R.; Valenti, A. A new class of linearizable wave equations. (English) Zbl 1065.35020 Monaco, Roberto (ed.) et al., “WASCOM 2003”—Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1–7, 2003. River Edge, NJ: World Scientific (ISBN 981-238-748-X/hbk). 541-546 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35A30 35L70 58J70 PDFBibTeX XMLCite \textit{M. Torrisi} et al., in: ``WASCOM 2003'' -- Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1--7, 2003. River Edge, NJ: World Scientific. 541--546 (2004; Zbl 1065.35020)
Romano, V.; Valenti, A. On group analysis of a class of energy-transport models of semiconductors in the two dimensional stationary case. (English) Zbl 1065.35019 Monaco, Roberto (ed.) et al., “WASCOM 2003”—Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1–7, 2003. River Edge, NJ: World Scientific (ISBN 981-238-748-X/hbk). 434-440 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35A30 78A20 76M60 82D37 78A35 58J70 PDFBibTeX XMLCite \textit{V. Romano} and \textit{A. Valenti}, in: ``WASCOM 2003'' -- Proceedings ot the 12th conference on waves and stability in continuous media, Villasimius, Italy, June 1--7, 2003. River Edge, NJ: World Scientific. 434--440 (2004; Zbl 1065.35019)
Ibragimov, N. H.; Torrisi, M.; Valenti, A. Differential invariants of nonlinear equations \(v_{tt}\)=\(f\)(\(x\),\(v_{x}\))\(v_{xx}\)+\(g\)(\(x\),\(v_{x}\)). (English) Zbl 1046.35074 Commun. Nonlinear Sci. Numer. Simul. 9, No. 1, 81 (2004). MSC: 35L70 58J70 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., Commun. Nonlinear Sci. Numer. Simul. 9, No. 1, 81 (2004; Zbl 1046.35074) Full Text: DOI
Ibragimov, N. H.; Torrisi, M.; Valenti, A. Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\). (English) Zbl 1035.35081 Commun. Nonlinear Sci. Numer. Simul. 9, No. 1, 69-80 (2004). Reviewer: Valery A. Yumaguzhin (Opava) MSC: 35L70 58J70 54H15 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., Commun. Nonlinear Sci. Numer. Simul. 9, No. 1, 69--80 (2004; Zbl 1035.35081) Full Text: DOI
Romano, V.; Valenti, A. Symmetry analysis and exact invariant solutions for a class of energy-transport models of semiconductors. (English) Zbl 0994.82101 J. Phys. A, Math. Gen. 35, No. 7, 1751-1762 (2002). MSC: 82D37 34C60 35A30 35Q60 PDFBibTeX XMLCite \textit{V. Romano} and \textit{A. Valenti}, J. Phys. A, Math. Gen. 35, No. 7, 1751--1762 (2002; Zbl 0994.82101) Full Text: DOI
Torrisi, M.; Tracinà, R.; Valenti, A. A group analysis approach for a nonlinear differential system arising in diffusion phenomena. (English) Zbl 0872.35004 J. Math. Phys. 37, No. 9, 4758-4767 (1996). Reviewer: G.Czichowski (Greifswald) MSC: 35A22 35C05 35K57 35Q80 PDFBibTeX XMLCite \textit{M. Torrisi} et al., J. Math. Phys. 37, No. 9, 4758--4767 (1996; Zbl 0872.35004) Full Text: DOI
Torrisi, M.; Trancinà, R.; Valenti, A. A semidirect approach to the search for symmetries of a nonlinear second order system of partial differential equations. (English) Zbl 0933.35010 Lie Groups Appl. 1, No. 1, 226-231 (1994). Reviewer: Ch.Athorne (Glasgow) MSC: 35A30 58J70 PDFBibTeX XMLCite \textit{M. Torrisi} et al., Lie Groups Appl. 1, No. 1, 226--231 (1994; Zbl 0933.35010)
Torrisi, M.; Tracinà, R.; Valenti, A. On equivalence transformations applied to a nonlinear wave equation. (English) Zbl 0830.35087 Ibragimov, N. Kh. (ed.) et al., Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers. 367-375 (1993). MSC: 35L70 35A25 PDFBibTeX XMLCite \textit{M. Torrisi} et al., in: Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers. 367--375 (1993; Zbl 0830.35087)
Ibragimov, N. Kh. (ed.); Torrisi, M. (ed.); Valenti, A. (ed.) Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. (English) Zbl 0782.00073 Dordrecht: Kluwer Academic Publishers. xi, 393 p. (1993). MSC: 00B25 58-06 35-06 PDFBibTeX XMLCite \textit{N. Kh. Ibragimov} (ed.) et al., Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers (1993; Zbl 0782.00073)
Torrisi, M.; Valenti, A. Wave features for a heat conductor with thermal relaxation. (English) Zbl 0832.35090 Z. Angew. Math. Phys. 43, No. 2, 357-366 (1992). MSC: 35L60 35L67 80A20 PDFBibTeX XMLCite \textit{M. Torrisi} and \textit{A. Valenti}, Z. Angew. Math. Phys. 43, No. 2, 357--366 (1992; Zbl 0832.35090) Full Text: DOI
Ibragimov, N. H.; Torrisi, M.; Valenti, A. Preliminary group classification of equations \(v_{tt}=f(x,v_ x)v_{xx} +g(x,v_ x)\). (English) Zbl 0737.35099 J. Math. Phys. 32, No. 11, 2988-2995 (1991). MSC: 35Q53 58J70 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., J. Math. Phys. 32, No. 11, 2988--2995 (1991; Zbl 0737.35099) Full Text: DOI
Torrisi, M.; Valenti, A. Group analysis and some solutions of a nonlinear wave equation. (English) Zbl 0717.73005 Atti Semin. Mat. Fis. Univ. Modena 38, No. 2, 445-458 (1990). Reviewer: M.Degiovanni MSC: 74E15 74B20 35L70 74H45 35L05 35A22 PDFBibTeX XMLCite \textit{M. Torrisi} and \textit{A. Valenti}, Atti Semin. Mat. Fis. Univ. Modena 38, No. 2, 445--458 (1990; Zbl 0717.73005)
Torrisi, Mariano; Valenti, Antonino On a supplementary conservation law for a hyperbolic model of heat conductor. (English) Zbl 0717.35055 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 1, No. 2, 171-176 (1990). Reviewer: R.Kodnar MSC: 35L65 PDFBibTeX XMLCite \textit{M. Torrisi} and \textit{A. Valenti}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 1, No. 2, 171--176 (1990; Zbl 0717.35055) Full Text: EuDML
Valenti, Antonino The asymptotic analysis of nonlinear waves in magneto-thermoelastic solids with thermal relaxation. (English) Zbl 0644.73011 Z. Angew. Math. Phys. 39, No. 3, 299-312 (1988). MSC: 74F05 74F15 35G10 35K25 35K05 PDFBibTeX XMLCite \textit{A. Valenti}, Z. Angew. Math. Phys. 39, No. 3, 299--312 (1988; Zbl 0644.73011) Full Text: DOI
Torrisi, M.; Valenti, A. Group properties and invariant solutions for infinitesimal transformations of a non-linear wave equation. (English) Zbl 0572.35070 Int. J. Non-Linear Mech. 20, 135-144 (1985). MSC: 35L70 22E30 35A30 35B40 PDFBibTeX XMLCite \textit{M. Torrisi} and \textit{A. Valenti}, Int. J. Non-Linear Mech. 20, 135--144 (1985; Zbl 0572.35070) Full Text: DOI