Karimpour, Hossein; Keshmiri, Mehdi; Mahzoon, Mojtaba Stabilization of an autonomous rolling sphere navigating in a labyrinth arena: A geometric mechanics perspective. (English) Zbl 1250.93087 Syst. Control Lett. 61, No. 4, 495-505 (2012). MSC: 93C85 93B27 93D21 70Q05 PDF BibTeX XML Cite \textit{H. Karimpour} et al., Syst. Control Lett. 61, No. 4, 495--505 (2012; Zbl 1250.93087) Full Text: DOI OpenURL
Bluman, George; Dridi, Raouf New solutions for ordinary differential equations. (English) Zbl 1237.34004 J. Symb. Comput. 47, No. 1, 76-88 (2012). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34A05 34C15 PDF BibTeX XML Cite \textit{G. Bluman} and \textit{R. Dridi}, J. Symb. Comput. 47, No. 1, 76--88 (2012; Zbl 1237.34004) Full Text: DOI arXiv OpenURL
Naicker, V.; O’Hara, J. G.; Leach, P. G. L. A note on the integrability of the classical portfolio selection model. (English) Zbl 1195.91147 Appl. Math. Lett. 23, No. 9, 1114-1119 (2010). Reviewer: Angel Francisco Tenorio Villalon (Seville) MSC: 91G10 91G80 17B80 70G65 PDF BibTeX XML Cite \textit{V. Naicker} et al., Appl. Math. Lett. 23, No. 9, 1114--1119 (2010; Zbl 1195.91147) Full Text: DOI OpenURL
Tempesta, Piergiulio Discretization of nonlinear evolution equations over associative function algebras. (English) Zbl 1190.37076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7-8, 3237-3246 (2010). Reviewer: Hu Chuangan (Cupertino) MSC: 37K10 PDF BibTeX XML Cite \textit{P. Tempesta}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7--8, 3237--3246 (2010; Zbl 1190.37076) Full Text: DOI OpenURL
Liu, Hanze; Li, Jibin; Liu, Lei Lie group classifications and exact solutions for two variable-coefficient equations. (English) Zbl 1232.35173 Appl. Math. Comput. 215, No. 8, 2927-2935 (2009). MSC: 35Q91 35B05 58J70 PDF BibTeX XML Cite \textit{H. Liu} et al., Appl. Math. Comput. 215, No. 8, 2927--2935 (2009; Zbl 1232.35173) Full Text: DOI OpenURL
Liu, Hanze; Li, Jibin; Zhang, Quanxin Lie symmetry analysis and exact explicit solutions for general Burgers’ equation. (English) Zbl 1166.35033 J. Comput. Appl. Math. 228, No. 1, 1-9 (2009). MSC: 35Q53 35Q35 35C10 22E70 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Comput. Appl. Math. 228, No. 1, 1--9 (2009; Zbl 1166.35033) Full Text: DOI OpenURL
Kalpakides, V. K.; Maugin, G. A. Canonical formulation and conservation laws of thermoelasticity without dissipation. (English) Zbl 1121.74019 Rep. Math. Phys. 53, No. 3, 371-391 (2004). MSC: 74F05 74G65 PDF BibTeX XML Cite \textit{V. K. Kalpakides} and \textit{G. A. Maugin}, Rep. Math. Phys. 53, No. 3, 371--391 (2004; Zbl 1121.74019) Full Text: DOI OpenURL
Blankenstein, Guido; Ratiu, Tudor S. Singular reduction of implicit Hamiltonian systems. (English) Zbl 1065.37040 Rep. Math. Phys. 53, No. 2, 211-260 (2004). Reviewer: Mircea Puta (Timişoara) MSC: 37J15 37J35 53D20 PDF BibTeX XML Cite \textit{G. Blankenstein} and \textit{T. S. Ratiu}, Rep. Math. Phys. 53, No. 2, 211--260 (2004; Zbl 1065.37040) Full Text: DOI arXiv OpenURL
Gürses, Metin; Karasu, Atalay Integrable KdV systems: Recursion operators of degree four. (English) Zbl 0984.37081 Phys. Lett., A 251, No. 4, 247-249 (1999). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Karasu}, Phys. Lett., A 251, No. 4, 247--249 (1999; Zbl 0984.37081) Full Text: DOI arXiv OpenURL
Athorne, Chris Projective lifts and generalized Ermakov and Bernoulli systems. (English) Zbl 0932.34002 J. Math. Anal. Appl. 233, No. 2, 552-563 (1999). Reviewer: C.Ursescu (Iaşi) MSC: 34A26 34C20 PDF BibTeX XML Cite \textit{C. Athorne}, J. Math. Anal. Appl. 233, No. 2, 552--563 (1999; Zbl 0932.34002) Full Text: DOI OpenURL
Mansfield, Elizabeth L.; Reid, Gregory J.; Clarkson, Peter A. Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schrödinger system. (English) Zbl 0996.35069 Comput. Phys. Commun. 115, No. 2-3, 460-488 (1998). MSC: 35Q55 35-04 37K05 35A30 78A60 PDF BibTeX XML Cite \textit{E. L. Mansfield} et al., Comput. Phys. Commun. 115, No. 2--3, 460--488 (1998; Zbl 0996.35069) Full Text: DOI OpenURL
Maciejewski, Andrzej J.; Popov, Sasho I. Invariants of homogeneous ordinary differential equations. (English) Zbl 0929.34006 Rep. Math. Phys. 41, No. 3, 287-310 (1998). Reviewer: S.Zelik (Moskva) MSC: 34A25 34A05 34C05 PDF BibTeX XML Cite \textit{A. J. Maciejewski} and \textit{S. I. Popov}, Rep. Math. Phys. 41, No. 3, 287--310 (1998; Zbl 0929.34006) Full Text: DOI OpenURL
Ibáñez, Raúl; de León, Manuel; Marrero, Juan C.; Martín de Diego, David Reduction of generalized Poisson and Nambu-Poisson manifolds. (English) Zbl 0931.37024 Rep. Math. Phys. 42, No. 1-2, 71-90 (1998). Reviewer: David Martín de Diego (Valladolid) MSC: 37K05 37K30 53C15 70G45 PDF BibTeX XML Cite \textit{R. Ibáñez} et al., Rep. Math. Phys. 42, No. 1--2, 71--90 (1998; Zbl 0931.37024) Full Text: DOI OpenURL
van der Schaft, A. J. Implicit Hamiltonian systems with symmetry. (English) Zbl 0921.70014 Rep. Math. Phys. 41, No. 2, 203-221 (1998). Reviewer: Jan Chrastina (Brno) MSC: 70H33 70F25 37C80 PDF BibTeX XML Cite \textit{A. J. van der Schaft}, Rep. Math. Phys. 41, No. 2, 203--221 (1998; Zbl 0921.70014) Full Text: DOI OpenURL
Mansfield, Elizabeth L.; Clarkson, Peter A. Symmetries and exact solutions for a \(2+1\)-dimensional shallow water wave equation. (English) Zbl 0869.68060 Math. Comput. Simul. 43, No. 1, 39-55 (1997). MSC: 68W30 PDF BibTeX XML Cite \textit{E. L. Mansfield} and \textit{P. A. Clarkson}, Math. Comput. Simul. 43, No. 1, 39--55 (1997; Zbl 0869.68060) Full Text: DOI OpenURL
Khater, A. H.; El-Kalaawy, O. H.; Helal, M. A. Two new classes of exact solutions for the KdV equation via Bäcklund transformations. (English) Zbl 0938.35169 Chaos Solitons Fractals 8, No. 12, 1901-1909 (1997). MSC: 35Q53 37K35 PDF BibTeX XML Cite \textit{A. H. Khater} et al., Chaos Solitons Fractals 8, No. 12, 1901--1909 (1997; Zbl 0938.35169) Full Text: DOI OpenURL
Vassilev, Vassil M. Application of Lie groups to the theory of shells and rods. (English) Zbl 0903.73040 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4839-4848 (1997). Reviewer: W.Becker (Siegen) MSC: 74K15 74K10 35A30 PDF BibTeX XML Cite \textit{V. M. Vassilev}, Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4839--4848 (1997; Zbl 0903.73040) Full Text: DOI OpenURL
Clarkson, P. A.; Mansfield, E. L.; Priestley, T. J. Symmetries of a class of nonlinear third-order partial differential equations. (English) Zbl 0879.35005 Math. Comput. Modelling 25, No. 8-9, 195-212 (1997). Reviewer: W.M.Seiler (Karlsruhe) MSC: 35A25 58J70 13P10 35Q58 37J35 37K10 68W30 PDF BibTeX XML Cite \textit{P. A. Clarkson} et al., Math. Comput. Modelling 25, No. 8--9, 195--212 (1997; Zbl 0879.35005) Full Text: DOI arXiv OpenURL
Hereman, W. Review of symbolic software for Lie symmetry analysis. (English) Zbl 0898.34002 Math. Comput. Modelling 25, No. 8-9, 115-132 (1997). Reviewer: K.Gatermann (Berlin) MSC: 34-04 68Q25 34L40 35Q55 22E99 PDF BibTeX XML Cite \textit{W. Hereman}, Math. Comput. Modelling 25, No. 8--9, 115--132 (1997; Zbl 0898.34002) Full Text: DOI OpenURL
Seiler, W. M. Involution and symmetry reductions. (English) Zbl 0906.34006 Math. Comput. Modelling 25, No. 8-9, 63-73 (1997). Reviewer: V.I.Tkachenko (Kyïv) MSC: 34A25 34C20 PDF BibTeX XML Cite \textit{W. M. Seiler}, Math. Comput. Modelling 25, No. 8--9, 63--73 (1997; Zbl 0906.34006) Full Text: DOI OpenURL
Sarlet, W. Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations. (English) Zbl 0881.34008 Math. Comput. Modelling 25, No. 8-9, 39-49 (1997). MSC: 34A26 70F25 PDF BibTeX XML Cite \textit{W. Sarlet}, Math. Comput. Modelling 25, No. 8--9, 39--49 (1997; Zbl 0881.34008) Full Text: DOI OpenURL
Gragert, P. K. H.; Kersten, P. H. M. Differential geometric computations and computer algebra. (English) Zbl 0893.53017 Math. Comput. Modelling 25, No. 8-9, 11-24 (1997). Reviewer: V.Yu.Rovenskij (Krasnoyarsk) MSC: 53C21 68W30 35Q53 PDF BibTeX XML Cite \textit{P. K. H. Gragert} and \textit{P. H. M. Kersten}, Math. Comput. Modelling 25, No. 8--9, 11--24 (1997; Zbl 0893.53017) Full Text: DOI OpenURL
Ma, W. X.; Fuchssteiner, B. The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy. (English) Zbl 1073.37537 Phys. Lett., A 213, No. 1-2, 49-55 (1996). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{W. X. Ma} and \textit{B. Fuchssteiner}, Phys. Lett., A 213, No. 1--2, 49--55 (1996; Zbl 1073.37537) Full Text: DOI arXiv OpenURL
Vijayakumar, K.; Bhutani, O. P. Similarity reductions and Painlevé analysis for the nonlinear Boltzmann equation. (English) Zbl 0900.76529 Int. J. Eng. Sci. 34, No. 5, 501-507 (1996). MSC: 76P05 PDF BibTeX XML Cite \textit{K. Vijayakumar} and \textit{O. P. Bhutani}, Int. J. Eng. Sci. 34, No. 5, 501--507 (1996; Zbl 0900.76529) Full Text: DOI OpenURL
Seiler, Werner M. Arbitrariness of the general solution and symmetries. (English) Zbl 0844.35020 Acta Appl. Math. 41, No. 1-3, 311-322 (1995). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35G20 58J70 70Sxx PDF BibTeX XML Cite \textit{W. M. Seiler}, Acta Appl. Math. 41, No. 1--3, 311--322 (1995; Zbl 0844.35020) Full Text: DOI OpenURL
Sarlet, W.; Vandecasteele, A.; Cantrijn, F.; Martínez, E. Derivations of forms along a map: The framework for time-dependent second-order equations. (English) Zbl 0831.58003 Differ. Geom. Appl. 5, No. 2, 171-203 (1995). Reviewer: J.Chrastina (Brno) MSC: 58A10 58A30 53C05 58A99 PDF BibTeX XML Cite \textit{W. Sarlet} et al., Differ. Geom. Appl. 5, No. 2, 171--203 (1995; Zbl 0831.58003) Full Text: DOI OpenURL
Clarkson, Peter A. Nonclassical symmetry reductions of the Boussinesq equation. (English) Zbl 0952.37019 Chaos Solitons Fractals 5, No. 12, 2261-2301 (1995). MSC: 37K05 37K10 PDF BibTeX XML Cite \textit{P. A. Clarkson}, Chaos Solitons Fractals 5, No. 12, 2261--2301 (1995; Zbl 0952.37019) Full Text: DOI OpenURL
Abraham-Shrauner, B.; Govinder, K. S.; Leach, P. G. L. Integration of second order ordinary differential equations not possessing Lie point symmetries. (English) Zbl 1020.34500 Phys. Lett., A 203, No. 4, 169-174 (1995). MSC: 34A05 34A25 PDF BibTeX XML Cite \textit{B. Abraham-Shrauner} et al., Phys. Lett., A 203, No. 4, 169--174 (1995; Zbl 1020.34500) Full Text: DOI OpenURL
Haas, F.; Goedert, J. On the generalized Hamiltonian structure of 3D dynamical systems. (English) Zbl 1020.35533 Phys. Lett., A 199, No. 3-4, 173-179 (1995). MSC: 37J35 35Q99 70H05 PDF BibTeX XML Cite \textit{F. Haas} and \textit{J. Goedert}, Phys. Lett., A 199, No. 3--4, 173--179 (1995; Zbl 1020.35533) Full Text: DOI arXiv OpenURL
Lamb, J. S. W.; Quispel, G. R. W. Reversing \(k\)-symmetries in dynamical systems. (English) Zbl 0814.58035 Physica D 73, No. 4, 277-304 (1994). MSC: 37C80 PDF BibTeX XML Cite \textit{J. S. W. Lamb} and \textit{G. R. W. Quispel}, Physica D 73, No. 4, 277--304 (1994; Zbl 0814.58035) Full Text: DOI OpenURL
Clarkson, Peter A.; Mansfield, Elizabeth L. Symmetry reductions and exact solutions of a class of nonlinear heat equations. (English) Zbl 0812.35017 Physica D 70, No. 3, 250-288 (1994). MSC: 35C05 35K05 35K57 35K55 58J70 PDF BibTeX XML Cite \textit{P. A. Clarkson} and \textit{E. L. Mansfield}, Physica D 70, No. 3, 250--288 (1994; Zbl 0812.35017) Full Text: DOI arXiv OpenURL
Lamb, J. S. W.; Roberts, J. A. G.; Capel, H. W. Conditions for local (reversing) symmetries in dynamical systems. (English) Zbl 0803.34022 Physica A 197, No. 3, 379-422 (1993). MSC: 34C20 37C80 PDF BibTeX XML Cite \textit{J. S. W. Lamb} et al., Physica A 197, No. 3, 379--422 (1993; Zbl 0803.34022) Full Text: DOI OpenURL
Clarkson, P. A. Nonclassical symmetry reductions of nonlinear partial differential equations. (English) Zbl 0805.35092 Math. Comput. Modelling 18, No. 10, 45-68 (1993). MSC: 35Q35 35Q53 58J70 35Q55 PDF BibTeX XML Cite \textit{P. A. Clarkson}, Math. Comput. Modelling 18, No. 10, 45--68 (1993; Zbl 0805.35092) Full Text: DOI OpenURL
Ioakimidis, N. I. Application of complex path-independent integrals to problems of bending of thin elastic plates. (English) Zbl 0825.73294 Arch. Appl. Mech. 62, No. 4, 248-255 (1992). MSC: 74K20 PDF BibTeX XML Cite \textit{N. I. Ioakimidis}, Arch. Appl. Mech. 62, No. 4, 248--255 (1992; Zbl 0825.73294) Full Text: DOI OpenURL
Olver, Peter J. Symmetry and explicit solutions of partial differential equations. (English) Zbl 0777.35017 Appl. Numer. Math. 10, No. 3-4, 307-324 (1992). Reviewer: J.D.P.Donnelly (Oxford) MSC: 35C05 22E99 PDF BibTeX XML Cite \textit{P. J. Olver}, Appl. Numer. Math. 10, No. 3--4, 307--324 (1992; Zbl 0777.35017) Full Text: DOI OpenURL
Pucci, Edvige; Saccomandi, Giuseppe On the weak symmetry groups of partial differential equations. (English) Zbl 0755.35003 J. Math. Anal. Appl. 163, No. 2, 588-598 (1992). Reviewer: A.D.Osborne (Keele) MSC: 35A25 22E70 54H15 PDF BibTeX XML Cite \textit{E. Pucci} and \textit{G. Saccomandi}, J. Math. Anal. Appl. 163, No. 2, 588--598 (1992; Zbl 0755.35003) Full Text: DOI OpenURL
Ioakimidis, N. I. Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems. (English) Zbl 0725.73007 Comput. Methods Appl. Mech. Eng. 84, No. 1, 1-14 (1990). MSC: 74E05 74S30 30C35 74B05 PDF BibTeX XML Cite \textit{N. I. Ioakimidis}, Comput. Methods Appl. Mech. Eng. 84, No. 1, 1--14 (1990; Zbl 0725.73007) Full Text: DOI OpenURL
Olver, Peter J. Classical invariant theory and the equivalence problem for particle Lagrangians. I: Binary forms. (English) Zbl 0721.49011 Adv. Math. 80, No. 1, 39-77 (1990). MSC: 49J40 PDF BibTeX XML Cite \textit{P. J. Olver}, Adv. Math. 80, No. 1, 39--77 (1990; Zbl 0721.49011) Full Text: DOI OpenURL
Pucci, Edvige; Saccomandi, Giuseppe Symmetries and conversation laws in micropolar elasticity. (English) Zbl 0715.73003 Int. J. Eng. Sci. 28, No. 7, 557-562 (1990). MSC: 74E15 74A35 74A20 74S30 74P10 74B05 PDF BibTeX XML Cite \textit{E. Pucci} and \textit{G. Saccomandi}, Int. J. Eng. Sci. 28, No. 7, 557--562 (1990; Zbl 0715.73003) Full Text: DOI OpenURL
Grammaticos, B.; Moulin-Ollagnier, Jean; Ramani, A.; Strelcyn, Jean-Marie; Wojciechowski, S. Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system. (English) Zbl 0714.34005 Physica A 163, No. 2, 683-722 (1990). MSC: 34A05 34A25 PDF BibTeX XML Cite \textit{B. Grammaticos} et al., Physica A 163, No. 2, 683--722 (1990; Zbl 0714.34005) Full Text: DOI OpenURL
Kamran, Niky; Olver, Peter J. Equivalence problems for first order Lagrangians on the line. (English) Zbl 0677.49034 J. Differ. Equations 80, No. 1, 32-78 (1989). MSC: 49Q99 58A15 PDF BibTeX XML Cite \textit{N. Kamran} and \textit{P. J. Olver}, J. Differ. Equations 80, No. 1, 32--78 (1989; Zbl 0677.49034) Full Text: DOI OpenURL
Quintanilla, Ramón Instability of the solutions of evolutionary equations using conservation laws. (English) Zbl 0686.35014 J. Math. Anal. Appl. 131, No. 2, 530-536 (1988). MSC: 35B40 35L65 PDF BibTeX XML Cite \textit{R. Quintanilla}, J. Math. Anal. Appl. 131, No. 2, 530--536 (1988; Zbl 0686.35014) Full Text: DOI OpenURL
Olver, Peter J. Canonical elastic moduli. (English) Zbl 0658.73014 J. Elasticity 19, No. 3, 189-212 (1988). Reviewer: G.A.C.Graham MSC: 74B99 74E10 PDF BibTeX XML Cite \textit{P. J. Olver}, J. Elasticity 19, No. 3, 189--212 (1988; Zbl 0658.73014) Full Text: DOI OpenURL
Olver, Peter J. The equivalence problem and canonical forms for quadratic Lagrangians. (English) Zbl 0654.49002 Adv. Appl. Math. 9, No. 2, 226-257 (1988). Reviewer: W.Velte MSC: 49J10 49K10 74E10 74S30 PDF BibTeX XML Cite \textit{P. J. Olver}, Adv. Appl. Math. 9, No. 2, 226--257 (1988; Zbl 0654.49002) Full Text: DOI OpenURL
Olver, Peter J. Darboux’ theorem for Hamiltonian differential operators. (English) Zbl 0651.47036 J. Differ. Equations 71, No. 1, 10-33 (1988). Reviewer: D.Robert MSC: 47E05 37J99 PDF BibTeX XML Cite \textit{P. J. Olver}, J. Differ. Equations 71, No. 1, 10--33 (1988; Zbl 0651.47036) Full Text: DOI OpenURL
González-Gascón, F.; González-López, A. Note on a paper by Anderson. (English) Zbl 0647.53058 Gen. Relativ. Gravitation 20, No. 9, 951-956 (1988). MSC: 53B50 83C10 PDF BibTeX XML Cite \textit{F. González-Gascón} and \textit{A. González-López}, Gen. Relativ. Gravitation 20, No. 9, 951--956 (1988; Zbl 0647.53058) Full Text: DOI OpenURL
Olver, Peter J. A nonlinear Hamiltonian structure for the Euler equations. (English) Zbl 0534.76035 J. Math. Anal. Appl. 89, 233-250 (1982). Reviewer: G.Minea MSC: 76B99 70H05 PDF BibTeX XML Cite \textit{P. J. Olver}, J. Math. Anal. Appl. 89, 233--250 (1982; Zbl 0534.76035) Full Text: DOI OpenURL