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Grundland, Alfred Michel

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Author ID: grundland.alfred-michel Recent zbMATH articles by "Grundland, Alfred Michel"
Published as: Grundland, A.; Grundland, A. M.; Grundland, A. Michel; Grundland, Alfred; Grundland, Alfred M.; Grundland, Alfred Michel
Homepage: http://www.crm.umontreal.ca/~grundlan/
Documents Indexed: 116 Publications since 1974

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Citations contained in zbMATH Open

83 Publications have been cited 350 times in 197 Documents Cited by Year
A family of nonlinear Klein-Gordon equations and their solutions. Zbl 0764.35088
Grundland, A. M.; Infeld, E.
23
1992
Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026
Grundland, A. M.; Harnad, J.; Winternitz, P.
23
1984
Symmetry properties and explicit solutions of the generalized Weierstrass system. Zbl 1016.53008
Bracken, P.; Grundland, A. M.
20
2001
Surfaces immersed in \(\mathfrak{su}(N+1)\) Lie algebras obtained from the \(\mathbb CP^N\) sigma models. Zbl 1097.53005
Grundland, A. M.; Strasburger, A.; Zakrzewski, W. J.
13
2006
The Weierstrass-Enneper system for constant mean curvature surfaces and the completely integrable sigma model. Zbl 0967.53004
Bracken, P.; Grundland, A. M.; Martina, L.
12
1999
On higher-order Riccati equations as Bäcklund transformations. Zbl 0937.35161
Grundland, A. M.; Levi, D.
10
1999
Simple waves in quasilinear hyperbolic systems. I: Theory of simple waves and simple states. Examples of applications. Zbl 0555.35079
Grundland, Alfred M.; Żelazny, Roman
10
1983
Analysis of \(\mathbb{C}\mathbb{P}^{N-1}\) sigma models via projective structures. Zbl 1235.81111
Post, S.; Grundland, A. M.
8
2012
On analytic descriptions of two-dimensional surfaces associated with the \({\mathbb C} P^{N-1} \) sigma model. Zbl 1169.53043
Grundland, A. M.; Yurduşen, İ
8
2009
Weak transversality and partially invariant solutions. Zbl 1062.35063
Grundland, A. M.; Tempesta, P.; Winternitz, P.
8
2003
Exact solutions of the multidimensional classical \(\phi ^ 6\)-field equations obtained by symmetry reduction. Zbl 0658.70015
Winternitz, P.; Grundland, A. M.; Tuszyński, J. A.
8
1987
On the existence of nonclassical symmetries of partial differential equations. Zbl 0828.35112
Grundland, A. M.; Tafel, J.
7
1995
Simple waves in quasilinear hyperbolic systems. II. Riemann invariants for the problem of simple wave interactions. Zbl 0555.35080
Grundland, Alfred M.; Żelazny, Roman
7
1983
Invariant recurrence relations for \(\mathbb {CP}^{N-1}\) models. Zbl 1202.37104
Goldstein, P. P.; Grundland, A. M.
6
2010
A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation. Zbl 1126.34054
Conte, Robert; Grundland, A. Michel; Musette, Micheline
6
2006
\(\mathbb{C} P^{N-1}\) harmonic maps and the Weierstrass problem. Zbl 1062.58020
Grundland, A. M.; Zakrzewski, W. J.
6
2003
On certain classes of solutions of the Weierstrass-Enneper system inducing constant mean curvature surfaces. Zbl 0967.53005
Bracken, P.; Grundland, A. M.
6
1999
Partial differential equations with differential constraints. Zbl 0893.35118
Grundland, Alfred M.; Martina, Luigi; Rideau, Guy
6
1997
Invariant and partially-invariant solutions of the equations describing a non-stationary and isentropic flow for an ideal and compressible fluid in \((3+1)\) dimensions. Zbl 0914.35096
Grundland, A. M.; Lalague, L.
6
1996
Nonclassical symmetry reduction and Riemann wave solutions. Zbl 0855.58062
Grundland, A. M.; Tafel, J.
6
1996
A certain class of solutions of the nonlinear wave equation. Zbl 0563.58032
Cieciura, Grzegorz; Grundland, Alfred
6
1984
Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs. Zbl 1121.35076
Grundland, A. M.; Huard, B.
5
2007
Riemann invariants and rank-\(k\) solutions of hyperbolic systems. Zbl 1116.35083
Grundland, A. M.; Huard, B.
5
2006
On complete integrability of the generalized Weierstrass system. Zbl 0998.35054
Bracken, P.; Grundland, A. M.
5
2002
Discrete third-order spectral problems and a new Toda-type equation. Zbl 1004.37050
Levi, D.; Grundland, A. M.
5
2002
The superposition principle for the Lie type first-order PDEs. Zbl 0974.35021
Odzijewicz, A.; Grundland, A. M.
5
2000
Invariant solutions of hydrodynamic-type equations. Zbl 0961.35117
Grundland, A. M.; Sheftel, M. B.; Winternitz, P.
5
2000
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II: Tzitzéica equation. Zbl 0946.35086
Conte, Robert; Musette, Micheline; Grundland, A. Michel
5
1999
Analysis of the three-dimensional time-dependent Landau-Ginzburg equation and its solutions. Zbl 0711.35141
Skierski, M.; Grundland, A. M.; Tuszyński, J. A.
5
1989
Classical-quantum correspondence for shape-invariant systems. Zbl 1320.33014
Grundland, A. M.; Riglioni, D.
4
2015
Soliton surfaces associated with sigma models: differential and algebraic aspects. Zbl 1256.81105
Goldstein, P. P.; Grundland, A. M.; Post, S.
4
2012
Soliton surfaces associated with generalized symmetries of integrable equations. Zbl 1223.35274
Grundland, A. M.; Post, S.
4
2011
Invariant solutions of the supersymmetric sine-Gordon equation. Zbl 1179.35285
Grundland, A. M.; Hariton, A. J.; Šnobl, L.
4
2009
On the solvability of the Cauchy problem for Riemann double-waves by the Monge-Darboux method. Zbl 0754.35083
Grundland, Alfred M.; Vassiliou, Peter J.
4
1991
\(\mathbb CP^{N}\) sigma models via the \(\mathbf{SU}(2)\) coherent states approach. Zbl 1414.53051
Grundland, A. M.; Strasburger, A.; Dziewa-Dawidczyk, D.
3
2017
Soliton surfaces and generalized symmetries of integrable systems. Zbl 1282.35124
Grundland, A. M.; Post, S.; Riglioni, D.
3
2014
Surfaces immersed in Lie algebras associated with elliptic integrals. Zbl 1237.37050
Grundland, A. M.; Post, S.
3
2012
Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions. Zbl 1152.81453
Grundland, A. M.; Hariton, A. J.
3
2008
A supersymmetric version of a Gaussian irrotational compressible fluid flow. Zbl 1127.76056
Grundland, A. M.; Hariton, A. J.
3
2007
Description of surfaces associated with \({\mathbb C} P^{N-1}\) sigma models on Minkowski space. Zbl 1092.53044
Grundland, A. M.; Šnobl, L.
3
2006
The Weierstrass representation for surfaces immersed into \(\mathbb R^8\) and \(\mathbb CP^2\) maps. Zbl 1060.53069
Grundland, A. M.; Zakrzewski, W. J.
3
2002
Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006
Ferapontov, E. V.; Grundland, A. M.
3
2000
On the Bäcklund transformation and the theorem of permutability for the generalized Weierstrass system. Zbl 0967.35115
Bracken, P.; Grundland, A. M.
3
2000
Simple waves and invariant solutions of quasilinear systems. Zbl 0865.35034
Doyle, P. W.; Grundland, A. M.
3
1996
Riemann invariants for nonhomogeneous systems of quasi-linear partial differential equations. Conditions of involution. Zbl 0296.35014
Grundland, A.
3
1974
Riemann invariants for nonhomogeneous systems of first-order partial quasi-linear differential equations - algebraic aspects. Examples from gasdynamics. Zbl 0291.35006
Grundland, A.
3
1974
On a stack of surfaces obtained from the \(\mathbb{C}P^{N-1}\) sigma models. Zbl 1386.53008
Goldstein, P. P.; Grundland, A. M.
2
2018
Reductions of Gauss-Codazzi equations. Zbl 1361.35142
Conte, Robert; Grundland, A. Michel
2
2016
Soliton surfaces in the generalized symmetry approach. Zbl 1353.37141
Grundland, A. M.
2
2016
Solutions of first-order quasilinear systems expressed in Riemann invariants. Zbl 1336.35026
Grundland, A. M.; Lamothe, V.
2
2015
Multimode solutions of first-order elliptic quasilinear systems. Zbl 1321.35038
Grundland, A. M.; Lamothe, V.
2
2015
On the integrability of supersymmetric versions of the structural equations for conformally parametrized surfaces. Zbl 1319.35209
Bertrand, Sébastien; Grundland, Alfred M.; Hariton, Alexander J.
2
2015
Conformally parametrized surfaces associated with \({\mathbb C} P^{N-1} \) sigma models. Zbl 1135.53041
Grundland, A. M.; Hereman, W. A.; Yurduşen, İ
2
2008
On \(\mathbb{C} P^1\) and \(\mathbb{C} P^2\) maps and Weierstrass representations for surfaces immersed into multi-dimensional Euclidean spaces. Zbl 1038.53064
Grundland, A. M.; Zakrzewski, W. J.
2
2003
Solutions of the generalized Weierstrass representation in four-dimensional Euclidean space. Zbl 1061.35087
Bracken, P.; Grundland, A. M.
2
2002
Conditional symmetries for \(1^{\text{st}}\) order systems of PDEs in the context of the Clairin method. Zbl 0910.35034
Grundland, Alfred M.; Rideau, Guy
2
1995
Group invariant solutions to the Einstein equations with pure radiation fields. Zbl 0786.35134
Grundland, A. M.; Tafel, J.
2
1993
Symmetry breaking and bifurcating solutions in the classical complex \(\phi ^ 6\) field theory. Zbl 0657.35012
Grundland, A. M.; Tuszyński, J. A.
2
1987
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
1
2020
A Lie systems approach to the Riccati hierarchy and partial differential equations. Zbl 1436.34031
Grundland, A. M.; de Lucas, J.
1
2017
Supersymmetric versions of the Fokas-Gel’fand formula for immersion. Zbl 1433.35326
Bertrand, S.; Grundland, A. M.
1
2016
Supersymmetric versions of the equations of conformally parametrized surfaces. Zbl 1316.53007
Bertrand, S.; Grundland, A. M.; Hariton, A. J.
1
2015
Supersymmetric formulation of polytropic gas dynamics and its invariant solutions. Zbl 1316.76090
Grundland, A. M.; Hariton, A. J.
1
2011
Invariant solutions of supersymmetric nonlinear wave equations. Zbl 1209.81099
Grundland, A. M.; Hariton, A. J.; Šnobl, L.
1
2011
\(N=2\) supersymmetric extension of a hydrodynamic system in Riemann invariants. Zbl 1256.37035
Grundland, A. M.; Hariton, A. J.
1
2009
Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions. Zbl 1159.76041
Conte, R.; Grundland, A. M.; Huard, B.
1
2009
Surfaces associated with sigma models. Zbl 1145.58303
Grundland, A. M.; Šnobl, L.
1
2006
Description of surfaces associated with Grassmannian sigma models on Minkowski space. Zbl 1110.58007
Grundland, A. M.; Šnobl, L.
1
2005
On conditionally invariant solutions of magnetohydrodynamic equations. Multiple waves. Zbl 1040.35071
Grundland, A. M.; Picard, P.
1
2004
Group-invariant solutions of relativistic and nonrelativistic models in field theory. Zbl 1062.81074
Grundland, A. M.; Hariton, A. J.; Hussin, V.
1
2003
On certain geometric aspects of \(\mathbb{C} P^N\) harmonic maps. Zbl 1061.53043
Grundland, A. M.; Zakrzewski, W. J.
1
2003
On vortex solutions and links between the Weierstrass system and the complex sine-Gordon equations. Zbl 1040.35090
Bracken, P.; Goldstein, P. P.; Grundland, A. M.
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
On the solutions of the \(CP^ 1\) model in \((2+1)\) dimensions. Zbl 0865.58050
Grundland, A. M.; Winternitz, P.; Zakrzewski, W. J.
1
1996
Lie subgroups of the symmetry group of the equations describing a nonstationary and isentropic flow: Invariant and partially invariant solutions. Zbl 0991.76557
Grundland, A. M.; Lalague, L.
1
1994
Interaction of kink-type solutions of the harmonic map equations. Zbl 0827.35130
Grundland, A. M.; Kovalyov, M.; Sussman, M.
1
1994
Riemann double waves, Darboux method and the Painlevé property. Zbl 0875.35119
Grundland, A. M.; Vassiliou, P.
1
1992
Conical solutions of the autonomous partial differential systems. Zbl 0755.35017
Burnat, M.; Grundland, A. M.
1
1991
On fluid dynamics equations from the point of view of the symmetry group reduction and Riemann invariants methods. Zbl 0737.35068
Grundland, A. M.; Martina, L.
1
1990
Geometrical aspects of the system \(| \nabla v| ^ 2=\alpha (v)\), \(\nabla ^ 2v=\beta (v)\) and applications to the nonlinear wave equation. Zbl 0589.35041
Cieciura, G.; Grundland, A. M.
1
1987
Simple waves for equation of potential, nonstationary flow of compressible gas. Zbl 0608.76060
Kalinowski, M. W.; Grundland, A.
1
1986
Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036
Grundland, A. M.; Harnad, J.; Winternitz, P.
1
1984
Riemann invariants. Zbl 0559.35017
Grundland, A. M.
1
1984
Minimal surfaces associated with orthogonal polynomials. Zbl 1441.53003
Chalifour, Vincent; Grundland, Alfred Michel
1
2020
On a stack of surfaces obtained from the \(\mathbb{C}P^{N-1}\) sigma models. Zbl 1386.53008
Goldstein, P. P.; Grundland, A. M.
2
2018
\(\mathbb CP^{N}\) sigma models via the \(\mathbf{SU}(2)\) coherent states approach. Zbl 1414.53051
Grundland, A. M.; Strasburger, A.; Dziewa-Dawidczyk, D.
3
2017
A Lie systems approach to the Riccati hierarchy and partial differential equations. Zbl 1436.34031
Grundland, A. M.; de Lucas, J.
1
2017
Reductions of Gauss-Codazzi equations. Zbl 1361.35142
Conte, Robert; Grundland, A. Michel
2
2016
Soliton surfaces in the generalized symmetry approach. Zbl 1353.37141
Grundland, A. M.
2
2016
Supersymmetric versions of the Fokas-Gel’fand formula for immersion. Zbl 1433.35326
Bertrand, S.; Grundland, A. M.
1
2016
Classical-quantum correspondence for shape-invariant systems. Zbl 1320.33014
Grundland, A. M.; Riglioni, D.
4
2015
Solutions of first-order quasilinear systems expressed in Riemann invariants. Zbl 1336.35026
Grundland, A. M.; Lamothe, V.
2
2015
Multimode solutions of first-order elliptic quasilinear systems. Zbl 1321.35038
Grundland, A. M.; Lamothe, V.
2
2015
On the integrability of supersymmetric versions of the structural equations for conformally parametrized surfaces. Zbl 1319.35209
Bertrand, Sébastien; Grundland, Alfred M.; Hariton, Alexander J.
2
2015
Supersymmetric versions of the equations of conformally parametrized surfaces. Zbl 1316.53007
Bertrand, S.; Grundland, A. M.; Hariton, A. J.
1
2015
Soliton surfaces and generalized symmetries of integrable systems. Zbl 1282.35124
Grundland, A. M.; Post, S.; Riglioni, D.
3
2014
Analysis of \(\mathbb{C}\mathbb{P}^{N-1}\) sigma models via projective structures. Zbl 1235.81111
Post, S.; Grundland, A. M.
8
2012
Soliton surfaces associated with sigma models: differential and algebraic aspects. Zbl 1256.81105
Goldstein, P. P.; Grundland, A. M.; Post, S.
4
2012
Surfaces immersed in Lie algebras associated with elliptic integrals. Zbl 1237.37050
Grundland, A. M.; Post, S.
3
2012
Soliton surfaces associated with generalized symmetries of integrable equations. Zbl 1223.35274
Grundland, A. M.; Post, S.
4
2011
Supersymmetric formulation of polytropic gas dynamics and its invariant solutions. Zbl 1316.76090
Grundland, A. M.; Hariton, A. J.
1
2011
Invariant solutions of supersymmetric nonlinear wave equations. Zbl 1209.81099
Grundland, A. M.; Hariton, A. J.; Šnobl, L.
1
2011
Invariant recurrence relations for \(\mathbb {CP}^{N-1}\) models. Zbl 1202.37104
Goldstein, P. P.; Grundland, A. M.
6
2010
On analytic descriptions of two-dimensional surfaces associated with the \({\mathbb C} P^{N-1} \) sigma model. Zbl 1169.53043
Grundland, A. M.; Yurduşen, İ
8
2009
Invariant solutions of the supersymmetric sine-Gordon equation. Zbl 1179.35285
Grundland, A. M.; Hariton, A. J.; Šnobl, L.
4
2009
\(N=2\) supersymmetric extension of a hydrodynamic system in Riemann invariants. Zbl 1256.37035
Grundland, A. M.; Hariton, A. J.
1
2009
Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions. Zbl 1159.76041
Conte, R.; Grundland, A. M.; Huard, B.
1
2009
Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions. Zbl 1152.81453
Grundland, A. M.; Hariton, A. J.
3
2008
Conformally parametrized surfaces associated with \({\mathbb C} P^{N-1} \) sigma models. Zbl 1135.53041
Grundland, A. M.; Hereman, W. A.; Yurduşen, İ
2
2008
Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs. Zbl 1121.35076
Grundland, A. M.; Huard, B.
5
2007
A supersymmetric version of a Gaussian irrotational compressible fluid flow. Zbl 1127.76056
Grundland, A. M.; Hariton, A. J.
3
2007
Surfaces immersed in \(\mathfrak{su}(N+1)\) Lie algebras obtained from the \(\mathbb CP^N\) sigma models. Zbl 1097.53005
Grundland, A. M.; Strasburger, A.; Zakrzewski, W. J.
13
2006
A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation. Zbl 1126.34054
Conte, Robert; Grundland, A. Michel; Musette, Micheline
6
2006
Riemann invariants and rank-\(k\) solutions of hyperbolic systems. Zbl 1116.35083
Grundland, A. M.; Huard, B.
5
2006
Description of surfaces associated with \({\mathbb C} P^{N-1}\) sigma models on Minkowski space. Zbl 1092.53044
Grundland, A. M.; Šnobl, L.
3
2006
Surfaces associated with sigma models. Zbl 1145.58303
Grundland, A. M.; Šnobl, L.
1
2006
Description of surfaces associated with Grassmannian sigma models on Minkowski space. Zbl 1110.58007
Grundland, A. M.; Šnobl, L.
1
2005
On conditionally invariant solutions of magnetohydrodynamic equations. Multiple waves. Zbl 1040.35071
Grundland, A. M.; Picard, P.
1
2004
Weak transversality and partially invariant solutions. Zbl 1062.35063
Grundland, A. M.; Tempesta, P.; Winternitz, P.
8
2003
\(\mathbb{C} P^{N-1}\) harmonic maps and the Weierstrass problem. Zbl 1062.58020
Grundland, A. M.; Zakrzewski, W. J.
6
2003
On \(\mathbb{C} P^1\) and \(\mathbb{C} P^2\) maps and Weierstrass representations for surfaces immersed into multi-dimensional Euclidean spaces. Zbl 1038.53064
Grundland, A. M.; Zakrzewski, W. J.
2
2003
Group-invariant solutions of relativistic and nonrelativistic models in field theory. Zbl 1062.81074
Grundland, A. M.; Hariton, A. J.; Hussin, V.
1
2003
On certain geometric aspects of \(\mathbb{C} P^N\) harmonic maps. Zbl 1061.53043
Grundland, A. M.; Zakrzewski, W. J.
1
2003
On vortex solutions and links between the Weierstrass system and the complex sine-Gordon equations. Zbl 1040.35090
Bracken, P.; Goldstein, P. P.; Grundland, A. M.
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
On complete integrability of the generalized Weierstrass system. Zbl 0998.35054
Bracken, P.; Grundland, A. M.
5
2002
Discrete third-order spectral problems and a new Toda-type equation. Zbl 1004.37050
Levi, D.; Grundland, A. M.
5
2002
The Weierstrass representation for surfaces immersed into \(\mathbb R^8\) and \(\mathbb CP^2\) maps. Zbl 1060.53069
Grundland, A. M.; Zakrzewski, W. J.
3
2002
Solutions of the generalized Weierstrass representation in four-dimensional Euclidean space. Zbl 1061.35087
Bracken, P.; Grundland, A. M.
2
2002
Symmetry properties and explicit solutions of the generalized Weierstrass system. Zbl 1016.53008
Bracken, P.; Grundland, A. M.
20
2001
The superposition principle for the Lie type first-order PDEs. Zbl 0974.35021
Odzijewicz, A.; Grundland, A. M.
5
2000
Invariant solutions of hydrodynamic-type equations. Zbl 0961.35117
Grundland, A. M.; Sheftel, M. B.; Winternitz, P.
5
2000
Links between different analytic descriptions of constant mean curvature surfaces. Zbl 0961.53006
Ferapontov, E. V.; Grundland, A. M.
3
2000
On the Bäcklund transformation and the theorem of permutability for the generalized Weierstrass system. Zbl 0967.35115
Bracken, P.; Grundland, A. M.
3
2000
The Weierstrass-Enneper system for constant mean curvature surfaces and the completely integrable sigma model. Zbl 0967.53004
Bracken, P.; Grundland, A. M.; Martina, L.
12
1999
On higher-order Riccati equations as Bäcklund transformations. Zbl 0937.35161
Grundland, A. M.; Levi, D.
10
1999
On certain classes of solutions of the Weierstrass-Enneper system inducing constant mean curvature surfaces. Zbl 0967.53005
Bracken, P.; Grundland, A. M.
6
1999
Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II: Tzitzéica equation. Zbl 0946.35086
Conte, Robert; Musette, Micheline; Grundland, A. Michel
5
1999
Partial differential equations with differential constraints. Zbl 0893.35118
Grundland, Alfred M.; Martina, Luigi; Rideau, Guy
6
1997
Invariant and partially-invariant solutions of the equations describing a non-stationary and isentropic flow for an ideal and compressible fluid in \((3+1)\) dimensions. Zbl 0914.35096
Grundland, A. M.; Lalague, L.
6
1996
Nonclassical symmetry reduction and Riemann wave solutions. Zbl 0855.58062
Grundland, A. M.; Tafel, J.
6
1996
Simple waves and invariant solutions of quasilinear systems. Zbl 0865.35034
Doyle, P. W.; Grundland, A. M.
3
1996
On the solutions of the \(CP^ 1\) model in \((2+1)\) dimensions. Zbl 0865.58050
Grundland, A. M.; Winternitz, P.; Zakrzewski, W. J.
1
1996
On the existence of nonclassical symmetries of partial differential equations. Zbl 0828.35112
Grundland, A. M.; Tafel, J.
7
1995
Conditional symmetries for \(1^{\text{st}}\) order systems of PDEs in the context of the Clairin method. Zbl 0910.35034
Grundland, Alfred M.; Rideau, Guy
2
1995
Lie subgroups of the symmetry group of the equations describing a nonstationary and isentropic flow: Invariant and partially invariant solutions. Zbl 0991.76557
Grundland, A. M.; Lalague, L.
1
1994
Interaction of kink-type solutions of the harmonic map equations. Zbl 0827.35130
Grundland, A. M.; Kovalyov, M.; Sussman, M.
1
1994
Group invariant solutions to the Einstein equations with pure radiation fields. Zbl 0786.35134
Grundland, A. M.; Tafel, J.
2
1993
A family of nonlinear Klein-Gordon equations and their solutions. Zbl 0764.35088
Grundland, A. M.; Infeld, E.
23
1992
Riemann double waves, Darboux method and the Painlevé property. Zbl 0875.35119
Grundland, A. M.; Vassiliou, P.
1
1992
On the solvability of the Cauchy problem for Riemann double-waves by the Monge-Darboux method. Zbl 0754.35083
Grundland, Alfred M.; Vassiliou, Peter J.
4
1991
Conical solutions of the autonomous partial differential systems. Zbl 0755.35017
Burnat, M.; Grundland, A. M.
1
1991
On fluid dynamics equations from the point of view of the symmetry group reduction and Riemann invariants methods. Zbl 0737.35068
Grundland, A. M.; Martina, L.
1
1990
Analysis of the three-dimensional time-dependent Landau-Ginzburg equation and its solutions. Zbl 0711.35141
Skierski, M.; Grundland, A. M.; Tuszyński, J. A.
5
1989
Exact solutions of the multidimensional classical \(\phi ^ 6\)-field equations obtained by symmetry reduction. Zbl 0658.70015
Winternitz, P.; Grundland, A. M.; Tuszyński, J. A.
8
1987
Symmetry breaking and bifurcating solutions in the classical complex \(\phi ^ 6\) field theory. Zbl 0657.35012
Grundland, A. M.; Tuszyński, J. A.
2
1987
Geometrical aspects of the system \(| \nabla v| ^ 2=\alpha (v)\), \(\nabla ^ 2v=\beta (v)\) and applications to the nonlinear wave equation. Zbl 0589.35041
Cieciura, G.; Grundland, A. M.
1
1987
Simple waves for equation of potential, nonstationary flow of compressible gas. Zbl 0608.76060
Kalinowski, M. W.; Grundland, A.
1
1986
Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026
Grundland, A. M.; Harnad, J.; Winternitz, P.
23
1984
A certain class of solutions of the nonlinear wave equation. Zbl 0563.58032
Cieciura, Grzegorz; Grundland, Alfred
6
1984
Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036
Grundland, A. M.; Harnad, J.; Winternitz, P.
1
1984
Riemann invariants. Zbl 0559.35017
Grundland, A. M.
1
1984
Simple waves in quasilinear hyperbolic systems. I: Theory of simple waves and simple states. Examples of applications. Zbl 0555.35079
Grundland, Alfred M.; Żelazny, Roman
10
1983
Simple waves in quasilinear hyperbolic systems. II. Riemann invariants for the problem of simple wave interactions. Zbl 0555.35080
Grundland, Alfred M.; Żelazny, Roman
7
1983
Riemann invariants for nonhomogeneous systems of quasi-linear partial differential equations. Conditions of involution. Zbl 0296.35014
Grundland, A.
3
1974
Riemann invariants for nonhomogeneous systems of first-order partial quasi-linear differential equations - algebraic aspects. Examples from gasdynamics. Zbl 0291.35006
Grundland, A.
3
1974
all top 5

Cited by 216 Authors

43 Grundland, Alfred Michel
16 Bracken, Paul Francis
10 Fushchych, Vil’gel’m Illich
10 Zakrzewski, Wojciech J.
7 Winternitz, Pavel
6 Cariñena, José F.
6 de Lucas, Javier
5 Barannyk, Leonid F.
5 Hariton, Alexander J.
5 Polyanin, Andrei D.
5 Zhdanov, Renat Z.
4 Conte, Robert M.
4 Popovych, Roman O.
4 Suleĭmanov, Bulat Irekovich
4 Zhang, Ping
4 Zheng, Yuxi
4 Zhurov, Alexei I.
3 Barannyk, Anatoliy F.
3 Cicogna, Giampaolo
3 Doliwa, Adam
3 Ferapontov, Evgeny Vladimirovich
3 Hussin, Véronique
3 Lahno, Victor Ivanovich
3 Lamothe, Vincent
3 Qu, Changzheng
3 Sergyeyev, Artur
3 Wallace, Rodrick
3 Yurduşen, Ismet
2 Bertrand, Sébastien
2 Boyko, Vyacheslav M.
2 Chalifour, Vincent
2 Cieśliński, Jan L.
2 Currò, Carmela
2 Delisle, Laurent
2 Douglas, Andrew S.
2 Fan, Engui
2 Goldstein, Piotr P.
2 Grabowski, Janusz
2 Güngör, Faruk
2 Hu, Jiayi
2 Hu, Yanbo
2 Huang, Dingjiang
2 Huard, Benoit
2 Khusnutdinova, Karima Robertovna
2 Kobus, Artur
2 Laino, Michele
2 Légaré, Martin
2 Manganaro, Natale
2 Pavlenko, Viktor Aleksandrovich
2 Repka, Joe
2 Revenko, I. V.
2 Saccomandi, Giuseppe
2 Sachdev, P. L.
2 Santini, Paolo Maria
2 Sardón, Cristina
2 Šnobl, Libor
2 Torres, Pedro José
2 Wallace, Deborah N.
2 Wu, Changhong
2 Zhou, Shuigeng
2 Zhu, Zuonong
1 Al-Omari, Shadi
1 Alsid, Scott
1 Arsie, Alessandro
1 Azad, Hassan
1 Bao, Weizhu
1 Bihlo, Alexander
1 Błaszak, Maciej
1 Boyer, Charles P.
1 Bressan, Alberto
1 Bruzón, Maria Santos
1 Cao, Haiyan
1 Cao, Xifang
1 Cattani, Carlo
1 Chou, Kai-Seng
1 Cieciura, Grzegorz
1 Crampé, Nicolas
1 Dai, Huihui
1 David, Damien
1 Ding, Qing
1 Doyle, Philip W.
1 Dunajski, Maciej
1 Duston, Christopher Levi
1 Egorchenko, I. A.
1 El-Kalaawy, Omar H.
1 Eschenburg, Jost-Hinrich
1 Escobar-Ruiz, Mauricio A.
1 Eshraghi, Homayoon
1 Farfán, Filemon
1 Fedorchuk, Vasyl M.
1 Ferreira, Luiz Agostinho
1 Fusco, Domenico
1 Gaeta, Giuseppe
1 Gandarias Núñez, Maria Luz
1 García-Salcedo, Ricardo
1 Ghose Choudhury, Anindya
1 Guha, Partha
1 Guo, Jong-Shenq
1 Gupta, Neelam
1 Khabibullin, Ismagil Talgatovich
...and 116 more Authors
all top 5

Cited in 69 Serials

40 Journal of Mathematical Physics
11 Journal of Mathematical Analysis and Applications
10 Journal of Nonlinear Mathematical Physics
9 Ukrainian Mathematical Journal
7 Theoretical and Mathematical Physics
7 International Journal of Geometric Methods in Modern Physics
5 Physics Letters. A
5 Journal of Geometry and Physics
5 Acta Applicandae Mathematicae
4 Letters in Mathematical Physics
4 Nonlinearity
4 Reports on Mathematical Physics
4 Communications in Nonlinear Science and Numerical Simulation
4 Ufimskiĭ Matematicheskiĭ Zhurnal
3 International Journal of Modern Physics A
3 Journal of Differential Equations
3 Physica D
3 Journal of Physics A: Mathematical and Theoretical
2 International Journal of Modern Physics B
2 Communications in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Reviews in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Computation
2 Studies in Applied Mathematics
2 Communications in Partial Differential Equations
2 Doklady Mathematics
2 Annales Henri Poincaré
2 Advances in Mathematical Physics
1 Acta Mechanica
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Differential Geometry and its Applications
1 Applications of Mathematics
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Selecta Mathematica. New Series
1 Engineering Analysis with Boundary Elements
1 Journal of Applied Analysis
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Foundations of Physics
1 International Journal of Parallel, Emergent and Distributed Systems
1 Communications in Theoretical Physics
1 Science China. Mathematics
1 Symmetry
1 S\(\vec{\text{e}}\)MA Journal
1 Mathematics

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