Grundland, Alfred Michel; Marquette, Ian The Lie algebra of the lowest transitively differential group of degree three. (English) Zbl 07723979 J. Phys. A, Math. Theor. 56, No. 34, Article ID 345205, 24 p. (2023). MSC: 17-XX 81-XX PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{I. Marquette}, J. Phys. A, Math. Theor. 56, No. 34, Article ID 345205, 24 p. (2023; Zbl 07723979) Full Text: DOI arXiv
Bertrand, S.; Grundland, A. M. Structural equations of supermanifolds immersed in the superspace \(\mathcal{M}^{(3| 2)}(c)\) with a prescribed curvature. (English) Zbl 1396.81192 J. Phys. A, Math. Theor. 51, No. 30, Article ID 305202, 20 p. (2018). MSC: 81T60 46S60 53C42 58D10 53C45 51M10 PDFBibTeX XMLCite \textit{S. Bertrand} and \textit{A. M. Grundland}, J. Phys. A, Math. Theor. 51, No. 30, Article ID 305202, 20 p. (2018; Zbl 1396.81192) Full Text: DOI arXiv
Goldstein, P. P.; Grundland, A. M. On a stack of surfaces obtained from the \(\mathbb{C}P^{N-1}\) sigma models. (English) Zbl 1386.53008 J. Phys. A, Math. Theor. 51, No. 9, Article ID 095201, 12 p. (2018). MSC: 53A07 53C43 70S20 PDFBibTeX XMLCite \textit{P. P. Goldstein} and \textit{A. M. Grundland}, J. Phys. A, Math. Theor. 51, No. 9, Article ID 095201, 12 p. (2018; Zbl 1386.53008) Full Text: DOI arXiv
Dey, Sanjib; Grundland, A. M. Properties of soliton surfaces associated with integrable \(\mathbb{C}P^{N-1}\) sigma models. (English) Zbl 1373.81274 J. Phys. A, Math. Theor. 50, No. 33, Article ID 335201, 19 p. (2017). MSC: 81T10 35C08 81R12 30F10 PDFBibTeX XMLCite \textit{S. Dey} and \textit{A. M. Grundland}, J. Phys. A, Math. Theor. 50, No. 33, Article ID 335201, 19 p. (2017; Zbl 1373.81274) Full Text: DOI arXiv
Bertrand, S.; Grundland, A. M. Supersymmetric versions of the Fokas-Gel’fand formula for immersion. (English) Zbl 1433.35326 J. Phys. A, Math. Theor. 49, No. 30, Article ID 305201, 20 p. (2016). MSC: 35Q51 53A05 22E70 81Q60 PDFBibTeX XMLCite \textit{S. Bertrand} and \textit{A. M. Grundland}, J. Phys. A, Math. Theor. 49, No. 30, Article ID 305201, 20 p. (2016; Zbl 1433.35326) Full Text: DOI arXiv
Grundland, A. M.; Riglioni, D. Classical-quantum correspondence for shape-invariant systems. (English) Zbl 1320.33014 J. Phys. A, Math. Theor. 48, No. 24, Article ID 245201, 15 p. (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 33C47 35Q40 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{D. Riglioni}, J. Phys. A, Math. Theor. 48, No. 24, Article ID 245201, 15 p. (2015; Zbl 1320.33014) Full Text: DOI arXiv
Bertrand, S.; Grundland, A. M.; Hariton, A. J. Supersymmetric versions of the equations of conformally parametrized surfaces. (English) Zbl 1316.53007 J. Phys. A, Math. Theor. 48, No. 17, Article ID 175208, 37 p. (2015). MSC: 53A05 22E70 35Q53 81Q60 58A50 PDFBibTeX XMLCite \textit{S. Bertrand} et al., J. Phys. A, Math. Theor. 48, No. 17, Article ID 175208, 37 p. (2015; Zbl 1316.53007) Full Text: DOI arXiv
Grundland, A. M.; Post, S.; Riglioni, D. Soliton surfaces and generalized symmetries of integrable systems. (English) Zbl 1282.35124 J. Phys. A, Math. Theor. 47, No. 1, Article ID 015201, 14 p. (2014). MSC: 35C08 37K05 37K10 35B06 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Phys. A, Math. Theor. 47, No. 1, Article ID 015201, 14 p. (2014; Zbl 1282.35124) Full Text: DOI arXiv
Grundland, A. M.; Post, S. Corrigendum to: “Soliton surfaces via a zero-curvature representation of differential equations”. (English) Zbl 1252.34102 J. Phys. A, Math. Theor. 45, No. 41, Article ID 419501, 1 p. (2012). MSC: 34M15 34M55 34A26 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{S. Post}, J. Phys. A, Math. Theor. 45, No. 41, Article ID 419501, 1 p. (2012; Zbl 1252.34102) Full Text: DOI
Goldstein, P. P.; Grundland, A. M.; Post, S. Soliton surfaces associated with sigma models: differential and algebraic aspects. (English) Zbl 1256.81105 J. Phys. A, Math. Theor. 45, No. 39, Article ID 395208, 19 p. (2012). MSC: 81T45 53C43 35Q51 PDFBibTeX XMLCite \textit{P. P. Goldstein} et al., J. Phys. A, Math. Theor. 45, No. 39, Article ID 395208, 19 p. (2012; Zbl 1256.81105) Full Text: DOI arXiv
Grundland, A. M.; Post, S. Soliton surfaces via a zero-curvature representation of differential equations. (English) Zbl 1250.34071 J. Phys. A, Math. Theor. 45, No. 11, Article ID 115204, 24 p. (2012); corrigendum ibid. 45, No. 41, Article ID 419501, 1 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 34M15 34M55 34A26 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{S. Post}, J. Phys. A, Math. Theor. 45, No. 11, Article ID 115204, 24 p. (2012; Zbl 1250.34071) Full Text: DOI arXiv
Grundland, A. M.; Post, S. Surfaces immersed in Lie algebras associated with elliptic integrals. (English) Zbl 1237.37050 J. Phys. A, Math. Theor. 45, No. 1, Article ID 015204, 20 p. (2012). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 58J72 53A05 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{S. Post}, J. Phys. A, Math. Theor. 45, No. 1, Article ID 015204, 20 p. (2012; Zbl 1237.37050) Full Text: DOI arXiv
Grundland, A. M.; Post, S. Soliton surfaces associated with generalized symmetries of integrable equations. (English) Zbl 1223.35274 J. Phys. A, Math. Theor. 44, No. 16, Article ID 165203, 31 p. (2011). Reviewer: Agostino Prástaro (Roma) MSC: 35Q53 35Q51 53A05 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{S. Post}, J. Phys. A, Math. Theor. 44, No. 16, Article ID 165203, 31 p. (2011; Zbl 1223.35274) Full Text: DOI arXiv
Grundland, A. M.; Hariton, A. J.; Šnobl, L. Invariant solutions of supersymmetric nonlinear wave equations. (English) Zbl 1209.81099 J. Phys. A, Math. Theor. 44, No. 8, Article ID 085204, 22 p. (2011). MSC: 81Q05 81Q60 35Q55 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Phys. A, Math. Theor. 44, No. 8, Article ID 085204, 22 p. (2011; Zbl 1209.81099) Full Text: DOI Link
Grundland, A. M.; Huard, B. Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems. (English) Zbl 1208.35008 J. Phys. A, Math. Theor. 43, No. 45, Article ID 455217, 16 p. (2010). MSC: 35B06 35L60 35Q35 35C05 58J70 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{B. Huard}, J. Phys. A, Math. Theor. 43, No. 45, Article ID 455217, 16 p. (2010; Zbl 1208.35008) Full Text: DOI arXiv Link
Goldstein, P. P.; Grundland, A. M. Invariant recurrence relations for \(\mathbb {CP}^{N-1}\) models. (English) Zbl 1202.37104 J. Phys. A, Math. Theor. 43, No. 26, Article ID 265206, 18 p. (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K40 35Q51 32A20 37F10 PDFBibTeX XMLCite \textit{P. P. Goldstein} and \textit{A. M. Grundland}, J. Phys. A, Math. Theor. 43, No. 26, Article ID 265206, 18 p. (2010; Zbl 1202.37104) Full Text: DOI arXiv
Grundland, A. M.; Hariton, A. J.; Šnobl, L. Invariant solutions of the supersymmetric sine-Gordon equation. (English) Zbl 1179.35285 J. Phys. A, Math. Theor. 42, No. 33, Article ID 335203, 23 p. (2009). MSC: 35Q53 35C05 35B10 35B06 37K05 37K30 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Phys. A, Math. Theor. 42, No. 33, Article ID 335203, 23 p. (2009; Zbl 1179.35285) Full Text: DOI arXiv
Grundland, A. M.; Yurduşen, İ On analytic descriptions of two-dimensional surfaces associated with the \({\mathbb C} P^{N-1} \) sigma model. (English) Zbl 1169.53043 J. Phys. A, Math. Theor. 42, No. 17, Article ID 172001, 5 p. (2009). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53C40 53C42 37K10 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{İ Yurduşen}, J. Phys. A, Math. Theor. 42, No. 17, Article ID 172001, 5 p. (2009; Zbl 1169.53043) Full Text: DOI arXiv
Conte, R.; Grundland, A. M.; Huard, B. Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions. (English) Zbl 1159.76041 J. Phys. A, Math. Theor. 42, No. 13, Article ID 135203, 14 p. (2009). MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{R. Conte} et al., J. Phys. A, Math. Theor. 42, No. 13, Article ID 135203, 14 p. (2009; Zbl 1159.76041) Full Text: DOI arXiv Link
Grundland, A. M.; Hereman, W. A.; Yurduşen, İ Conformally parametrized surfaces associated with \({\mathbb C} P^{N-1} \) sigma models. (English) Zbl 1135.53041 J. Phys. A, Math. Theor. 41, No. 6, Article ID 065204, 28 p. (2008). MSC: 53C43 53C40 PDFBibTeX XMLCite \textit{A. M. Grundland} et al., J. Phys. A, Math. Theor. 41, No. 6, Article ID 065204, 28 p. (2008; Zbl 1135.53041) Full Text: DOI arXiv
Grundland, A. M.; Hariton, A. J. A supersymmetric version of a Gaussian irrotational compressible fluid flow. (English) Zbl 1127.76056 J. Phys. A, Math. Theor. 40, No. 50, 15113-15129 (2007). MSC: 76N15 76M60 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{A. J. Hariton}, J. Phys. A, Math. Theor. 40, No. 50, 15113--15129 (2007; Zbl 1127.76056) Full Text: DOI arXiv
Grundland, A. M.; Huard, B. Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs. (English) Zbl 1121.35076 J. Phys. A, Math. Theor. 40, No. 15, 4093-4123 (2007). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 35L60 58J70 35Q51 35A30 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{B. Huard}, J. Phys. A, Math. Theor. 40, No. 15, 4093--4123 (2007; Zbl 1121.35076) Full Text: DOI arXiv Link