A. Grundland

发表

VIA THE SU(2) COHERENT STATES APPROACH

A. Grundland, 2018 .

On the surfaces associated with ℂPN−1 models

A. Grundland, P. Goldstein, 2010, 1010.6179.

General solution of the exceptional Hermite differential equation and its minimal surface representation

A. Grundland, V. Chalifour, 2020, Annales Henri Poincaré.

On CP 1 and CP 2 Maps and Weierstrass Representations for Surfaces Immersed into Multi-Dimensional Euclidean Spaces

W. Zakrzewski, A. Grundland, A. Grundland, 2003, math/0309097.

Conformally parametrized surfaces associated with {\protect\bb C} P^{N-1} sigma models

W. Hereman, A. Grundland, İ. Yurduşen, 2007, 0710.4366.

Invariant description of ℂℙN−1 sigma models

A. Grundland, P. Goldstein, 2011 .

Invariant formulation of surfaces associated with $CP^{N-1}$ models

A. Grundland, P. Goldstein, 2010, 1002.2906.

Surfaces obtained from CP^(N-1) sigma models

A. Grundland, İ. Yurduşen, I. Yurdusen, 2008, 0802.1077.

D G ] 3 M ay 2 00 6 Surfaces associated with theta function solutions of the periodic 2 D-Toda lattice

A. Grundland, 2006 .

Symmetry properties and explicit solutions of the generalized Weierstrass system

Paul Bracken, A. M. Grundland, P. Bracken, 2001 .

CP N − 1 Harmonic Maps and the Weierstrass System

W. Zakrzewski, A. Grundland, 2004 .

CP N¿1 harmonic maps and the Weierstrass problem

W. Zakrzewski, A. Grundland, 2003 .

On Complete Integrability of the Generalized Weierstrass System

P. Bracken, A. Grundland, Paul Bracken, 2002, nlin/0211028.

On the Bäcklund transformation and the theorem of permutability for the generalized Weierstrass system

P. Bracken, A. Grundland, 2000 .

On the solutions of the CP1 model in (2+1) dimensions

W. Zakrzewski, A. Grundland, P.Winternitz, 1995, hep-th/9506068.

On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces

P. Bracken, A. Grundland, 1999, math/9907210.

Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces

E. Ferapontov, A. Grundland, A. Grundland, 2000, math/0001189.

Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs

B. Huard, A. Grundland, A. Grundland, 2007, math-ph/0701024.

The Painlevé test for C P N − 1 sigma models

A. Grundland, P. Goldstein, 2018 .

Properties of soliton surfaces associated with integrable CPN−1 sigma models

A. Grundland, S. Dey, A. Grundland, 2017, 1706.04625.

Surfaces associated with theta function solutions of the periodic 2D-Toda lattice

M. Y. Mo, A. Grundland, 2006, math/0605081.

Conical solutions of the autonomous partial differential systems

M. Burnat, A. Grundland, 1991 .

Weak transversality and partially invariant solutions

P. Tempesta, P. Winternitz, A. Grundland, 2002, math-ph/0206003.

On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces

P. Bracken, A. Grundland, 1999, math/9907210.

Description of surfaces associated with CPN−1 sigma models on Minkowski space

L. Šnobl, A. Grundland, 2004, math/0405513.

C P 2 S Sigma Models Described Through Hypergeometric Orthogonal Polynomials

N. Crampé, A. Grundland, Ann, 2019 .

On multivortex solutions of the weierstrass representation

P. Bracken, A. Grundland, 2001, nlin/0111058.

Geometrical aspects of the system and applications to the nonlinear wave equation

A. Grundland, G. Cieciura, 1987, Proceedings of the Edinburgh Mathematical Society.

Surfaces associated with sigma models and the sine-Gordon equation

L. Šnobl, A. Grundland, 2006, math/0601302.

Surfaces immersed in \su{N+1} Lie algebras obtained from the {\protect\bb C} P^{N} sigma models

W. Zakrzewski, A. Strasburger, A. Grundland, 2005, math/0502482.

su(2) spin s representations via CP2s sigma models

A. M. Escobar-Ruiz, A. Grundland, P. Goldstein, 2020, Journal of Physics Communications.

Solutions of First-Order Quasilinear Systems Expressed in Riemann Invariants

A. Grundland, V. Lamothe, 2014, Acta Applicandae Mathematicae.

Invariant solutions of a nonlinear wave equation with a small dissipation obtained via approximate symmetries

A. Hariton, A. Grundland, 2020, Ricerche di Matematica.

Invariant solutions of supersymmetric nonlinear wave equations

A. Hariton, L. Šnobl, A. Grundland, 2011 .

Group-invariant solutions of relativistic and nonrelativistic models in field theory

A. J. Hariton, V. Hussin, A. Hariton, 2003 .

Analysis of the three-dimensional time-dependent Landau−Ginzburg equation and its solutions

J. A. Tuszyński, A. M. Grundland, J. Tuszynski, 1989 .

Symmetry reduction for the three-dimensional Landau-Ginzburg equation☆

J. Tuszynski, A. Grundland, M. Skierski, 1988 .

On the Behaviour of Solutions of the Laplace-Beltrami Equations*

A. Grundland, 1986 .

A certain class of solutions of the nonlinear wave equation

A. Grundland, G. Cieciura, 1984 .

The Weierstrass-Enneper system for constant mean curvature surfaces and the completely integrable sigma model

Paul Bracken, Luigi Martina, A. M. Grundland, 1999 .

Exact results in the three-dimensional Landau-Ginzburg model of magnetic inhomogeneities in uniaxial ferromagnets: I. Continuous transitions

J. Tuszynski, P. Winternitz, A. Grundland, 1988 .

On a stack of surfaces obtained from the CPN−1 sigma models

A. Grundland, P. Goldstein, 2017, 1710.01642.

Reductions of Gauss–Codazzi Equations

R. Conte, A. Grundland, 2016, 1601.04300.

Minimal surfaces in the soliton surface approach

A. Doliwa, A. Grundland, 2015, 1511.02173.

Soliton surfaces via a zero-curvature representation of differential equations

A. Grundland, S. Post, 2011, 1111.4162.

Surfaces immersed in Lie algebras associated with elliptic integrals

A. Grundland, S. Post, 2011, 1106.2080.

Supersymmetric versions of the Fokas–Gel’fand formula for immersion

A. Grundland, S. Bertrand, A. Grundland, 2016, 1610.01029.

Invariant recurrence relations for models

A. Grundland, P. Goldstein, A. Grundland, 2009, 0910.0624.

FAST TRACK COMMUNICATION: On analytic descriptions of two-dimensional surfaces associated with the {\bb C} P^{N-1} sigma model

A. Grundland, I. Yurdusen, 2009, 0905.2556.

Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space

P. Bracken, A. Grundland, Paul Bracken, 2002, nlin/0302007.

A pr 2 00 8 On certain geometrical aspects of surfaces associated with C P N − 1 sigma models

A. Grundland, I. Yurdusen, 2009 .

On certain geometrical aspects of surfaces associated with CP^(N-1) sigma models

A. Grundland, I. Yurdusen, 2008 .

Surfaces Associated with Sigma Models

L. Šnobl, A. Grundland, 2006 .

Soliton surfaces and generalized symmetries of integrable systems

A. Grundland, D. Riglioni, S. Post, 2013, 1302.6887.

On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations

Paul Bracken, A. M. Grundland, P. Bracken, 2003 .

On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces

A. J. Hariton, A. Hariton, A. Grundland, 2015, 1502.02948.

Algebraic Aspects of the Supersymmetric Minimal Surface Equation

Alfred Michel Grundland, Alexander J. Hariton, A. J. Hariton, 2017, Symmetry.

Supersymmetric extension of the minimal surface equation

A. J. Hariton, A. Hariton, A. Grundland, 2017 .

Supersymmetric formulation of the minimal surface equation: algebraic aspects

A. J. Hariton, A. Hariton, A. Grundland, 2017, 1708.00382.

Supersymmetric versions of the equations of conformally parametrized surfaces

A. J. Hariton, A. Hariton, A. Grundland, 2014, 1504.08260.

Fermionic supersymmetric extension of the Gauss-Weingarten and Gauss-Codazzi equations

A. J. Hariton, A. Hariton, A. Grundland, 2014, 1412.4774.

Supersymmetric Version of the Euler System and Its Invariant Solutions

Alfred Michel Grundland, Alexander J. Hariton, A. J. Hariton, 2013, Symmetry.

Supersymmetric formulation of polytropic gas dynamics and its invariant solutions

A. J. Hariton, A. Hariton, A. Grundland, 2011, 1102.1181.

N=2 supersymmetric extension of a hydrodynamic system in Riemann invariants

A. Hariton, A. Grundland, 2008, 0809.2298.

Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions

A. Hariton, A. Grundland, 2008, 0801.3292.

A supersymmetric version of a Gaussian irrotational compressible fluid flow

A. J. Hariton, A. Hariton, A. Grundland, 2007, 0709.1290.

Invariant solutions of the supersymmetric sine-Gordon equation

A. J. Hariton, A. Hariton, L. Šnobl, 2008, 0812.3862.

Group invariant solutions to the Einstein equations with pure radiation fields

J. Tafel, A. Grundland, 1993 .

Riemann Double Waves, Darboux Method and the Painlevé Property

P. Vassiliou, A. Grundland, 1992 .

Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems

B. Huard, A. Grundland, 2010, 1005.4945.

On the existence of nonclassical symmetries of partial differential equations

J. Tafel, A. Grundland, 1995 .

Exact solutions of the multidimensional classical φ6‐field equations obtained by symmetry reduction

J. Tuszynski, P. Winternitz, A. Grundland, 1987 .

New classes of exact solutions of the 6 model in 3+1 dimensions

J. Tuszynski, P. Winternitz, A. Grundland, 1987 .

Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

Robert Conte, A. Michel Grundland, Micheline Musette, 1999 .

Recurrence relations and general solution of the exceptional Hermite equation

A. Grundland, I. Marquette, D. Latini, 2022, 2211.00327.

On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications

J. Lucas, A. Grundland, 2018, Differential Geometry and its Applications.

Nonclassical symmetry reduction and Riemann wave solutions

J. Tafel, A. Grundland, 1996 .

Symmetry breaking and bifurcating solutions in the classical complex phi6 field theory

J. Tuszynski, A. Grundland, 1987 .

A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation

R. Conte, M. Musette, A. Grundland, 2006, nlin/0604011.

Analytic aspects of exceptional Hermite polynomials and associated minimal surfaces

A. Grundland, V. Chalifour, 2020, 2004.09250.

Classical-quantum correspondence for shape-invariant systems

A. Grundland, D. Riglioni, 2014, 1405.0968.

Group theory and solutions of classical field theories with polynomial nonlinearities

P. Winternitz, A. Grundland, J. Tuszynski, 1993 .

Multivalued solutions of the φ4-field equations, transition to ergodicity and bifurcations

J. Tuszynski, A. Grundland, 1988 .

un 2 00 2 Weak Transversality and Partially Invariant Solutions

P. Tempesta, P. Winternitz, A. Grundland, 2002 .

Symmetry reduction for nonlinear relativistically invariant equations

P. Winternitz, J. Harnad, A. Grundland, 1984 .

Generalised Riemann Invariants

A. Grundland, 1986 .

Conformally parametrized surfaces associated with sigma models

W. Hereman, A. Grundland, I. Yurdusen, 2007, 0710.4366.

Simple waves and invariant solutions of quasilinear systems

A. Grundland, P. W. Doyle, 1996 .

Invariant solutions of the supersymmetric version of a two-phase fluid flow system

A. M. Grundland, A. J. Hariton, A. Hariton, 2021, Ricerche di Matematica.

Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions

B. Huard, R. Conte, A. Grundland, 2008, 0810.1905.

Rank-k solutions of hydrodynamic-type systems

B. Huard, A. Grundland, 2007 .

On Conditionally Invariant Solutions of Magnetohydrodynamic Equations. Multiple Waves.

P. Picard, A. Grundland, 2003, math-ph/0306005.

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

A. Grundland, L. Lalague, 1996 .

Lie subgroups of symmetry groups of fluid dynamics and magnetohydro-dynamics equations

A. Grundland, L. Lalague, 1995 .

LIE SUBGROUPS OF THE SYMMETRY GROUP OF THE EQUATIONS DESCRIBING A NONSTATIONARY AND ISENTROPIC FLOW : INVARIANT AND PARTIALLY INVARIANT SOLUTIONS

A. Grundland, L. Lalague, 1994 .

Soliton surfaces associated with generalized symmetries of integrable equations

A. Grundland, S. Post, A. Grundland, 2011, 1102.1874.

Surfaces immersed in su(N + 1) Lie algebras obtained from the CPN sigma models

W. Zakrzewski, A. Strasburger, A. Grundland, 2006 .

Soliton surfaces associated with sigma models: differential and algebraic aspects

A. Grundland, P. Goldstein, S. Post, 2012, 1207.1340.

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems

B. Huard, A. Grundland, 2005, math-ph/0511061.

Rank-k Solutions Described by Hyperbolic Systems

B. Huard, A. Grundland, 2005 .

A family of nonlinear Klein-Gordon equations and their solutions

E. Infeld, A. Grundland, 1992 .

A Lie systems approach to the Riccati hierarchy and partial differential equations

J. Lucas, A. Grundland, 2016, 1612.00256.

THE LAGRANGE-RIEMANN METHOD FOR INTEGRATION OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS

B. Lawruk, A. Grundland, 1991 .

A cohomological approach to immersed submanifolds via integrable systems

A. Grundland, J. de Lucas, 2018, Selecta Mathematica.

A cohomological approach to immersed submanifolds via integrable systems

J. Lucas, A. Grundland, 2017, Selecta Mathematica.

Analysis of ℂ P N − 1 $$\mathbb {C}P^{N-1}$$ Sigma Models via Soliton Surfaces

A. Grundland, P. Goldstein, 2019, Integrability, Supersymmetry and Coherent States.

Multi-Soliton Solutions of the Generalized Weierstrass System

P. Bracken, A. Grundland, 2000 .

Analysis of $CP^{N-1}$ sigma models via projective structure

A. Grundland, S. Post, 2010, 1010.2183.

On analytic descriptions of two-dimensional surfaces associated with the sigma model

A. Grundland, I. Yurdusen, 2009 .

$\mathbb{C}P^N$ sigma models via the $SU(2)$ coherent states approach

A. Strasburger, D. Dziewa-Dawidczyk, A. Grundland, 2017, 1701.06994.

Analysis of sigma models via projective structures

S Post, A M Grundland, A. Grundland, 2010 .

$\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach

A. Strasburger, D. Dziewa-Dawidczyk, A. Grundland, 2017 .

On the surfaces associated with ℂP N−1 models

A. Grundland, P. Goldstein, 2011 .

Geometrical aspects of the complex eikonal equations associated to the generalized Weierstrass representation

P. Bracken, A. Grundland, 2001 .

Solutions of the multidimensional Sine Gordon equation obtained by symmetry reduction

P. Winternitz, A. Grundland, J. Harnard, 1982 .

Symmetry Reduction for Nonlinear wave Equations in Riemannian and Pseudo-Riemannian Spaces

P. Winternitz, J. Harnad, A. Grundland, 1984 .

J un 1 99 5 On the solutions of the CP 1 model in ( 2 + 1 ) dimensions

W. Zakrzewski, A. Grundland, 2008 .

Multimode Solutions of First-Order Elliptic Quasilinear Systems

A. Grundland, V. Lamothe, 2014, Acta Applicandae Mathematicae.

Multimode solutions of first-order quasilinear systems obtained from Riemann invariants. Part I

A. Grundland, V. Lamothe, 2012, 1201.4799.

Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations

P. Winternitz, J. Harnad, A. Grundland, 1984 .

Structural equations of supermanifolds immersed in the superspace M(3|2)(c) with a prescribed curvature

A. Grundland, S. Bertrand, 2018, Journal of Physics A: Mathematical and Theoretical.

On immersion formulas for soliton surfaces

D. Levi, L. Martina, A. Grundland, 2016, 1603.07634.

Generalized symmetries of integrable equations and soliton surfaces

A. Grundland, S. Post, 2011 .

The structural equations of surfaces associated with CP^(N-1) sigma models on a Minkowski space

L. Šnobl, A. Grundland, 2004 .

N ov 2 00 4 Description of surfaces associated with C P N − 1 sigma models on Minkowski space

L. Šnobl, A. Grundland, 2004 .

On a discrete version of the 𝒞P 1 sigma model and surfaces immersed in ℝ3

D. Levi, L. Martina, A. Grundland, 2003 .

$$\mathbb {C}P^{2S}$$ Sigma Models Described Through Hypergeometric Orthogonal Polynomials

N. Crampé, A. Grundland, 2019, Annales Henri Poincaré.

Conformal Immersions for Cmc-Surfaces with the same Gauss Map

W. Zakrzewski, A. Grundland, 2003 .

On certain geometric aspects of CPN harmonic maps

W. Zakrzewski, A. Grundland, 2003 .

Minimal surfaces associated with orthogonal polynomials

A. Grundland, Vincent Chalifour, 2019, Journal of Nonlinear Mathematical Physics.

Description of surfaces associated with Grassmannian sigma models on Minkowski space

L. Šnobl, A. Grundland, 2005, math/0501200.