Nalini Joshi

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Nalini Joshi is affiliated with the following schools: University of New South Wales, University of Sydney, Princeton University, University of Adelaide, Australian National University

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Nalini Joshi

Mathematics

#1594

World Rank

#2585

Historical Rank

Applied Mathematics

#47

World Rank

#55

Historical Rank

Mathematical Physics

#62

World Rank

#74

Historical Rank

Measure Theory

#3563

World Rank

#4204

Historical Rank

mathematics Degrees

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Mathematics

Why Is Nalini Joshi Influential?

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According to Wikipedia, Nalini Joshi is an Australian mathematician. She is a professor in the School of Mathematics and Statistics at the University of Sydney, the first woman in the School to hold this position, and is a past-president of the Australian Mathematical Society. Joshi is a member of the School's Applied Mathematics Research Group. Her research concerns integrable systems. She was awarded the Georgina Sweet Australian Laureate Fellowship in 2012. Joshi is also the Vice-President of the International Mathematical Union, and is the first Australian to hold this position.

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Nalini Joshi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Discrete Systems and Integrability (2016) (147)
Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach (1998) (120)
Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg-De Vries Equation (1995) (114)
Painlevé property of general variable-coefficient versions of the Korteweg-de Vries and non-linear Schrödinger equations (1987) (98)
On Boutroux's Tritronquée Solutions of the First Painlevé Equation (2001) (90)
On a Generalized 2+1 Dispersive Water Wave Hierarchy (2001) (73)
An asymptotic approach to the connection problem for the first and the second painlevé equations (1988) (65)
On a Schwarzian PDE associated with the KdV hierarchy (1999) (53)
Analytic and asymptotic methods for nonlinear singularity analysis: a review and extensions of tests for the Painlevé property (1997) (50)
A direct proof that solutions of the six Painlevé equations have no movable singularities except poles (1994) (48)
The Painlevé Connection Problem: An Asymptotic Approach. I (1992) (47)
Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem (1992) (47)
The discrete first, second and thirty-fourth Painlevé hierarchies (1999) (45)
Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems (2006) (43)
On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system (2007) (38)
The Second Painlevé Hierarchy and the Stationary KdV Hierarchy (2004) (38)
THE LAX PAIR FOR THE MKDV HIERARCHY (2006) (38)
A Lax pair for a lattice modified KdV equation, reductions to q-Painlevé equations and associated Lax pairs (2007) (34)
Professional development for teaching in higher education (2011) (33)
The Existence of Lie Symmetries for First-Order Analytic Discrete Dynamical Systems (1995) (32)
Existence and uniqueness of tri-tronquée solutions of the second Painlevé hierarchy (2002) (32)
q-difference equations of KdV type and Chazy-type second-degree difference equations (2008) (32)
Generating function associated with the determinant formula for the solutions of the Painlevé II equation (2004) (32)
Deconstructing an integrable lattice equation (2006) (31)
How to detect integrability in cellular automata (2005) (28)
From Integrable Lattices to Non-QRT Mappings (2006) (27)
Bäcklund transformations for fourth Painlevé hierarchies (2005) (26)
An inverse scattering transform for the lattice potential KdV equation (2010) (25)
Mappings preserving locations of movable poles: II. The third and fifth Painlevé equations (2001) (25)
Lax pairs for ultra-discrete Painlevé cellular automata (2004) (24)
Okamoto’s Space for the First Painlevé Equation in Boutroux Coordinates (2010) (23)
Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equations (1999) (23)
On the linearization of the first and second Painlevé equations (2008) (22)
A BILINEAR APPROACH TO DISCRETE MIURA TRANSFORMATIONS (1998) (22)
Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation (2005) (19)
Stokes phenomena in discrete Painlevé I (2015) (17)
On the discrete and continuous Miura chain associated with the sixth Painlevé equation (1999) (17)
A method of proving the convergence of the Painleve expansions of partial differential equations (1994) (17)
Connection Results for the First Painlevé Equation (1992) (16)
Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases (2014) (16)
Proceedings of the Centre for Mathematical Analysis Australian National University Miniconference on CHAOS & ORDER (1991) (14)
Integrable ultra-discrete equations and singularity analysis (2006) (14)
Exact localized solutions of quintic discrete nonlinear Schrödinger equation (2002) (14)
Geometric reductions of ABS equations on an n-cube to discrete Painlevé systems (2014) (14)
Lax pairs of discrete Painlevé equations: (A2+A1)(1) case (2015) (13)
Global Asymptotics of the Second Painlevé Equation in Okamoto’s Space (2012) (13)
Complexity and Integrability in 4D Bi-rational Maps with Two Invariants (2018) (12)
A Local Asymptotic Method of Seeing the Natural Barrier of the Solutions of the Chazy Equation (1993) (12)
Rational Maps with Invariant Surfaces (2017) (12)
A professional development framework for teaching in higher education (2010) (12)
The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg - de Vries equation (1996) (12)
Geometry of an elliptic difference equation related to Q4 (2015) (11)
Hierarchies of Difference Equations and Bäcklund Transformations (2003) (11)
Lattice equations arising from discrete Painlevé systems: II. A 4 ( 1 ) case (2016) (11)
Quicksilver Solutions of a q‐Difference First Painlevé Equation (2013) (11)
Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem: I. Rational solutions (2011) (11)
Analytic solutions of q-P(A1) near its critical points (2015) (10)
Reflection groups and discrete integrable systems (2015) (9)
Generalized solitary waves in a finite‐difference Korteweg‐de Vries equation (2018) (9)
Stokes phenomena in discrete Painlevé II (2016) (9)
Integrable Non-QRT Mappings of the Plane (2009) (9)
A local asymptotic analysis of the discrete first Painleve equation as the discrete independent variable approaches infinity (1997) (9)
Exact solutions of a q-discrete second Painlevé equation from its iso-monodromy deformation problem. II. Hypergeometric solutions (2012) (9)
Direct ‘delay’ reductions of the Toda equation (2008) (9)
The Schwarzian variable associated with discrete KdV-type equations (2010) (8)
Singularity Analysis and Integrability for Discrete Dynamical Systems (1994) (8)
Asymptotic Behavior of the Fourth Painlevé Transcendents in the Space of Initial Values (2014) (8)
Singular-Boundary Reductions of Type-Q ABS Equations (2011) (8)
Bi-rational maps in four dimensions with two invariants (2019) (8)
The Second Painlevé Equation in the Large‐parameter Limit I: Local Asymptotic Analysis (1997) (8)
Symmetries and Integrability of Difference Equations: The discrete Painlevé I hierarchy (1999) (7)
Tritronquée Solutions of Perturbed First Painlevé Equations (2003) (7)
Integrable semi-discretization of the massive Thirring system in laboratory coordinates (2018) (7)
Truncation-type methods and Bäcklund transformations for ordinary differential equations: the third and fifth Painlevé equations (2000) (7)
Asymptotic Studies of the Painlevé Equations (1999) (6)
The General Theory of Linear Difference Equations over the Max‐Plus Semi‐Ring (2007) (6)
Nonexistence Results for the Korteweg–de Vries and Kadomtsev–Petviashvili Equations (1999) (6)
Singular dynamics of a q-difference Painlevé equation in its initial-value space (2014) (5)
Classification of quad-equations on a cuboctahedron. (2020) (5)
A New Technique in Nonlinear Singularity Analysis (2003) (5)
Constructing Initial Value Spaces of Lattice Equations (2018) (5)
Geometric description of a discrete power function associated with the sixth Painlevé equation (2017) (5)
Discrete Painlev 'e Equations (2019) (4)
On the Riemann-Hilbert Problem for a q-Difference Painlevé Equation (2021) (4)
Complex blow-up in Burgers' equation: an iterative approach (1996) (4)
Elliptic Painlevé equations from next-nearest-neighbor translations on the E8(1) lattice (2017) (4)
Asymptotic behaviours given by elliptic functions in PI–PV (2017) (4)
On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation (2021) (4)
Existence and uniqueness of Tronquée solutions of the fourth-order Jimbo-Miwa second Painlevé equation (2009) (4)
The Discrete Painlev\'e I Hierarchy (1997) (4)
Asymptotic Behavior of the Fourth Painlevé Transcendents in the Space of Initial Values (2016) (3)
NEW EXACT SOLUTIONS OF SPATIALLY AND TEMPORALLY VARYING REACTION-DIFFUSION EQUATIONS (2008) (3)
Direct "Delay" Reductions of the Toda Hierarchy (2009) (3)
Second-degree discrete Painlevé equations conceal first-degree ones (2010) (3)
One hundred years of PVI, the Fuchs–Painlevé equation (2006) (3)
Hirota bilinear formalism and ultra-discrete singularity analysis (2009) (3)
The general theory of linear difference equations over the invertible max-plus algebra (3)
Hierarchies of q-discrete Painlevé equations (2020) (3)
Consistent Composition of Bäcklund Transformations Produces Confined Maps (2002) (3)
Re-factorising a QRT map (2019) (3)
Generalized Halphen systems (2006) (2)
Discrete Painlevé Equations (2019) (2)
On Stokes Phenomena for the Alternate Discrete PI Equation (2017) (2)
A national discipline-specific professional development program for lecturers and tutors in the mathematical sciences (2011) (2)
Asymptotic behaviour of the third Painlevé transcendents in the space of initial values (2019) (2)
The Dirichlet boundary value problem for real solutions of the ﬁrst Painlevé equation on segments in non-positive semi-axis (2004) (2)
On a class of q-orthogonal polynomials and the q-Riemann–Hilbert problem (2021) (2)
Nonlinear q-Stokes phenomena for q-Painlevé I (2018) (2)
The connection problem for Painlevé transcedents (1986) (2)
B\"acklund transformations for fourth Painlev\'e hierarchies (2005) (2)
Reduction of quad-equations consistent around a cuboctahedron I: Additive case (2020) (2)
Irregular singular behaviour in the first discreet Painlev equation (2000) (2)
A Local Asymptotic Analysis of the First Discrete Painlev\'e Equation as the Discrete Independent Variable Approaches Infinity (1996) (1)
The Coalescence Limit of the Second Painlevé Equation (1996) (1)
Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables (2019) (1)
A review of elliptic difference Painlevé equations (2019) (1)
An explicit one-soliton solution of the (2+1)-dimensional generalized sine-gordon equations (1990) (1)
SPACE OF INITIAL VALUES OF A MAP WITH A QUARTIC INVARIANT (2020) (1)
Stokes phenomena in discrete (2015) (1)
On the monodromy manifold of $q$-Painlev\'e VI and its Riemann-Hilbert problem (2022) (1)
Direct asymptotic analysis of the second Painlevé equation: three different limits (1997) (1)
Knowledge-Based Network Diagnostics (1992) (1)
ABS equations arising from discrete Painlev\'e systems: $\omega$-lattice for the $(A_2+A_1)^{(1)}$ and $(A_1+A_1')^{(1)}$ cases (2014) (1)
Some determinantal identities (2016) (0)
Discrete equations from transformations of continuous equations (2016) (0)
Special issue: One hundred years of PVI, the Fuchs–Painlevé equation (2005) (0)
On the Riemann-Hilbert problem for a $q$-difference Painlev\'e equation (2019) (0)
2 Ju n 20 07 On the Linearization of the Painlevé Equations (2007) (0)
Consistency around a cuboctahedron (2019) (0)
On the perturbed second Painlevé equation (2022) (0)
Regularizing the KdV Equation near a Blow-Up Surface (2001) (0)
ABS equations arising from discrete Painlev\'e systems (I): $(A_2+A_1)^{(1)}$ and $(A_1+A_1')^{(1)}$ cases (2014) (0)
An Overview of Geometric Asymptotic Analysis of Continuous and Discrete Painlevé Equations (2013) (0)
On the Linearization of the Painleve' Equations (2007) (0)
THE RADIUS OF CONVERGENCE AND THE WELL-POSEDNESS OF THE PAINLEV ´ E EXPANSIONS OF THE KORTEWEG-DE-VRIES EQUATION Short Title: Well Posedness of Painlevexpansions (1996) (0)
Expert Systems in Network Diagnostics (1989) (0)
Integrability of P∆Es (2016) (0)
Miniconference on chaos & order : 1-3 February 1990, Canberra, Australia (1991) (0)
Discrete Power Functions on a Hexagonal Lattice I: Derivation from ABS Equations and Garnier System in two variables. (2020) (0)
Lagrangian multiform theory (2016) (0)
Pole distributions of rational special solutions of the Painlevé equations Symmetry Analysis (2016) (0)
Discrete dynamical systems with pole-type orbits (1993) (0)
Identifying integrable difference equations (2016) (0)
Interlude: Lattice equations and numerical algorithms (2016) (0)
Global Asymptotics of the Sixth Painlevé Equation in Okamoto’s Space (2022) (0)
Theta functions and elliptic functions (2016) (0)
3◊3 Lax pairs for the fourth, fifth and sixth Painleve equations (2007) (0)
ABS equations arising from discrete Painlev\'e systems: $\omega$-lattice for the $(A_2+A_1)^{(1)}$ case (2014) (0)
The continuous Painlevé equations and the Garnier system (2016) (0)
Elementary difference calculus and difference equations (2016) (0)
Asymptotics of Discrete $q$-Freud $\mathrm{II}$ orthogonal polynomials from the $q$-Riemann Hilbert Problem (2022) (0)
On symmetric solutions of the fourth q-Painlevé equation (2022) (0)
Computer Aided Network Performance Tuning (1991) (0)
One-dimensional lattices and maps (2016) (0)
Elliptic asymptotics in $q$-discrete Painlevé equations (2019) (0)
Lie symmetries and linearizations of analytic discrete dynamical systems (1996) (0)
Preface to Special Issue on the Geometry of the Painlevé equations (2013) (0)
Continuum limits of lattice P∆E (2016) (0)
Similarity reductions of integrable P∆Es (2016) (0)
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem (2021) (0)
Multi-soliton solutions and the Cauchy matrix scheme (2016) (0)
Hirota's bilinear method (2016) (0)
Hunting Mathematical Butterflies (2003) (0)
A Lax pair for the complete QRT mapping (2013) (0)
Discrete Power Functions on a Hexagonal Lattice I: Derivation from ABS Equations and Garnier Systems (2019) (0)
Introduction to difference equations (2016) (0)
Global Asymptotics of the Second Painlevé Equation in Okamoto’s Space (2013) (0)

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