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  • Author=Joshi N
1. Joshi N, Ormerod C. The general theory of linear difference equations over the invertible max-plus algebra, (2005), preprint
2. Ramani A, Joshi N, Grammaticos B, Tamizhmani T. Deconstructing an integrable lattice, (2006), preprint
3. Joshi N, Kitaev AV, Treharne PA. 3×3 Lax pairs for the fourth, fifth and sixth Painlevé equations, (2007), preprint
4. Joshi N, Morrison T. New Exact Solutions of Spatially and Temporally Varying Reaction-Diffusion Equations, (2008), preprint
5. Joshi N, Kitaev AV, Treharne PA. On the linearization of the first and second Painlevé equations, (2008), preprint
6. Joshi N. Direct 'delay' reductions of the Toda equation, Journal of Physics A: Mathematical and Theoretical, 42 (2009), 022001–022009.
7. Joshi N, Morrison T. Existence and uniqueness of Tronquée solutions of the fourth-order Jimbo-Miwa second Painlevé equation, Proceedings of the American Mathematical Society, 137 (2009), no. 6, 2005–2014. MR2480282
8. Joshi N, Lafortune S, Ramani A. Hirota bilinear formalism and ultra-discrete singularity analysis, Nonlinearity, 22 (2009), 871–887. MR2486361
9. Joshi N, Spicer P. Direct "Delay" Reductions of the Toda Hierarchy, Journal of the Physical Society of Japan, 78 (2009), no. 9, 094006–1 to 094006–5.
10. Joshi N, Kitaev AV, Treharne PA. On the linearization of the first and second Painlev´e equations, Journal of Physics A: Mathematical and Theoretical, 42 (2009), 055208.
11. Field CM, Joshi N, Nijhoff FW. q-difference equations of KdV type and Chazy-type second-degree difference equations, Journal of Physics A: Mathematical and Theoretical, 41 (2008), no. 33, 13 pages.
12. Joshi N, Morrison T. New Exact Solutions of Spatially and Temporally Varying Reaction-Diffusion Equations, Analysis and Applications, 6 (2008), no. 4, 371 – 381. MR2459116
13. Hay M, Hietarinta J, Joshi N, Nijhoff F. A Lax pair for a lattice modified KdV equation, reductions to q-Painlevé equations and associated Lax pairs, Journal of Physics A: Mathematical and Theoretical, 40 (2007), no. 2, F61–F73. MR2303490
14. Joshi N, Ormerod C. The general theory of linear difference equations over the max-plus semiring, Studies in Applied Mathematics, 118 (2007), 85–97. MR2283569
15. Clarkson PA, Joshi N, Mazzocco M. The Lax Pair for the MKDV Hierarchy, Th'eories asymptotics et equations de Painlev'e, Seminaires et Congres, Societe Mathematique de France, France, (2007), 53–64. ISBN 978-2-85629-229-7
16. Miura RM, Ablowitz MJ, Costin O, Joshi N, Kulsrud R, Zabusky NJ. Obituaries: Martin David Kruskal, SIAM News, 40 (2007), no. 3,
17. Joshi N, Kitaev AV, Treharne PA. On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system, Journal of Mathematical Physics, 48 (2007), no. 10, 103512 (42pp).
18. Joshi N, Lafortune S. Integrable ultra-discrete equations and singularity analysis, Nonlinearity, 19 (2006), 1295–1312. MR2230000
19. Ramani A, Joshi N, Grammaticos B, Tamizhmani T. Deconstructing an integrable lattice equation, Journal of Physics. A, 39 (2006), no. 8, L145–L149. MR2209299
20. Gordoa PR, Joshi N, Pickering A. Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems, Journal of Mathematical Physics, 47 (2006), 073504. MR2250304
21. Joshi N, Grammaticos B, Tamizhmani T, Ramani A. From integrable lattices to Non-QRT mappings, Letters in Mathematical Physics, 78 (2006), no. 1, 27–37. MR2271126
22. Joshi N. Painlevé Equations, Encyclopaedia of Mathematical Physics, 4 (2006), 1–5.
23. Joshi N, Kajiwara K, Mazzocco M. Generating function associated with the Hankel determinant formula for the solutions of the Painlevé IV equation, Funkcialaj Ekvacioj, 49 (2006), 451–468. MR2297948
24. Joshi N, Pickering A. Generalized Halphen systems, Proceedings of the Royal Society of Edinburgh, 136A (2006), 1287–1301. MR2290134
25. Joshi N. Solitons, Encyclopedia of Nonlinear Science, 1 (2005), 849–852.
26. Joshi N. Asymptotics for extended cellular automata, Recent trends in exponential asymptotics, Recent Trends in Exponential Asymptotics, Yoshitsugu Takei (ed.), RIMS Kokyuroku Series, Research Institute for Mathematical Sciences, Kyoto, Japan, (2005), 156–159.
27. Joshi N, Lafortune S. How to detect integrability in cellular automata, Journal of Physics. A. Mathematical and General, 38 (2005), L499–L504. MR2166619
28. Joshi N, Kitaev AV. The Dirichlet boundary value problem for real solutions of the first Painlevé equation on segments in non-positive semi-axis, Journal für die Reine und Angewandte Mathematik, 583 (2005), 29–86. MR2146852
29. Gordoa PR, Joshi N, Pickering A. Bäcklund transformations for fourth Painlevé hierarchies, Journal of Differential Equations, 217 (2005), 124–153. MR2170530
30. Joshi N. The second Painlevé hierarchy and the stationary KdV hierarchy, Publications of the Research Institute for Mathematical Sciences, 40 (2004), 1039–1061. MR2074710
31. Joshi N, Nijhoff FW, Ormerod C. Lax pairs for ultra-discrete Painlevé cellular automata, Journal of Physics. A. Mathematical and General, 37 (2004), L559–L565. MR2098040
32. Kruskal MD, Joshi N, Halburd RG. Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property, Integrability of Nonlinear Systems, Lecture Notes in Physics, Springer/Verlag, Berlin, Heidelberg, (2004), 175–208. ISBN 3-540-20630-2
33. Joshi N, Kajiwara K, Mazzocco M. Generating function associated with the determinant formula for the solutions of the Painlevé II equation, Astérisque, 297 (2004), 67–78. MR2135675
34. Joshi N, Mazzocco M. Existence and uniqueness of tri-tronquée solutions of the second Painlevé hierarchy, Nonlinearity, 16 (2003), 427–439. 2004a:34172
35. Maruno KI, Ohta Y, Joshi N. Exact localized solutions of quintic discrete nonlinear Schrödinger equation, Physics Letters. A, 311 (2003), 214–220. 2004f:39047
36. Joshi N. Hunting Mathematical Butterflies, Nonlinear Dynamics, From Lasers to Butterflies, World Scientific Lecture Notes in Complex Systems, 1 World Scientific, Singapore, (2003), 77–114. ISBN 981-238-320-4 MR2014643
37. Gordoa PR, Joshi N, Pickering A. A new technique in nonlinear singularity analysis, Publications of the Research Institute for Mathematical Sciences, 39 (2003), 435–449. MR2001184
38. Joshi N. Tritronquée solutions of perturbed first Painlevé equations, Theoretical and Mathematical Physics, 137 (2003), 1515–1519. MR2057895
39. Clarkson PA, Hone ANW, Joshi N. Hierarchies of difference equations and Bäcklund transformations, Journal of Nonlinear Mathematical Physics, 10 (2003), 13–26. MR2062265
40. Joshi N. Review of "Geometric Approaches to Differential Equations", SIAM Review, 44 (2002), 148–150.
41. Cresswell C, Joshi N. Consistent composition of Bäcklund transformations produces confined maps, Letters in Mathematical Physics, 61 (2002), no. 1, 1–14. 2004a:39029
42. Hone ANW, Joshi N, Kitaev AV. An entire function defined by a nonlinear recurrence relation, Journal of the London Mathematical Society, 66 (2002), 377–387. 2003g:30045
43. Joshi N. Kruskal 2000, Papers from the International Conference on Integrable Systems held in celebration of the 75th birthday of Martin David Kruskal, Kruskal 2000, Australian Mathematical Society, Canberra, (2002), 1–180. MR1919919
44. Joshi N, Kitaev AV. On Boutroux's tritronquée solutions of the first Painlevé equation, Studies in Applied Mathematics, 107 (2001), 253–291. 2002g:34202
45. Joshi N. Regularizing the KdV equation near a blow-up surface, Theoretical and Mathematical Physics, 127 (2001), 744–750. 2002h:35267
46. Gordoa PR, Joshi N, Pickering A. Mappings preserving locations of movable poles II: the third and fifth Painlevé equations, Nonlinearity, 14 (2001), 567–582. 2002b:34134
47. Gordoa PR, Joshi N, Pickering A. Truncation-type methods and Bäcklund transformations for ordinary differential equations: the third and fifth Painlevé equations, Glasgow Mathematical Journal, 43A (2001), 23–32. 2002h:34189
48. Gordoa PR, Joshi N, Pickering A. On a generalized 2+1 dispersive water wave hierarchy, Publications of the Research Institute for Mathematical Sciences, 37 (2001), 327–347. MR1855426
49. Gordoa PR, Joshi N, Pickering A. On a generalized 2+1 dispersive water wave hierarchy, Publications of the Research Institute for Mathematical Sciences, 37 (2001), 327–347.
50. Nijhoff F, Hone A, Joshi N. On a Schwarzian PDE associated with the KdV hierarchy, Physics Letters. A, 267 (2000), 147–156. 2001m:37143
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