Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Nalini Joshi"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
We study dynamics of solutions in the initial value space of the sixth Painlevé equation as the independent variable approaches zero. Our main results describe the repeller set, show that the number of poles and zeroes of general solutions is unboun
Externí odkaz:
https://doaj.org/article/11f316e1dc194ad6a965b9154d023614
Autor:
Nalini Joshi, Pieter Roffelsen
The Painlev\'e equations possess transcendental solutions $y(t)$ with special initial values that are symmetric under rotation or reflection in the complex $t$-plane. They correspond to monodromy problems that are explicitly solvable in terms of clas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f5b495607f48611d235b52fd8843f2d
http://arxiv.org/abs/2212.11513
http://arxiv.org/abs/2212.11513
Autor:
Nobutaka Nakazono, Nalini Joshi
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 8:320-335
In this paper, we consider a reduction of a new system of partial difference equations, which was obtained in our previous paper (Joshi and Nakazono, arXiv:1906.06650) and shown to be consistent around a cuboctahedron. We show that this system reduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8de504e4274bbce554037b5cda0d8b3a
https://doi.org/10.1090/bproc/96
https://doi.org/10.1090/bproc/96
Autor:
Nobutaka Nakazono, Nalini Joshi
Publikováno v:
Studies in Applied Mathematics. 147:1409-1424
Hirota's discrete Korteweg-de Vries equation (dKdV) is an integrable partial difference equation on 2-dimensional integer lattice, which approaches the Korteweg-de Vries equation in a continuum limit. We find new transformations to other equations, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::477c149d06f4562e0e8906b990142748
https://doi.org/10.1111/sapm.12421
https://doi.org/10.1111/sapm.12421
Autor:
Pieter Roffelsen, Nalini Joshi
Publikováno v:
Communications in Mathematical Physics. 384:549-585
A Riemann-Hilbert problem for a q-difference Painleve equation, known as $$q{\text {P}}_{{\text {IV}}}$$ , is shown to be solvable. This yields a bijective correspondence between the transcendental solutions of $$q{\text {P}}_{{\text {IV}}}$$ and cor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66e54b95e68b11d8617f02c77ec6c394
https://doi.org/10.1007/s00220-021-04024-y
https://doi.org/10.1007/s00220-021-04024-y
Autor:
Joshua Holroyd, Nalini Joshi
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 56:014002
We consider a perturbed version of the second Painlevé equation ( P II ), which arises in applications, and show that it possesses solutions analogous to the celebrated Hastings–McLeod and tritronquée solutions of P II . The Hastings–McLeod-typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90a44d5c55e8252dc74a8e401b72b43f
https://doi.org/10.1088/1751-8121/acb115
https://doi.org/10.1088/1751-8121/acb115
Autor:
Nalini Joshi, Tomas Lasic Latimer
We give an explicit solution of a q-Riemann Hilbert problem which arises in the theory of orthogonal polynomials, prove that it is unique, and deduce several properties. Our new results include the asymptotic behaviour of zeroes in the limit as the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ccc91dd6a221277f2d5005e15fa3cda
http://arxiv.org/abs/2106.01042
http://arxiv.org/abs/2106.01042
Autor:
Milena Radnović, Nalini Joshi
Publikováno v:
Transactions of the American Mathematical Society. 372:6507-6546
We study the asymptotic behavior of solutions of the fourth Painleve equation as the independent variable goes to infinity in its space of (complex) initial values, which is a generalization of phase space described by Okamoto. We show that the limit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8c40054725c2b4a2e4c8c714325ee47
https://doi.org/10.1090/tran/7899
https://doi.org/10.1090/tran/7899
Autor:
Nalini Joshi, Christopher J. Lustri
Publikováno v:
Studies in Applied Mathematics. 142:359-384
Generalized solitary waves with exponentially small non-decaying far field oscillations have been studied in a range of singularly-perturbed differential equations, including higher-order Korteweg-de Vries (KdV) equations. Many of these studies used
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ded45da86a3b3fb39abd28720043310
https://doi.org/10.1111/sapm.12252
https://doi.org/10.1111/sapm.12252
Autor:
Nalini Joshi, Pavlos Kassotakis
Publikováno v:
Journal of Computational Dynamics. 6:325-343
A QRT map is the composition of two involutions on a biquadratic curve: one switching the \begin{document}$ x $\end{document} -coordinates of two intersection points with a given horizontal line, and the other switching the \begin{document}$ y $\end{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0ec09a07f20440e8586738887653799
https://doi.org/10.3934/jcd.2019016
https://doi.org/10.3934/jcd.2019016