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The connection problem for the first and second Painleve equations is the problem of relating the asymptotic behavior of a solution on a path of approach to infinity (in the complex plane of the… (More)

The second Painlev? hierarchy is defined as the hierarchy of ordinary differential equations obtained by similarity reduction from the modified Korteweg-de Vries hierarchy. Its first member is the… (More)

- Deepak Saxena, Nalini Joshi, S. Srivastava
- Current Microbiology
- 2002

The mechanism of copper resistance in a multiple-metal-resistant natural isolate Pseudomonas putida strain S4 is based on inducible efflux. Active extrusion of copper ions occurs from the cytoplasm… (More)

We present a new, nonautonomous Lax pair for a lattice nonautomous modified Korteweg–deVries equation and show that it can be consistently extended multidimensionally, a property commonly referred to… (More)

The relations between the different linear problems for Painleve equations is an intriguing open problem. Here we consider our previously given second and fourth Painleve hierarchies [Publ. Res.… (More)

In this paper we give an algorithmic method of deriving the Lax pair for the modified Korteweg-de Vries hierarchy. For each n, the compatibility condition gives the n-th member of the hierarchy,… (More)

The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions. In particular, there is… (More)

We show that for a given holomorphic noncharacteristic surface S in two-dimensional complex space, and a given holomorphic function on S, there exists a unique meromorphic solution of Burgers'… (More)

- Nalini Joshi, Kenji Kajiwara, Takatsugu Masuda, Nobutaka Nakazono, Yang Shi
- Proceedings. Mathematical, physical, and…
- 2017

In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called cross-ratio equation with a similarity… (More)