N. Joshi

activity

19972005

most citedGenerating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation

18 citations · 20 across the 3 of their papers we have counts for

collaborators

Showing solv-intShow all

3 papers · 1 filter

solv-int1999

Nonexistence results for the Korteweg-deVries and Kadomtsev-Petviashvili equations

Nalini Joshi, Johannes A. Petersen, Luke M. Schubert

We study characteristic Cauchy problems for the Korteweg-deVries (KdV) equation $u_{t} = u u_{x} + u_{xxx}$ , and the Kadomtsev-Petviashvili (KP) equation $u_{yy}=\bigl(u_{xxx}+uu_x+u_t\bigr…

solv-int1997

The Second Painlevé Equation in the Large-Parameter Limit I: Local Asymptotic Analysis

Nalini Joshi

In this paper, we find all possible asymptotic behaviours of the solutions of the second Painlevé equation $y^{''} = 2 y^{3} + x y + α$ as the parameter $α \to \infty$ in the local region $x\llα…

solv-int1997

The Discrete Painlevé I Hierarchy

Clio Cresswell, Nalini Joshi

The discrete Painlevé I equation (dP $_{I}$ ) is an integrable difference equation which has the classical first Painlevé equation (P $_{I}$ ) as a continuum limit. dP $_{I}$ is beli…