2 papers
math-ph2018
Generalized Solitary Waves in a Finite-Difference Korteweg-de Vries Equation
Nalini Joshi, Christopher J. Lustri
Generalized solitary waves with exponentially small non-decaying far field oscillations have been studied in a range of singularly-perturbed differential equations, including highe…
math-ph2018
Nonlinear -Stokes phenomena for -Painlevé I
Nalini Joshi, Christopher Lustri, Steven Luu
We consider the asymptotic behaviour of solutions of the first -difference Painlevé equation in the limits and . Using asymptotic power se…