C. Lustri

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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 $q$ -Stokes phenomena for $q$ -Painlevé I

Nalini Joshi, Christopher Lustri, Steven Luu

We consider the asymptotic behaviour of solutions of the first $q$ -difference Painlevé equation in the limits $∣ q ∣ \to 1$ and $n \to \infty$ . Using asymptotic power se…

Generalized Solitary Waves in a Finite-Difference Korteweg-de Vries Equation

Nonlinear q-Stokes phenomena for q-Painlevé I

Nonlinear $q$ -Stokes phenomena for $q$ -Painlevé I