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math.SP2026
Hadamard-type formulas for real eigenvalues of canonically symplectic operators
Mitchell Curran, Selim Sukhtaiev
We give first-order asymptotic expansions for the resolvent and Hadamard-type formulas for the eigenvalue curves of one-parameter families of canonically symplectic operators. We a…
math.SP2025
Detecting eigenvalues in a fourth-order nonlinear Schrödinger equation with a non-regular Maslov box
Mitchell Curran, Robert Marangell
We use the Maslov index to study the eigenvalue problem arising from the linearisation about solitons in the fourth-order cubic nonlinear Schrödinger equation (NLSE). Our analysis…