Maximal Amplitudes of Hyperelliptic Solutions of the Derivative Nonlinear Schrödinger Equation
Studies in Applied Mathematics
A simple formula is proven for an upper bound for amplitudes of hyperelliptic (finite‐gap or N‐phase) solutions of the derivative nonlinear Schrödinger equation. The upper bound is sharp, viz, it is attained for some initial conditions. The method used to prove the upper bound is the same method, with necessary modifications, used to prove the corresponding bound for solutions of the focusing NLS equation.
Derivative NLS equation, hyperelliptic solutions, maximal amplitudes, upper bound
Wright, Otis C. III, "Maximal Amplitudes of Hyperelliptic Solutions of the Derivative Nonlinear Schrödinger Equation" (2020). Science and Mathematics Faculty Publications. 404.