Second Order Gauge-Transformed Exponential Integrators for gKdV Equations with Rough Data: Convergence and Application

Key Points

• The study highlights the convergence of second order gauge-transformed exponential integrators in gKdV equations.
• Key evidence includes a demonstrated convergence rate of O(h^2) for the proposed integrators across tests.
• Analysis focused on the implementation and efficacy of these integrators using rough initial data sets.
• The findings suggest potential improvements in computational methods for analyzing complex nonlinear systems.