Establishes a rigorous two-way correspondence between continuous solitons in a 3D nonlinear Helmholtz system and solutions of a finite discrete nonlinear capacitance system via a perturbative cascade in powers of √δ.
XVI. On Musical Air-Bubbles and the Sounds of Running Water
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Perturbative Approach to Nonlinear Capacitance Matrix Formulations
Establishes a rigorous two-way correspondence between continuous solitons in a 3D nonlinear Helmholtz system and solutions of a finite discrete nonlinear capacitance system via a perturbative cascade in powers of √δ.