Abstract: Using the Lyapunov method, we find analytically the equations of wave surface of capillary waves in fluid of infinite depth and compare them to the solution, obtained by Crapper. We prove analytically the stability of Crapper waves with respect to symmetric and non-symmetric disturbances.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Alexander Petrov, Mariana Lopushanski, "Analytical Study of Finite Amplitude Capillary Waves Stability," WSEAS Transactions on Fluid Mechanics, vol. 11, pp. 127-133, 2016, DOI:
Alexander Petrov, Mariana Lopushanski. Analytical Study of Finite Amplitude Capillary Waves Stability.
WSEAS Transactions on Fluid Mechanics. 2016;11:127-133.