The Semi-Analytic Theory of Standing Waves, Proc. Roy. Soc. Lond. A 411, pp.123-138, 1987. ,
DOI : 10.1098/rspa.1987.0057
Families of Periodic Solutions of Resonant PDEs, Journal of Nonlinear Science, vol.11, issue.1, pp.69-87, 2001. ,
DOI : 10.1007/s003320010010
Hamiltonian structure, symmetries and conservation laws for water waves, Journal of Fluid Mechanics, vol.32, issue.-1, pp.137-187, 1982. ,
DOI : 10.1017/S0022112077001116
Periodic Solutions of Nonlinear Wave Equations with General Nonlinearities, Communications in Mathematical Physics, vol.243, issue.2, pp.315-328, 2003. ,
DOI : 10.1007/s00220-003-0972-8
Essai sur la théorie des eaux courantes, Mémoires présentés par divers savantsàsavantsà l'Académie des Sciences, pp.1-660, 1877. ,
Periodic solutions of nonlinear vibrating strings and duality principles, Bulletin of the American Mathematical Society, vol.8, issue.3, pp.409-426, 1983. ,
DOI : 10.1090/S0273-0979-1983-15105-4
Newton's method and periodic solutions of nonlinear wave equations, Communications on Pure and Applied Mathematics, vol.20, issue.11, pp.1409-1498, 1993. ,
DOI : 10.1002/cpa.3160461102
THE ORIGINS OF WATER WAVE THEORY, Annual Review of Fluid Mechanics, vol.36, issue.1, pp.1-28, 2004. ,
DOI : 10.1146/annurev.fluid.36.050802.122118
Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Physics Letters A, vol.221, issue.1-2, pp.73-79, 1996. ,
DOI : 10.1016/0375-9601(96)00417-3
The boundary problems of physical geodesy, Arch. Rational Mech. Anal, vol.62, pp.1-52, 1976. ,
The semi-analytic theory of standing waves, for several dominant modes, Proc. Roy. Soc. Lond. A455, pp.3513-3526, 1999. ,
Standing waves on infinite depth, Comptes Rendus Mathematique, vol.338, issue.5, pp.425-431, 2004. ,
DOI : 10.1016/j.crma.2004.01.002
URL : https://hal.archives-ouvertes.fr/hal-00014716
Riemann-Hilbert and variational structure for standing waves ,
URL : https://hal.archives-ouvertes.fr/hal-00021613
Perturbation Theory for Linear Operators, 1966. ,
Multiple Integrals in the Calculus of Variations, 1966. ,
DOI : 10.1007/978-3-540-69952-1
A rapidly convergent iteration method and non-linear partial differential equations I & II, Ann. Scuola Norm. Sup. Pisa, Sci. Fiz. Mat., III. Ser, vol.20, pp.265-315, 1966. ,
Standing gravity waves of large amplitude in deep water, Wave Motion, vol.37, issue.2, pp.17-182, 2003. ,
DOI : 10.1016/S0165-2125(02)00055-0
Part II. Finite Periodic Stationary Gravity Waves in a Perfect Liquid, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.244, issue.882, pp.254-284, 1952. ,
DOI : 10.1098/rsta.1952.0004
Nash-Moser Theory for Standing Water Waves, Archive for Rational Mechanics and Analysis, vol.159, issue.1, pp.1-83, 2001. ,
DOI : 10.1007/PL00004246
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.6337
Mémoire sur la théorie des ondes (1816), Mém. Acad. R. Sci. Inst. France, 2nd Series, vol.1, pp.70-186, 1818. ,
Suite des recherches sur plusieurs points du système du monde. (XXV-XXVII). Mém. présentés par divers savantsàsavantsà l, Acad. des Sciences ,
Free vibrations for a semilinear wave equation, Communications on Pure and Applied Mathematics, vol.13, issue.3, pp.31-68, 1978. ,
DOI : 10.1002/cpa.3160310103
Deep Water Waves, Progressive or Stationary, to the Third Order of Approximation, Proc. R. Soc. London A 91, pp.345-353, 1915. ,
DOI : 10.1098/rspa.1915.0025
A semi-analytic solution for nonlinear standing waves in deep water, Journal of Fluid Mechanics, vol.91, issue.-1, pp.147-171, 1981. ,
DOI : 10.1017/S0022112062000622
On the Theory of Oscillatory Waves, Trans. Camb. Phil. Soc, vol.8, pp.441-455, 1847. ,
DOI : 10.1017/CBO9780511702242.013
Standing surface waves of finite amplitude, Journal of Fluid Mechanics, vol.244, issue.03, pp.442-451, 1960. ,
DOI : 10.1017/S0022112060000724
An Experimental Study of Standing Waves, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.218, issue.1132, pp.44-59, 1953. ,
DOI : 10.1098/rspa.1953.0086
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Communications in Mathematical Physics, vol.21, issue.3, pp.479-528, 1990. ,
DOI : 10.1007/BF02104499
Free-surface flows, in Research Frontiers in Fluid Dynamics, 1965. ,
Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.190-194, 1968. ,
DOI : 10.1007/BF00913182
Trigonometric Series I & II, 1959. ,