, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1972.
DOI : 10.1119/1.1972842
, The Onset of Turbulence in Pipe Flow, Science, vol.333, issue.6039, pp.192-196, 2011.
DOI : 10.1126/science.1203223
, Model equations for long waves in nonlinear dispersive systemsLong non-linear waves in fluid flowsAn integrable shallow water equation with peaked solitons, Philos. Trans. Royal Soc. London Ser. A J. Math. Phys. Phys. Rev. Lett, vol.272, issue.3 4, pp.47-7852, 1966.
, The Camassa-Holm equations and turbulence in pipes and channels'. Phys, pp.49-65, 1999.
, The evolution of resonant water-wave oscillations, Journal of Fluid Mechanics, vol.12, issue.-1, pp.99-116, 1986.
DOI : 10.1016/0165-2125(85)90016-2
, Periodic orbit expansions for classical smooth flows, Journal of Physics A: Mathematical and General, vol.24, issue.5, pp.237-241, 1991.
DOI : 10.1088/0305-4470/24/5/005
, Invariant manifolds associated to nonresonant spectral subspaces, Journal of Statistical Physics, vol.30, issue.1-2, pp.211-249, 1997.
DOI : 10.1007/BF02181486
, Navier-Stokes-alpha model: LES equations with nonlinear dispersion, Modern Simulation Strategies for Turbulent Flow, pp.107-122, 2001.
, An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion, Physical Review Letters, vol.87, issue.19, 2001.
DOI : 10.1103/PhysRevLett.87.194501
, Camassa???Holm, Korteweg???de Vries-5 and other asymptotically equivalent equations for shallow water waves, Fluid Dynamics Research, vol.33, issue.1-2, pp.73-95, 2003.
DOI : 10.1016/S0169-5983(03)00046-7
, On asymptotically equivalent shallow water wave equations, Physica D: Nonlinear Phenomena, vol.190, issue.1-2, pp.1-14, 2004.
DOI : 10.1016/j.physd.2003.11.004
, Dissipative anomalies in singular Euler flows'. PhysTravelling waves in axisymmetric pipe flows, Fedele Fluid Dynamics Research, vol.237, issue.2, pp.14-171956, 2008.
, Hamiltonian form and solitary waves of the spatial Dysthe equations, JETP Letters, vol.94, issue.12, 2011.
DOI : 10.1134/S0021364011240039
URL : https://hal.archives-ouvertes.fr/hal-00633389
, Special solutions to a compact equation for deep-water gravity waves, Journal of Fluid Mechanics, vol.2, issue.8, p.15, 2012.
DOI : 10.1016/0375-9601(96)00394-5
URL : https://hal.archives-ouvertes.fr/hal-00687325
, Vortexons in axisymmetric Poiseuille pipe flows, EPL (Europhysics Letters), vol.101, issue.3, pp.34003-34012, 2013.
DOI : 10.1209/0295-5075/101/34003
URL : https://hal.archives-ouvertes.fr/hal-00756531
, Revisiting the stability of pulsatile pipe flow, European Journal of Mechanics - B/Fluids, vol.24, issue.2, pp.237-254, 1995.
DOI : 10.1016/j.euromechflu.2004.07.005
, Kelvin Fronts on the Equatorial Thermocline, Journal of Physical Oceanography, vol.30, issue.7, pp.1692-1705, 2000.
DOI : 10.1175/1520-0485(2000)030<1692:KFOTET>2.0.CO;2
, The Navier???Stokes-alpha model of fluid turbulence, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.505-519, 2001.
DOI : 10.1016/S0167-2789(01)00191-9
, The Three Dimensional Viscous Camassa-Holm Equations, and Their Relation to the Navier-Stokes Equations and Turbulence Theory, Journal of Dynamics and Differential Equations, vol.14, issue.1, pp.1-35, 2002.
DOI : 10.1023/A:1012984210582
, Visualizing the geometry of state space in plane Couette flow, Journal of Fluid Mechanics, vol.301, pp.107-130, 2008.
DOI : 10.1103/PhysRevLett.79.5250
, Periodic and Chaotic Behaviour in a Reduction of the Perturbed Korteweg-De Vries Equation, Proc. R. Soc. Lond. A 445, pp.1-21, 1923.
DOI : 10.1098/rspa.1994.0045
, Scaling of the Turbulence Transition Threshold in a Pipe, Physical Review Letters, vol.91, issue.24, pp.91244502-91244504, 2003.
DOI : 10.1103/PhysRevLett.91.244502
, Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances, Journal of Fluid Mechanics, vol.17, issue.03, pp.469-479, 1977.
DOI : 10.1063/1.1692122
, A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity, Journal of Computational Physics, vol.226, issue.2, pp.1668-1692, 2007.
DOI : 10.1016/j.jcp.2007.06.009
, Turbulent dynamics of pipe flow captured in a reduced model: puff relaminarization and localized ???edge??? states, Journal of Fluid Mechanics, vol.6, issue.2, pp.213-233, 2009.
DOI : 10.1017/S002211200600454X
, On transition in a pipe. Part 2. The equilibrium puff, Journal of Fluid Mechanics, vol.none, issue.02, pp.283-304, 1975.
DOI : 10.1017/S0022112075001449
, On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug, Journal of Fluid Mechanics, vol.26, issue.02, pp.281-335, 1973.
DOI : 10.1143/JPSJ.7.489