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pro vyhledávání: '"Conte, Robert"'
Autor:
Conte, Robert
We consider the six-dimensional dynamical system in three components introduced by Ryan to describe the scenario of Belinskii, Khalatnikov and Lifshitz to the cosmological singularity when the spatial metric tensor is not diagonal. Despite its nonint
Externí odkaz:
http://arxiv.org/abs/2308.15604
For both cubic and quintic nonlinearities of the one-dimensional complex Ginzburg-Landau evolution equation, we prove by a theorem of Eremenko the finiteness of the number of traveling waves whose squared modulus has only poles in the complex plane,
Externí odkaz:
http://arxiv.org/abs/2307.04220
The various r\'egimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, sinks. We provide here three exact such patterns o
Externí odkaz:
http://arxiv.org/abs/2208.14945
We establish a one-to-one correspondence between,on one hand the four types of transcendental meromorphic solutions of the autonomous Schwarzian differential equations which are elliptic,on the other hand the four binomial equations of Briot and Bouq
Externí odkaz:
http://arxiv.org/abs/2208.04470
Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations
We introduce a general third order non-linear autonomous ODE which covers many ODEs coming from boundary layer problems, like the Falkner-Skan equation and the Cheng-Minkowycz equation. Using Wiman-Valiron theory and complex analytic methods recently
Externí odkaz:
http://arxiv.org/abs/2112.15267
Autor:
Conte, Robert, Paris-Saclay, ENS
We present a one-line closed form expression for the three-parameter breather of the nonlinear Schr\"odinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses genera
Externí odkaz:
http://arxiv.org/abs/2104.06205
Autor:
Conte, Robert, Michel Grundland, A.
Publikováno v:
In Bulletin des sciences mathématiques February 2024 190
Autor:
Conte, Robert
We provide closed form solutions for an equation which describes the transport of turbulent kinetic energy in the framework of a turbulence model with a single equation.
Comment: 13 pages, to appear, Journal of nonlinear mathematical physics
Comment: 13 pages, to appear, Journal of nonlinear mathematical physics
Externí odkaz:
http://arxiv.org/abs/2008.11152