Ultrashort light bullets described by the two-dimensional sine-Gordon equation
Texte intégral
Documents relatifs
For the case of the sG or another nonlinear Hamiltonian equation, we justify the coupling conditions at the vertices of the network using a homothetic approach and conservation
In conclusion, we investigate families of fundamental and vortical spatiotemporal dissipative solitons in the framework of the 3D CGL equation with the CQ nonlinearity,
By using a reductive perturbation technique applied to a two-level model, this study puts forward a generic two-dimensional sine-Gordon evolution equation governing the propagation
By using a reductive perturbation method, we derive from Maxwell-Bloch equations a cubic generalized Kadomtsev-Petviashvili equation for ultrashort spatiotemporal optical
This paper is organized as follows. In the next section we present in detail the governing equations for the density matrix in the case of the most general Hamiltonian for
Given the regularity and convergence properties for the imaginary Gaussian multiplicative chaos N (Proposition 1.1), Theorem 1.2 follows from a standard application of the
Theorem 1.1 is a version of the soliton resolution for global solutions of the one- dimensional damped nonlinear Klein-Gordon equation (1.1), with convergence for the whole sequence
[6] Dang Duc Trong, Nguyen Thanh Long, Pham Ngoc Dinh Alain, Nonhomogeneous heat equation: Identification and regularization for the inhomogeneous term, J.