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Articles 1 - 10 of 10
Full-Text Articles in Physics
Nonlinear Schrodinger Equation In Nematic Liquid Crystals, Peter Palffy-Muhoray, J. A. Reyes
Nonlinear Schrodinger Equation In Nematic Liquid Crystals, Peter Palffy-Muhoray, J. A. Reyes
Peter Palffy-Muhoray
We derive the amplitude equation, in the weakly nonlinear regime, for an optical wave packet that propagates in an initially undistorted nematic liquid crystal. By using the dyad representation Q(ij), we find the retarded and nonlocal equation for the nematic configuration and solve it in Fourier space. This allows us to calculate the amplitude dependent dispersion relation for a nematic liquid crystal in a given initial undistorted stationary state. We consider a linearly polarized wave packet that travels along the principal axis of the nematic dielectric tensor. We find a nonlinear Schrodinger equation for the amplitude, which includes an additional …
Nonlinear Waves And Solitons On Contours And Closed Surfaces, Andrei Ludu
Nonlinear Waves And Solitons On Contours And Closed Surfaces, Andrei Ludu
Andrei Ludu
No abstract provided.
Nonlinear Equations And Wavelets, Andrei Ludu
Nonlinear Phenomena In Nuclei: The Antisoliton Model For Fission, Andrei Ludu
Nonlinear Phenomena In Nuclei: The Antisoliton Model For Fission, Andrei Ludu
Andrei Ludu
No abstract provided.
Patterns On Liquid Surfaces: Cnoidal Waves, Compactons And Scaling, Andrei Ludu
Patterns On Liquid Surfaces: Cnoidal Waves, Compactons And Scaling, Andrei Ludu
Andrei Ludu
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incompressible liquid are analytically investigated. Cnoidal modes, solitons and compactons, as traveling non-axially symmetric shapes are discussed. A finite-difference differential generalized Korteweg-de Vries equation is shown to describe the three-dimensional motion of the fluid surface and the limit of long and shallow channels one re-obtains the well-known KdV equation. A tentative expansion formula for the representation of the general solution of a nonlinear equation, for given initial condition is introduced on a graphical-algebraic basis. The model is useful in multilayer fluid dynamics, cluster formation, and nuclear …
Nonlinear Liquid Drop Model. Cnoidal Waves, Andrei Ludu
Nonlinear Liquid Drop Model. Cnoidal Waves, Andrei Ludu
Andrei Ludu
No abstract provided.
Generalization Kdv Equation For Fluid Dynamics And Quantum Algebras, Andrei Ludu
Generalization Kdv Equation For Fluid Dynamics And Quantum Algebras, Andrei Ludu
Andrei Ludu
No abstract provided.
Alpha+28si Cluster Structure As Solitons On The Nuclear Surface, Andrei Ludu
Alpha+28si Cluster Structure As Solitons On The Nuclear Surface, Andrei Ludu
Andrei Ludu
No abstract provided.
Quasimolecular Resonances In Alpha+20ne Systems, Andrei Ludu
Quasimolecular Resonances In Alpha+20ne Systems, Andrei Ludu
Andrei Ludu
No abstract provided.
Cluster As Solitons On The Nuclear Surface, Andrei Ludu
Cluster As Solitons On The Nuclear Surface, Andrei Ludu
Andrei Ludu
No abstract provided.