LII. On stationary waves in flowing water.—Part II

Roll waves on flowing cornstarch suspensions

We report a traveling wave instability in low Reynolds number flows of aqueous concentrated suspensions of corn starch. The experimental observations are difficult to reconcile with theoretical predictions based on simple rheological models which indicate that flows are stable at low Reynolds number.  2005 Elsevier B.V. All rights reserved.

Plasmon-soliton waves in planar slot waveguides. II. Results for stationary waves and stability analysis

Wiktor Walasik,1,2 Gilles Renversez,1,* and Fangwei Ye3 1Aix–Marseille Université, CNRS, Centrale Marseille, Institut Fresnel, UMR 7249, 13013 Marseille, France 2ICFO—Institut de Ciències Fotòniques, Universitat Politècnica de Catalunya, 08860 Castelldefels (Barcelona), Spain 3Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China (Received 30 June 2015; revi...

Onset of spatially chaotic waves on flowing films.

Stationary waves on nonlinear quantum graphs. II. Application of canonical perturbation theory in basic graph structures.

We consider exact and asymptotic solutions of the stationary cubic nonlinear Schrödinger equation on metric graphs. We focus on some basic example graphs. The asymptotic solutions are obtained using the canonical perturbation formalism developed in our earlier paper [S. Gnutzmann and D. Waltner, Phys. Rev. E 93, 032204 (2016)2470-004510.1103/PhysRevE.93.032204]. For closed example graphs (inter...

Action-angle representation of waves and instabilities in flowing plasmas

Action-angle representation of linear fluctuation in plasma is formally performed by taking the Lagrange-Hamilton theory as the basis and invoking the recent spectral technique [Hirota and Fukumoto, J. Math. Phys. 49 083101 (2008)], which is shown to be applicable equally to the magnetohydrodynamic (MHD) system and the Vlasov-Maxwell system. This formalism leads to a natural definition of the w...