Traveling and standing waves mediate pattern formation in cellular protrusions. [PDF]
Sci Adv, 2020 Excitable waves evolve into standing patterns and lead to the various dynamic and static protrusions seen in migrating cells. The mechanisms regulating protrusions during amoeboid migration exhibit excitability.
Bhattacharya S +5 more
europepmc +2 more sources
Standing Waves Braneworlds [PDF]
International Journal of Modern Physics D, 2016 The class of non-stationary braneworld models generated by the coupled gravitational and scalar fields is reviewed. The model represents a brane in a space-time with single time and one large (infinite) and several small (compact) space-like extra ...
Gogberashvili, Merab +3 more
core +3 more sources
Focal cortical seizures start as standing waves and propagate respecting homotopic connectivity. [PDF]
Nat Commun, 2017 Focal epilepsy involves excessive cortical activity that propagates both locally and distally. Does this propagation follow the same routes as normal cortical activity?
Rossi LF +3 more
europepmc +2 more sources
Coherent control of light-matter interactions in polarization standing waves. [PDF]
Sci Rep, 2016 We experimentally demonstrate that standing waves formed by two coherent counter-propagating light waves can take a variety of forms, offering new approaches to the interrogation and control of polarization-sensitive light-matter interactions in ...
Fang X +3 more
europepmc +2 more sources
Standing waves on quantum graphs [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We review evolutionary models on quantum graphs expressed by linear and nonlinear partial differential equations. Existence and stability of the standing waves trapped on quantum graphs are studied by using methods of the variational theory, dynamical ...
Adilbek Kairzhan, D. Noja, D. Pelinovsky
semanticscholar +1 more source
Rogue waves on the background of periodic standing waves in the derivative nonlinear Schrödinger equation. [PDF]
Physical Review E, 2021 The derivative nonlinear Schrödinger (DNLS) equation is the canonical model for the dynamics of nonlinear waves in plasma physics and optics. We study exact solutions describing rogue waves on the background of periodic standing waves in the DNLS ...
Jinbing Chen, D. Pelinovsky
semanticscholar +1 more source
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction [PDF]
Journal of Differential Equations, 2021 We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schrödinger equation with a point interaction and a focusing power nonlinearity. The Schrödinger operator with a point interaction (−∆α)α∈R describes
Noriyoshi Fukaya, V. Georgiev, M. Ikeda
semanticscholar +1 more source
Standing waves of the quintic NLS equation on the tadpole graph [PDF]
Calculus of Variations and Partial Differential Equations, 2020 The tadpole graph consists of a circle and a half-line attached at a vertex. We analyze standing waves of the nonlinear Schrödinger equation with quintic power nonlinearity equipped with the Neumann–Kirchhoff boundary conditions at the vertex.
D. Noja, D. Pelinovsky
semanticscholar +1 more source
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities [PDF]
Transactions of the American Mathematical Society, 2020 We consider a nonlinear Schr\"odinger equation with double power nonlinearity \begin{align*} i\partial_t u+\Delta u-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end{align*} where ...
Noriyoshi Fukaya, M. Hayashi
semanticscholar +1 more source
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation [PDF]
Journal of nonlinear science, 2020 We consider the periodic standing waves in the derivative nonlinear Schrödinger (DNLS) equation arising in plasma physics. By using a newly developed algebraic method with two eigenvalues, we classify all periodic standing waves in terms of eight ...
Jinbing Chen +2 more
semanticscholar +1 more source