Results 31 to 40 of about 784,955 (324)

Relative Periodic Solutions of the Complex Ginzburg-Landau Equation

, 2005
A method of finding relative periodic orbits for differential equations with continuous symmetries is described and its utility demonstrated by computing relative periodic solutions for the one-dimensional complex Ginzburg-Landau equation (CGLE) with ...
Dang‐Vu H., Lan Yueheng, Levenberg Kenneth, Michael T. Heath, Miller Willard, Philip Boyland, Robert D. Moser, Vanessa López   +7 more
core   +2 more sources

Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation

Advances in Mathematical Physics, 2022
In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function.
Chun-Rong Qin, Jian-Guo Liu, Wen-Hui Zhu, Guo-Ping Ai, M. Hafiz Uddin   +4 more
doaj   +1 more source

Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation

, 2009
The periodic and step-like solutions of the double-Sine-Gordon equation are investigated, with different initial conditions and for various values of the potential parameter $\epsilon$. We plot energy and force diagrams, as functions of the inter-soliton
Abdorrasoul Gharaati, Afshin Montakhab, C.A. Condat, C.A. Popov, E. Kreyszig, E. Magyari, H.B. Callen, J. Pouget, J. Timonen, K. Maki, K.M. Leung, L.V. Yakushevich, M. Croitoru, M. El-Batanouny, M. Guidry, M. Wang, Marzieh Peyravi, N. Hatakenaka, N. Riazi, N. Riazi, N. Riazi, Nematollah Riazi, O. Hudak, R. D’Inverno, R. Khomeriki, S. Burdick, S. Cuenda, S. Duckworth, T. Uchiyama, V.A. Gani, Y. Shiefman   +30 more
core   +2 more sources

Scaling laws for large numbers of coexisting attracting periodic solutions in the border-collision normal form

, 2014
A wide variety of intricate dynamics may be created at border-collision bifurcations of piecewise-smooth maps, where a fixed point collides with a surface at which the map is nonsmooth.
Simpson, David J. W.
core   +1 more source

Travelling wave solutions for the doubly dispersive equation using improved modified extended tanh-function method

Alexandria Engineering Journal, 2022
In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed, Afaf A.S. Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential

, 2007
Coupled-mode systems are used in physical literature to simplify the nonlinear Maxwell and Gross-Pitaevskii equations with a small periodic potential and to approximate localized solutions called gap solitons by analytical expressions involving ...
A. Pankov, B. Helffer, B. Sandstede, D. Pelinovsky, D.E. Pelinovsky, D.E. Pelinovsky, Dmitry Pelinovsky, G. Panati, G.L. Alfimov, Guido Schneider, J.C. Slater, K. Busch, L. Pitaevskii, M. Dimassi, M. Lukas, M. Reed, M. Unser, M.S. Eastham, R.S. MacKay, Robert S. MacKay, W. Kohn   +20 more
core   +1 more source

Periodic and asymptotically periodic solutions of neutral integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2000
Many results have been obtained for periodic solutions of Volterra integral equations (for instance, [1-3] and references cited therein). Here we consider two systems of neutral integral equations \begin{eqnarray} x(t)=a(t)+\int_0^t D(t,s,x(s))ds+\int_t^\
Tetsuo Furumochi, Theodore Burton
doaj   +1 more source

Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in 2+1 dimensions

, 2008
Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2+1)-dimensional Hirota bilinear equations.
Belokolos E., Calogero F., Cao C. W., LIANG GAO, Matsuno Y., Rauch H. E., RUGUANG ZHOU, WEN-XIU MA, Zhou R. G.   +8 more
core   +1 more source

A Quality Improvement Initiative to Standardize Pneumocystis jirovecii Pneumonia Prophylaxis in Pediatric Patients With Solid Tumors

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar, Denise M. Connolly, Ellen Kellington, Elyse Zelunka, Karla Kerrigan, Furqan Shaikh, Paul C. Nathan, Meredith S. Irwin, Sarah Cohen‐Gogo   +8 more
wiley   +1 more source

Discontinuous bifurcations of periodic solutions

Mathematical and Computer Modelling, 2002
The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
openaire   +2 more sources