Results 31 to 40 of about 773,939 (324)

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

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 Solutions of a Periodic FitzHugh–Nagumo System [PDF]

International Journal of Bifurcation and Chaos, 2015
Recently some interest has appeared for the periodic FitzHugh–Nagumo differential systems. Here, we provide sufficient conditions for the existence of periodic solutions in such differential systems.
Llibre, Jaume, Vidal, Claudio
openaire   +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

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

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

Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities

, 2007
We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions.
Chen, Hongbin, Li, Yi
core   +2 more sources

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

FEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi, Pilar Samperio Ventayol, Natalie Burkard, Nicolas Schlegel, Carmen Aguilar, Sina Bartfeld   +5 more
wiley   +1 more source

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

4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase in malaria parasites and enhances atovaquone efficacy

FEBS Letters, EarlyView.
Atovaquone is an antimalarial requiring potentiation for sufficient efficacy. We pursued strategies to enhance its activity, showing that 4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase, decreasing ubiquinone biosynthesis. Since atovaquone competes with ubiquinol in mitochondria, 4‐nitrobenzoate facilitates its action, potentiating ...
Ignasi Bofill Verdaguer, Matheus Felipe Santos, Maurício Mazzine Filho, Gabriela Oliveira Castro, Agustín Hernández, Manoel Aparecido Peres, Alejandro Miguel Katzin, Marcell Crispim   +7 more
wiley   +1 more source