Results 31 to 40 of about 592,249 (330)

On singular solutions of Lane-Emden equation on the Heisenberg group

Advanced Nonlinear Studies, 2023
By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: ΔHu+up=0,inHn\{0}{\Delta }_{{\mathbb{H}}}u+{u}^{p}=0\left,\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0 ...
Wei Juncheng, Wu Ke
doaj   +1 more source

On the Existence of Singular Solutions [PDF]

gmj, 2001
Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartušek, M., Osička, J.
openaire   +2 more sources

Vlasov moments, integrable systems and singular solutions

, 2007
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the operation of taking the moments of the Vlasov PDF preserves the Lie-Poisson
Benney, Bloch, Bloch, Camassa, Caprino, Cendra, Cendra, Cesare Tronci, Chen, Cousineau, Darryl D. Holm, Dragt, Dubin, Falqui, Gibbons, Gibbons, Gibbons, Gibbons, Gibbons, Holm, Holm, Holm, Holm, Holm, Holm, Holm, John Gibbons, Koscielniak, Kupershmidt, Kuz'min, Lebedev, Lebedev, Marsden, Marsden, Marsden, Qin, Schamel, Scovel, Venturini, Weinstein   +39 more
core   +1 more source

Solitons behavior of Sasa-Satsuma equation in birefringent fibers with Kerr law nonlinearity using extended F-expansion method

Ain Shams Engineering Journal
Optical soliton solutions in birefringent fibers and other analytic solutions for Sasa-Satsuma equation with Kerr law nonlinearity are investigated using extended F-expansion method.
Mohammed Borg, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +1 more source

Radially Symmetric Solutions of

International Journal of Differential Equations, 2012
We investigate solutions of and focus on the regime and . Our advance is to develop a technique to efficiently classify the behavior of solutions on , their maximal positive interval of existence.
William C. Troy, Edward P. Krisner
doaj   +1 more source

Twisting singular solutions of Bethe's equations

, 2014
The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical,
Nepomechie, Rafael I., Wang, Chunguang
core   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

On cavitation in Elastodynamics [PDF]

, 2012
Motivated by the works of Ball (1982) and Pericak-Spector and Spector (1988), we investigate singular solutions of the compressible nonlinear elastodynamics equations.
Giesselmann, Jan, Tzavaras, Athanasios E.   +1 more
core  

Singularites in the Bousseneq equation and in the generalized KdV equation

, 2001
In this paper, two kinds of the exact singular solutions are obtained by the improved homogeneous balance (HB) method and a nonlinear transformation. The two exact solutions show that special singular wave patterns exists in the classical model of some ...
A. C. Newell, A. Yu. Kamenshhik, Akira Nakamura, B. J. Gluckman, B. P. Luce, C. R. Doering, C. S. Gardner, D. Bazeia, G. B. Whitham, J. Bonssinesq, J. Eggers, J. Weiss, K. R. Sreenivasan, L. M. Hocking, L. Yang, M. Adler, M. J. Ablowitz, M. J. Landman, M. P. Brenner, M. S. Longuet-Higgins, M. Wang, N. B. Tufillaro, P. G. Drazin, P. Rosenau, P. Rosenau, R. Hirota, U. Frisch, V. I. Karpman, V. I. Karpman, V. M. Galkin, Yang Kongqing, Yang Lei   +31 more
core   +1 more source

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

FEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo, Catherine S. Palmer, Jacqueline M. Kimmey   +2 more
wiley   +1 more source