Results 31 to 40 of about 593,696 (329)

Singular Solutions to Monge-Ampère Equation

Analysis in Theory and Applications, 2022
We construct merely Lipschitz and $C^{1,α}$ with rational $α ∈ (0, 1 − 2/n]$ viscosity solutions to the Monge-Ampère equation with constant right hand side.
Caffarelli, Luis A., Yuan, Yu
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

SINGULAR SOLUTIONS OF CLAIRAUT-TYPE EQUATIONS IN PARTIAL DERIVATIVES WITH REVERSE TRIGONOMETRIC FUNCTIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina, A. S. Zubtsova, Yu. O. Shavenkova   +2 more
doaj   +1 more source

New singular solutions for the (3+1)-D Protter problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
For the nonhomogeneous wave equation with three space and one time variables we study a boundary value problem that can be regarded as a four-dimensional analogue of the Darboux problem in R2.
T.P. Popov
doaj   +1 more source

Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

Fractal and Fractional, 2023
In this paper, we consider the existence of positive solutions for a singular tempered fractional equation with a p-Laplacian operator. By constructing a pair of suitable upper and lower solutions of the problem, some new results on the existence of ...
Xinguang Zhang, Peng Chen, Hui Tian, Yonghong Wu   +3 more
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

Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

Alexandria Engineering Journal, 2022
In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation.
H.A. Eldidamony, Hamdy M. Ahmed, A.S. Zaghrout, Y.S. Ali, Ahmed H. Arnous   +4 more
doaj   +1 more source

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

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