Results 21 to 30 of about 37,007 (164)
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
Alexandria Engineering Journal, 2023 Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty +3 more
doaj +1 more source
Elliptic Equations with Hardy Potential and Gradient-Dependent Nonlinearity
Advanced Nonlinear Studies, 2020 Let Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} (N≥3{N\geq 3}) be a C2{C^{2}} bounded domain, and let δ be the distance to ∂Ω{\partial\Omega}. We study equations (E±){(E_{\pm})}, -Lμu±g(u,|∇u|)=0{-L_{\mu}u\pm g(u,\lvert\nabla u\rvert)=0} in Ω, where Lμ=Δ+μδ2 ...
Gkikas Konstantinos T., Nguyen Phuoc-Tai
doaj +1 more source
Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method
Frontiers in Physics, 2020 In this paper, we investigated the non-linear Schrödinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh–Gordon equation expansion method (ShGEEM).
Amna Irshad +6 more
doaj +1 more source
Solutions of singular integral equations
International Journal of Mathematics and Mathematical Sciences, 1982 Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
doaj +1 more source
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 +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
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 +3 more
doaj +1 more source
Ain Shams Engineering JournalOptical 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 +3 more
doaj +1 more source
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 +4 more
doaj +1 more source