Results 31 to 40 of about 3,020,455 (306)

Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

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, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 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

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})}, -Lμ⁢u±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, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din, Ilyas Khan, El-Sayed M. Sherif, El-Sayed M. Sherif   +6 more
doaj   +1 more source

Solution of a singular integral equation by a split-interval method

, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J., Lima, Pedro M., Thomas, Sophy M., Diogo, Teresa   +3 more
core   +2 more sources

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

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

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