منابع مشابه
Nonlinear Bessel beams
The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is investigated analytically and numerically using the nonlinear Schrödinger equation. The nonlinearity is shown to primarily affect the central parts of the Bessel beam, giving rise to radial compression or decompression depending on whether the nonlinearity is focusing or defocusing, respectively. The dynamical propert...
متن کاملA New Approach for Solving Nonlinear Thomas-fermi Equation Based on Fractional Order of Rational Bessel Functions
In this article, we introduce a fractional order of rational Bessel functions collocation method (FRBC) for solving the Thomas-Fermi equation. The problem is defined in the semi-infinite domain and has a singularity at x = 0 and its boundary condition occurs at infinity. We solve the problem on the semi-infinite domain without any domain truncation or transformation of the domain of the problem...
متن کاملNote on a Nonlinear Volterra Equation
9. S. G. Krein, and O. I. Prozorovskaya, An analogue of Seidel's method for operator equations, Voronez. Gos. Univ., Trudy Sem. Functional. Anal. 5 (1957), 35-38. 10. W. V. Petryshyn, The generalized overrelaxation method for the approximate solution of operator equations in Hubert space, J. Soc. Indust. Appl. Math. 10 (1962), 675-690. 11. S. Schechter, Relaxation methods for linear equations, ...
متن کاملOn a Nonlinear Integral Equation without Compactness
The purpose of this paper is to obtain an existence result for the integral equation u (t) = φ (t, u (t)) + ∫ b a ψ (t, s, u (s)) ds, t ∈ [a, b] where φ : [a, b]×R → R and ψ : [a, b]× [a, b]×R → R are continuous functions which satisfy some special growth conditions. The main idea is to transform the integral equation into a fixed point problem for a condensing map T : C [a, b] → C [a, b]. The ...
متن کاملOn a “zero mass” nonlinear Schrödinger equation
We look for positive solutions to the nonlinear Schrödinger equation −ε2∆u − V (x)f ′(u) = 0, in RN , under the hypothesis of zero mass on the nonlinearity. We prove an existence result for any ε > 0, and a multiplicity result for ε sufficiently small.
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1972
ISSN: 0034-5318
DOI: 10.2977/prims/1195193231