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[PDF] Top 20 Approximation to the global solution of generalized Zakharov equations in \(\mathbf{R}^{2}\)

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Approximation to the global solution of generalized Zakharov equations in \(\mathbf{R}^{2}\)

Approximation to the global solution of generalized Zakharov equations in \(\mathbf{R}^{2}\)

... of Zakharov equation in space dimension ...the Zakharov system governing Langmuir turbulence, with initial data (u(0), n(0), ∂ t n(0)) ∈ H k × H l × H l–1 , in arbitrary space ... See full document

13

Inverse scattering and shape reconstruction

Inverse scattering and shape reconstruction

... These are: global solution to the inverse problem §5.1, solution to an exterior inverse problem §5.2, an extended Rayleigh-Gans Born approximation §5.3, reconstruction of binary images f[r] ... See full document

199

Initial Boundary Value Problem for a Generalized Zakharov Equations

Initial Boundary Value Problem for a Generalized Zakharov Equations

... the Zakharov system is shown to be locally well-posed for low regularity Schr¨odinger data and wave data under certain assumptions on the parameters ...smooth solution for a generalized ... See full document

5

Approximating solution for generalized quadratic functional integral equations with maxima

Approximating solution for generalized quadratic functional integral equations with maxima

... as approximation result for a certain nonlinear generalized quadratic functional integral equation with ...upper solution converges monotonically to the solution of the related quadratic ... See full document

16

RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients

RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients

... scale equations are pre- scribed in explicit ...scale equations are formed and solved numerically, where one constructs the basis functions from the leading order homogeneous elliptic equa- tion in coarse ... See full document

59

An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations

An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations

... nonlinear generalized Burger-Huxley equation which describe the relation of reaction, convection and diffusion ...These equations have been investigated by numerous authors, some numerical ... See full document

15

Runge-Kutta Nystrom method for solving fuzzy differential equations under generalized differentiability

Runge-Kutta Nystrom method for solving fuzzy differential equations under generalized differentiability

... strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a nu- merical approximation of ... See full document

14

Yosida approximation equations technique for system of generalized set valued variational inclusions

Yosida approximation equations technique for system of generalized set valued variational inclusions

... In this paper, under the assumption with no continuousness, we first introduce a new system of generalized variational inclusions in the Banach space. By using the Yosida ap- proximation technique for m-accretive ... See full document

11

Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

... fractional generalized Zakharov equations are ...fractional generalized Zakharov equations describe the interaction between dispersive and non-dispersive waves in one ...a ... See full document

18

An Approximation  Algorithm for  the solution of astrophysics equations using rational  scaled generalized Laguerre function collocation method based on transformed  Hermite Gauss nodes

An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite Gauss nodes

... the generalized Laguerre polynomial collocation method based on Hermite-Gauss ...reduces solution of the problem to solution of a system of algebraic ... See full document

6

A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations

A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations

... series solution method is used to obtain ap- proximate 2D time-space fractional diffusion, wave-like, telegraph, time-fractional Phi-4 equation, and Burger models from both closed-form and supportive series ... See full document

14

On global smooth solutions for quantum Zakharov system

On global smooth solutions for quantum Zakharov system

... The Zakharov system was studied by many authors ...smooth solution for a generalized Zakharov equation in two dimensional case for small initial data, and proved global existence of ... See full document

12

Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)

Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)

... two-dimensional generalized Zakharov system with quantum ...of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates and the Galerkin ... See full document

12

On Global Generalized Solution for a Generalized Zakharov Equations

On Global Generalized Solution for a Generalized Zakharov Equations

... [14] K. Mohammed, “New Exact traveling wave solutions of the (3 + 1) dimensional Kadomtsev-Petviashvili (KP) equation,” IAENG Interna- tional Journal of Applied Mathematics, vol. 37, no. 1, pp. 17-19, 2007. [15] N. Shang ... See full document

5

Effects of Nonlinearity on Wave Propagation in Fiber Bragg Gratings

Effects of Nonlinearity on Wave Propagation in Fiber Bragg Gratings

... In this section we present numerical results for the nonlinear coupled mode equations (NLCME) for fiber Bragg gratings. We solve numerically NLCME (5) as an initial value problem. We assume that the fiber has ... See full document

15

Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space

Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space

... → R satisfies the following conditions (DA)-(DA), let C ∗ be a nonempty, closed and convex subset of E ∗ , and let A : C ∗ → E be an α-inverse strongly skew monotone and ...any r >  be a given real ... See full document

22

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... cubic equations is unsatisfactory for it creates the impression that the formulae used for the case when the discriminant is positive are entirely different from those used when the discriminant is ...consider ... See full document

6

Gap functions and error bounds for random generalized variational inequality problems

Gap functions and error bounds for random generalized variational inequality problems

... The fuzzy set theory introduced by Zadeh [] in , has emerged as an interesting and fascinating branch of pure and applied sciences. The applications of the fuzzy set theory can be found in control engineering and ... See full document

17

A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

... In this paper we use shifted Chebyshev polynomials of second kind and recall some important properties. Next we extend these polynomials to fractional type and obtain the operational matrix of fractional derivative. This ... See full document

12

Optical soliton solutions to the \((2+1)\) dimensional Chaffee–Infante equation and the dimensionless form of the Zakharov equation

Optical soliton solutions to the \((2+1)\) dimensional Chaffee–Infante equation and the dimensionless form of the Zakharov equation

... wave solutions of such NLEEs and a number of powerful and efficient methods, such as the Bäcklund transformation method [1], the first integral method [2], the modified sim- ple equation method [3, 4], the ... See full document

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