نتایج جستجو برای: Perturbation expansion

تعداد نتایج: 197422  

Journal: :computational methods for differential equations 0
manjit singh yadavindra college of engineering, punjabi university guru kashi campus, talwandi sabo

as an application of hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. we have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear backlund transformations and construction of ...

We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...

Journal: :Progress of Theoretical Physics Supplement 1970

Journal: :Journal of High Energy Physics 2006

1998
C. Adam

The massive Schwinger model may be analysed by a perturbation expansion in the fermion mass. However, the results of this mass perturbation theory are sensible only for sufficiently small fermion mass. By performing a renormal-ordering, we arrive at a chiral perturbation expansion where the expansion parameter remains small even for large fermion mass. We use this renormal-ordered chiral pertur...

Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces  has a series expansion.

2006
Francesco Bullo

In this note we investigate open-loop control of underactuated mechanical systems and draw connections between averaging and controllability theory. Two sets of results are presented: averaging under high-amplitude high-frequency forcing, and series expansions for the evolution of a forced mechanical system starting at rest.

1995
Yasusada Nambu

As an application of Gradient Expansion (long-wavelength) approximation , we studied the inhomogeneous universe including the gravitational wave(GW). For a plane-symmetric cosmological model, we could implement the 2nd order expansion and analyze the purely non-linear perturbation of GW. The result indicates that the non-linear eect plays an important role in anisotropic stage of the universe. ...

Journal: :CoRR 2006
Jan W. Dash

We present a quasi-analytic perturbation expansion for multivariate N dimensional Gaussian integrals. The perturbation expansion is an infinite series of lower-dimensional integrals (one-dimensional in the simplest approximation). This perturbative idea can also be applied to multivariate Student-t integrals. We evaluate the perturbation expansion explicitly through 2 order, and discuss the con...

Journal: :iranian journal of mechanical engineering transactions of the isme 0
a. farshidianfar department of mechanical engineering ferdowsi university of mashhad n. nickmehr

the current paper focuses on some analytical techniques to solve the non-linear duffing oscillator with large nonlinearity. four different methods have been applied for solution of the equation of motion; the variational iteration method, he’s parameter expanding method, parameterized perturbation method, and the homotopy perturbation method. the results reveal that approximation obtained by th...

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