Extension of a perturbation-expansion method to strong-interaction boundary-layer problems, with application to vorticity interaction

1971 ◽  
Vol 22 (4) ◽  
pp. 664-680
Author(s):  
E. Dale Martin
Keyword(s):  
Boundary Layer ◽  
Strong Interaction ◽  
Perturbation Expansion ◽  
Expansion Method ◽  
Boundary Layer Problems ◽  
Perturbation Expansion Method

A Perturbation Expansion Method to Study Highly Correlated Spins

2009 ◽  
Vol 23 (1) ◽  
pp. 145-148
Author(s):  
E. V. Anda ◽  
G. Chiappe ◽  
C. A. Büsser ◽  
M. A. Davidovich ◽  
G. B. Martins ◽  
...  
Keyword(s):  
Perturbation Expansion ◽  
Expansion Method ◽  
Highly Correlated ◽  
Perturbation Expansion Method

Derivation of quantum Chernoff metric with perturbation expansion method

2014 ◽  
Vol 23 (9) ◽  
pp. 090305 ◽  
Author(s):  
Wei Zhong ◽  
Jian Ma ◽  
Jing Liu ◽  
Xiao-Guang Wang
Keyword(s):  
Perturbation Expansion ◽  
Expansion Method ◽  
Perturbation Expansion Method

Application of Process Analysis Method to the Solution of 2-DNonlinear Progressive Gravity Waves

1992 ◽  
Vol 36 (01) ◽  
pp. 30-37
Author(s):  
S. J. Liao
Keyword(s):  
Gravity Waves ◽  
Process Analysis ◽  
Perturbation Expansion ◽  
Continuous Mapping ◽  
Nonlinear Problems ◽  
Expansion Method ◽  
Order Of Approximation ◽  
Two Dimensional ◽  
Analysis Method ◽  
Perturbation Expansion Method

Based on continuous mapping, a kind of analytical method for nonlinear problems, namely, the Process Analysis Method, is described and used to solve two-dimensional nonlinear progressive gravity waves. Solutions at the fourth order of approximation are obtained and compared with Stokesian waves. In contrast to the perturbation expansion method, the Process Analysis Method is independent of small or great parameters and therefore can solve nonlinear problems without small or great parameters.

Stability of ion-acoustic solitons in a multispecies plasma consisting of non-isothermal electrons

1998 ◽  
Vol 60 (1) ◽  
pp. 151-158 ◽  
Author(s):  
DEBALINA CHAKRABORTY ◽  
K. P. DAS
Keyword(s):  
Acoustic Waves ◽  
Perturbation Expansion ◽  
Expansion Method ◽  
Ion Acoustic Waves ◽  
Long Wavelength ◽  
Petviashvili Equation ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
The Stability ◽  
Perturbation Expansion Method

A modified Kadomtsev–Petviashvili equation is derived for ion-acoustic waves in a multispecies plasma consisting of non-isothermal electrons. This equation is used to investigate the stability of modified KdV solitons against long-wavelength plane-wave perturbation using the small-k perturbation expansion method of Rowlands and Infeld. It is found that modified KdV solitons are stable.

scholarly journals An expansion method for singular perturbation problems

1962 ◽  
Vol 2 (4) ◽  
pp. 440-463 ◽  
Author(s):  
J. J. Mahony
Keyword(s):  
Boundary Layer ◽  
Perturbation Expansion ◽  
Linear Partial Differential Equation ◽  
Expansion Method ◽  
Perturbation Series ◽  
Elastic Plates ◽  
Error Terms ◽  
Perturbation Problems ◽  
Limiting Values ◽  
Thin Elastic Plates

SummaryA method is proposed for obtaining a uniformly valid perturbation expansion of the solution of a non-linear partial differential equation, involving either a large or small parameter, when the solution exhibits boundary layer type dependence on the parameter. The method differs from those previously in use in that it is not based on drawing a distinction between points in the boundary layer and points in the remainder of the field. Each point is treated as belonging to both regimes and this enables a stricter control to be maintained on the error terms in the expansions. The method is devised so as to ensure that all forms of error terms are reduced in order at each step in the expansion and not merely those error terms which are mathematically most significant for limiting values of the parameter. The perturbation series can then be used for a wider range of the parameter and provides a solution even when the boundary layer is not particularly thin.The method is presented through its application to a problem which arises in the theory of the large deflexion of thin elastic plates but the principles underlying the method are more widely applicable.

GABITOV–TURITSYN EQUATION FOR SOLITONS IN OPTICAL FIBERS

2003 ◽  
Vol 12 (01) ◽  
pp. 17-37 ◽  
Author(s):  
ANJAN BISWAS
Keyword(s):  
Optical Fibers ◽  
Perturbation Expansion ◽  
Expansion Method ◽  
Multiple Scale ◽  
Optical Solitons ◽  
Dispersion Management ◽  
Wavelength Division ◽  
Wavelength Division Multiplexed ◽  
Scale Perturbation ◽  
Perturbation Expansion Method

The dynamics of optical solitons with dispersion-management propagating through optical fibers with damping and amplification is studied. A multiple-scale perturbation expansion method is used to analyze the nonlinear Schrödinger's equation that governs the propagation of such solitons. In this paper we have considered both polarization preserving as well as birefringent fibers. Finally, the case of dense wavelength-division-multiplexed soliton system is also considered.

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