scholarly journals Exact Solution of the Landau-Lifshitz Equation in a Plane Wave

2008 ◽  
Vol 83 (3) ◽  
pp. 305-313 ◽  
Author(s):  
A. Di Piazza
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Lifshitz Equation

scholarly journals Exact Solutions Superimposed with Nonlinear Plane Waves

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
B. S. Desale ◽  
Vivek Sharma
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Incompressible Fluid ◽  
Exact Solutions ◽  
Large Scale ◽  
Plane Waves ◽  
Boussinesq Equations ◽  
Integral Curves ◽  
Nonlinear Plane ◽  
Scale Motion

The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinear plane waves. Finally, we provide exact solutions to rotating stratified Boussinesq equations with large scale motion superimposed with the nonlinear plane waves. In support of our investigations, we provided two examples: one described the special exact solution and in second example, we have determined the special exact solution superimposed with nonlinear plane wave. Also, we depicted some integral curves that represent the flow of an incompressible fluid particle on the planex1+x2=L(constant)as the particular case.

SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION

2011 ◽  
Vol 26 (32) ◽  
pp. 2437-2452 ◽  
Author(s):  
PENGHONG ZHONG ◽  
SHU WANG ◽  
SHENGTAO CHEN
Keyword(s):  
Exact Solution ◽  
Periodic Solution ◽  
Exact Solutions ◽  
Finite Time ◽  
Blow Up ◽  
Three Dimensional ◽  
Ferromagnetic Materials ◽  
Lifshitz Equation ◽  
Dimensional Spacetime ◽  
Vortex Solution

In this paper, we construct the exact solution of two- or three-dimensional spacetime Landau–Lifshitz equation raised in the ferromagnetic materials. Under suitable transformations, some exact solutions are obtained in the radially symmetric coordinates and nonsymmetric coordinates. The type of solutions cover the finite time blow-up solution, vortex solution and periodic solution. In the end, we sketch some solutions and their spatial curvatures.

SCALAR DIFFRACTION BY A PROLATE SPHEROID AT LOW FREQUENCIES

1960 ◽  
Vol 38 (12) ◽  
pp. 1632-1641 ◽  
Author(s):  
T. B. A. Senior
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Oblate Spheroid ◽  
Prolate Spheroid ◽  
Wave Number ◽  
Scalar Problem ◽  
Low Frequencies ◽  
Scalar Diffraction

For the scalar problem of the diffraction of a plane wave by a prolate spheroid the exact solution is known, and by expanding this in ascending powers of ka, where k is the wave number and 2a is the interfocal distance, the Rayleigh series for both the "soft" and "hard" bodies are obtained up to and including terms in (ka)6. The corresponding results for an oblate spheroid can be deduced by a trivial change of parameters. Some particular cases are examined.

Exact plane-wave solution of equations of gravitation theory with massive graviton

2021 ◽  
Vol 64 (1) ◽  
pp. 10-15
Author(s):  
A.A. Baiderin ◽  
◽  
I.P. Denisova ◽  
V.S. Rostovsky ◽  
◽  
...  
Keyword(s):  
Exact Solution ◽  
Gravitational Field ◽  
Plane Wave ◽  
Wave Solution ◽  
Jacobi Method ◽  
Scalar Wave ◽  
Massive Graviton ◽  
Plane Wave Solution ◽  
Solution Of Equations ◽  
Theory Of Gravitation

The theory of gravitation with a massive graviton, which was proposed by Visser, is considered. The exact solution of this theory is found when the source of the gravitational field is plane scalar wave. The Hamilton-Jacobi method obtained the laws of motion of massive and massless particles in this gravitational field.

Exact solution to plane-wave scattering by an ideal "left-handed" wedge

2006 ◽  
Vol 23 (2) ◽  
pp. 339 ◽  
Author(s):  
Cesar Monzon ◽  
Donald W. Forester ◽  
Douglas Smith ◽  
Peter Loschialpo
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Wave Scattering ◽  
Left Handed ◽  
Plane Wave Scattering

Darboux Transformation and Exact Solutions of the Continuous Heisenberg Spin Chain Equation

2014 ◽  
Vol 69 (1-2) ◽  
pp. 9-16 ◽  
Author(s):  
Ai-Hua Chen ◽  
Fan-Fan Wang
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Darboux Transformation ◽  
Spin Chain ◽  
Soliton Solutions ◽  
Complex Case ◽  
Heisenberg Spin ◽  
Seed Solution ◽  
Heisenberg Spin Chain ◽  
Chain Equation

In this paper, we give the N-fold Darboux transformation (DT) for the continuous Heisenberg spin chain which describes the motion of the isotropic ferromagnets in the complex case. By using this DT, we get N-soliton solutions and a new exact solution of the spin chain from a trivial seed solution and a plane wave seed solution, respectively.

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