共查询到20条相似文献,搜索用时 15 毫秒
1.
Periodic Structure of Equatorial Envelope Rossby Wave Under
Influence of Diabatic Heating 总被引:1,自引:0,他引:1
FUZun-Tao CHENZhe LIUShi-Da LIUShi-Kuo 《理论物理通讯》2004,42(1):43-48
A simple shallow-water model with influence of diabatic heating on a β-plane is applied to investigate the nonlinear equatorial Rossby waves in a shear flow. By the asymptotic method of multiple scales, the cubic nonlinear Schro^edinger (NLS for short) equation with an external heating source is derived for large amplitude equatorial envelope Rossby wave in a shear flow. And then various periodic structures for these equatorial envelope Rossby waves are obtained with the help of Jacob/elliptic functions and elliptic equation. It is shown that phase-locked diabatic heating plays an important role in periodic structures of rational form. 相似文献
2.
FU Zun-Tao LIU Shi-Da LIU Shi-Kuo 《理论物理通讯》2004,42(10)
The cubic nonlinear Schrodinger (NLS for short) equation with a generalized external heating source is derived for large amplitude equatorial envelope Rossby wave in a shear flow. And then various periodic structures for these equatorial envelope Rossby waves are obtained with the help of a new transformation, Jacobi elliptic functions,and elliptic equation. It is shown that different types of resonant phase-locked diabatic heating play different roles in structures of equatorial envelope Rossby wave. 相似文献
3.
CHEN Zhe LI Chong-Yin FU Zun-Tao 《理论物理通讯》2007,47(1):35-40
A simple barotropic potential vorticity equation with the influence of dissipation is applied to investigate the nonlinear Rossby wave in a shear flow in the tropical atmophere. By the reduetive perturbation method, we derive the rotational KdV (rKdV for short) equation. And then, with the help of Jaeobi elliptie functions, we obtain various periodic structures for these Rossby waves. It is shown that dissipation is very important for these periodic structures of rational form. 相似文献
4.
A simple shallow-water model with influence of external forcing on
a β-plane is applied to investigate the nonlinear equatorial
Rossby waves in a shear flow. By the perturbation method, the
extended variable-coefficient KdV equation under an external
forcing is derived for large amplitude equatorial Rossby wave in a
shear flow. And then various periodic-like structures for these
equatorial Rossby waves are obtained with the help of Jacobi
elliptic functions. It is shown that the external forcing plays an
important role in various periodic-like structures. 相似文献
5.
The envelope periodic solutions to some nonlinear coupled equations are obtained by means of the Jacobielliptic function expansion method. And these envelope periodic solutions obtained by this method can degenerate tothe envelope shock wave solutions and/or the envelope solitary wave solutions. 相似文献
6.
Solving Nonlinear Wave Equations by Elliptic Equation 总被引:5,自引:0,他引:5
The elliptic equation is taken as a transformation and applied to solve nonlinear wave equations. It is shown that this method is more powerful to give more kinds of solutions, such as rational solutions, solitary wave solutions,periodic wave solutions and so on, so it can be taken as a generalized method. 相似文献
7.
Elliptic equation is taken as an ansatz and applied to solve
nonlinear wave equations directly. More kinds of solutions are
directly obtained, such as rational solutions, solitary wave
solutions, periodic wave solutions and so on. It is shown that
this method is more powerful in giving more kinds of solutions, so
it can be taken as a generalized method. 相似文献
8.
In this paper, by applying the Jacobi elliptic function expansion method, the periodic solutions for two coupled nonlinear partial differential equations are obtained. 相似文献
9.
LIU Shi-Da FU Zun-Tao LIU Shi-Kuo 《理论物理通讯》2007,48(3):425-427
In this paper, by applying the Jacobi elliptic function expansion method, the periodic solutions for two coupled nonlinear partial differential equations are obtained. 相似文献
10.
FU Zun-Tao LIU Shi-Kuo LIU Shi-Da 《理论物理通讯》2004,42(9)
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a transformationand is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodicsolutions of rational form, solitary wave solutions of rational form, and so on. 相似文献
11.
LIU Shi-Kuo GAO Bin FU Zun-Tao LIU Shi-Da 《理论物理通讯》2009,51(6):1069-1072
In this paper, applying the dependent and independent variables transformations as well as the Jacobi elliptic function expansion method, the envelope periodic solutions to one-dimensional Gross-Pitaevskii equation in Bose-Einstein condensates are obtained. 相似文献
12.
Elliptic Equation and New Solutions to Nonlinear Wave Equations 总被引:2,自引:0,他引:2
FUZun-Tao LIUShi-Kuo LIUShi-Da 《理论物理通讯》2004,42(3):343-346
The new solutions to elliptic equation are shown, and then the elliptic: equation is taken as a transformation and is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form, and so on. 相似文献
13.
DOU Fu-Quan SUN Jian-An DUAN Wen-Shan LU Ke-Pu 《理论物理通讯》2007,48(4):584-590
Based on the multi-linear variable separation approach, a class of exact, doubly periodic wave solutions for the (3+1)-dimensional Jimbo-Miwa equation is analytically obtained by choosing the Jacobi elliptic functions and their combinations. Limit cases are considered and some new solitary structures (new dromions) are derived. The interaction properties of periodic waves are numerically studied and found to be inelastic. Under long wave limit, two sets of new solution structures (dromions) are given. The interaction properties of these solutions reveal that some of them are completely elastic and some are inelastic. 相似文献
14.
The Periodic Wave Solutions for Two Nonlinear Evolution Equations 总被引:14,自引:0,他引:14
ZHANGJin-Liang WANGMing-Liang CHENGDong-Ming FANGZong-De 《理论物理通讯》2003,40(2):129-132
By using the F-expansion method proposed recently, the periodic wave solutions expressed by Jacobi elliptic functions for two nonlinear evolution equations are derived. In the limit cases, the solitary wave solutions and the other type of traveling wave solutions for the system are obtained. 相似文献
15.
The new rational form solutions to the elliptic equation are shown, and then these solutions to the elliptic equation are taken as a transformation and applied to solve nonlinear coupled wave equations. It is shown that more novel kinds of solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form,and so on. 相似文献
16.
FU Zun-Tao LIN Guang-Xing LIU Shi-Kuo LIU Shi-Da 《理论物理通讯》2005,44(2):235-242
The new rational form solutions to the elliptic equation are shown, and then these solutions to the elliptic equation are taken as a transformation and applied to solve nonlinear coupled wave equations. It is shown that more novel kinds of solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form,and so on. 相似文献
17.
In the paper, a generalized sub-equation method is presented to construct some exact analytical solutions of nonlinear partial differential equations. Making use of the method, we present rich exact analytical solutions of the onedimensional nonlinear Schr(o)dinger equation which describes the dynamics of solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic potential. The solutions obtained include not only non-traveling wave and coefficient function's soliton solutions, but also Jacobi elliptic function solutions and Weierstrass elliptic function solutions. Some plots are given to demonstrate the properties of some exact solutions under the Feshbachmanaged nonlinear coefficient and the hyperbolic secant function coefficient. 相似文献
18.
19.
In this paper, by applying the extended 3acobi elliptic function expansion method, the envelope periodic solutions and corresponding dark soliton solution, bright soliton solution to Bose-Einstein condensation in linear magnetic field and time-dependent laser field are obtained. 相似文献
20.
A New Approach to Solve Nonlinear Wave Equations 总被引:3,自引:0,他引:3
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are applied to propose a new approach to construct exact periodic solutions to nonlinear wave equations. It is shown that more new periodic solutions can be obtained by this new approach, and more shock wave solutions or solitary wave solutions can be got under their limit conditions. 相似文献