共查询到20条相似文献,搜索用时 93 毫秒
1.
In this Letter, using Backlund transformation and the new variable separation approach, we find a new general solution to the (3 1)-dimensional Burgers equation. The form of the universal formula obtained from many (2 1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately. 相似文献
2.
SHENShou-Feng PANZu-Liang ZHANGJun 《理论物理通讯》2004,42(1):49-50
In this Letter, using Ba^ecklund transformation and the new variable separation approach, we find a new general solution to the (3 1)-dimensional Burgers equation. The form of the universal formula obtained from many (2 1)-dimensional systems is extended. Abundant localized coherent structures can be found by seclecting corresponding functions appropriately. 相似文献
3.
SHEN Shou-Feng 《理论物理通讯》2005,44(5):779-782
The multi-linear variable separation approach (MLVSA ) is very useful to solve (2+1)-dimensional integrable systems. In this letter, we extend this method to solve a (1+1)-dimensional coupled integrable dispersion-less system. Namely, by using a Backlund transformation and the MLVSA, we find a new general solution and define a new "universal formula". Then, some new (1+1)-dimensional coherent structures of this universal formula can be found by selecting corresponding functions appropriately. Specially, in some conditions, bell soliton and kink soliton can transform each other, which are illustrated graphically. 相似文献
4.
In this letter, using a Bäcklund transformation and the new
variable separation approach, we find a new general solution of
the (N+1)-dimensional Burgers system. The form of the universal
formula obtained from many (2+1)-dimensional system is extended. 相似文献
5.
LI Hua-Mei 《理论物理通讯》2003,39(5):513-518
Using a Backlund transformation and the variable separation approach, we find there exist abundant localized coherent structures for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt (BKK) system. The abundance of the localized structures for the model is introduced by the entrance of an arbitrary function of the seed solution. For some specialselections of the arbitrary function, it is shown that the localized structures of the BKK equation may be dromions, lumps, ring solitons, peakons, or fractal solitons etc. 相似文献
6.
Soliton Fusion and Fission Phenomena in the (2+1)-Dimensional Variable Coefficient Broer-Kaup System
In this paper, the general projective Riccati equation method is applied to derive variable separation solutions of the (2+1)-dimensional
variable coefficient Broer-Kaup system. By further studying, we find that these variable separation solutions obtained by
PREM, which seem independent, actually depend on each other. Based on the variable separation solution and choosing suitable
functions p and q, new types of fusion and fission phenomena among bell-like semi-foldons are firstly investigated. 相似文献
7.
Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schroedinger Equation
XUChang-Zhi ZHANGJie-Fang 《理论物理通讯》2004,42(4):568-572
A variable separation approach is proposed and successfully extended to the (1 1)-dimensional physics models. The new exact solution of (1 1)-dimensional nonlinear models related to Schr6dinger equation by the entrance of three arbitrary functions is obtained. Some special types of soliton wave solutions such as multi-soliton wave solution,non-stable soliton solution, oscillating soliton solution, and periodic soliton solutions are discussed by selecting the arbitrary functions appropriately. 相似文献
8.
Variable separation solutions and new solitary wave structures to the (l+l)-dimensional Ito system 下载免费PDF全文
A variable separation approach is proposed and extended to the
(1+1)-dimensional physics system. The variable separation solution of
(1+1)-dimensional Ito system is obtained. Some special types of solutions
such as non-propagating solitary wave solution, propagating solitary wave
solution and looped soliton solution are found by selecting the arbitrary
function appropriately. 相似文献
9.
By using a Bäcklund transformation and the multi-linear variable separation approach, we find a new general
solution of a (2+1)-dimensional generalization of the nonlinear
Schrödinger system. The new “universal” formula is defined, and then, rich coherent structures can be found by selecting corresponding
functions appropriately. 相似文献
10.
Oscillating Solitons for (2+1)-Dimensional Nonlinear Models 总被引:1,自引:0,他引:1
Using extended homogeneous balance method and variable separation hypothesis,we found new variableseparation solutions with three arbitrary functions of the (2 1)-dimensional dispersive long-wave equations.Based on derived solutions,we revealed abundant oscillating solitons such as dromion,multi-dromion,solitoff,solitary waves,and so on,by selecting appropriate functions. 相似文献
11.
12.
Naranmandula HU Jian-Guo BAO Gang Tubuxin 《理论物理通讯》2008,49(5):1109-1113
Using improved homogeneous balance method, we obtain complex function form new exact solutions for the (1+1)-dimensional dispersion-less system, and from the exact solutions we derive real function form solution of the field u. Based on this real function form solution, we find some new interesting coherent structures by selecting arbitrary functions appropriately. 相似文献
13.
In this letter, starting from a B\"{a}cklund transformation, a
general solution of a (2+1)-dimensional integrable system is
obtained by using the new variable separation approach. 相似文献
14.
PENG Yan-ze 《理论物理通讯》2003,40(9)
A new Backlund transformation for (2 1)-dimensional KdV equation is first obtained by using homogeneousbalance method. And making use of the Backlund transformation and choosing a special seed solution, we get specialtypes of solitary wave solutions. Finally a general variable separation solution containing two arbitrary functions isconstructed, from which abundant localized coherent structures of the equation in question can be induced. 相似文献
15.
Exotic interactions between solitons of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system 下载免费PDF全文
Starting from the extended tanh-function method (ETM) based on the
mapping method, the variable separation solutions of the
(2+1)-dimensional asymmetric Nizhnik--Novikov--Veselov (ANNV) system
are derived. By further study, we find that these variable separation
solutions are seemingly independent of but actually dependent on each
other. Based on the variable separation solution and by choosing
appropriate functions, some novel and interesting interactions
between special solitons, such as bell-like compacton, peakon-like
compacton and compacton-like semi-foldon, are investigated. 相似文献
16.
Burgers equation is the simplest one in soliton theory, which has been widely applied in almost all the physical branches. In this paper, we discuss the Painleve property of the (3+1)-dimensional Burgers equation, and then Becklund transformation is derived according to the truncated expansion of the obtained Painleve analysis. Using the Backlund transformation, we find the rouge wave solutions to the equation via the multilinear variable separation approach. And we aiso give an exact solution obtained by general variable separation approach, which is proved to possess abundant structures. 相似文献
17.
XU Chang-Zhi HE Bao-Gang 《理论物理通讯》2006,46(7)
Extended mapping approach is introduced to solve (2 1)-dimensional Nizhnik-Novikov-Veselov equation.A new type of variable separation solutions is derived with arbitrary functions in the model. Based on this excitation,rich localized structures such as multi-lump soliton and ring soliton are revealed by selecting the arbitrary function appropriately. 相似文献
18.
Based on the extended mapping deformation method and symbolic
computation, many exact travelling wave solutions are found for
the (3+1)-dimensional JM equation and the (3+1)-dimensional KP
equation. The obtained solutions include solitary solution, periodic wave solution,
rational travelling wave solution, and Jacobian and Weierstrass
function solution, etc. 相似文献
19.
This paper applies the exp-function method, which was originally proposed to find new exact travelling wave solutions of nonlinear evolution equations, to the Riccati equation, and some exact solutions of this equation are obtained. Based on the Riccati equation and its exact solutions, we find new and more generalvariable separation solutions with two arbitrary functions of (1+1)-dimensional coupled integrable dispersionless system. As some special examples, some new solutions can degenerate into variable separation solutions reported in open literatures. By choosing suitably two independent variables p(x) and q(t) inour solutions, the annihilation phenomena of the flat-basin soliton, arch-basin soliton, and flat-top soliton are discussed. 相似文献
20.
With the help of an extended mapping approach and a linear variable separation method, new families of variable separation solutions with arbitrary functions for the (3 1)-dimensional Burgers system are derived. Based on thc derived exact solutions, some novel and interesting localized coherent excitations such as embed-solitons are revealed by selecting appropriate boundary conditions and/or initial qualifications. The time evolutional properties of the novel localized excitation are also briefly investigated. 相似文献