共查询到20条相似文献,搜索用时 15 毫秒
1.
HUANG Wen-Hua ZHANG Jie-Fang 《理论物理通讯》2004,42(7)
Using the variable separation approach, many types of exact solutions of the generalized (2 1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton. 相似文献
2.
HUANGWen-Hua ZHANGJie-Fang 《理论物理通讯》2004,42(1):4-8
Using the variable separation approach, many types of exact solutions of the generalized (2 1)-dimensional Nizhnik-Novikov-Veselov equation are derived. One of the exact solutions of this model is analyzed to study the interaction between a line soliton and a y-periodic soliton. 相似文献
3.
The variable separation approach is used to obtain localized coherent structures of the new (2 1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks. 相似文献
4.
RUAN Hang-Yu LI Zhi-Fang 《理论物理通讯》2008,49(6):1547-1552
Starting from the variable separation approach, the algebraic soliton solution and the solution describing the interaction between line soliton and algebraic soliton are obtained by selecting appropriate seed solution for (2+1)-dimensional ANNV equation. The behaviors of interactions are discussed in detail both analytically and graphically. It is shown that there are two kinds of singular interactions between line soliton and algebraic soliton: 1) the resonant interaction where the algebraic soliton propagates together with the line soliton and persists infinitely; 2) the extremely repulsive interaction where the algebraic soliton affects the motion of the line soliton infinitely apart. 相似文献
5.
XU Chang-Zhi 《理论物理通讯》2006,46(9)
Variable separation approach is introduced to solve the (2 1)-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model (24). Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately. 相似文献
6.
MA Song-Hua QIANG Ji-Ye FANG Jian-Ping 《理论物理通讯》2007,48(4):662-666
By means of an improved mapping method and a variable separation method, a series of variable separation solutions including solitary wave solutions, periodic wave solutions and rational function solutions) to the (2+1)-dimensional breaking soliton system is derived. Based on the derived solitary wave excitation, we obtain some special annihilation solitons and chaotic solitons in this short note. 相似文献
7.
In this paper, the variable separation approach is used to obtain localized coherent structures of the (2 1)-dimensional generalized Davey-Stewarson equations: iqt 1/2(qxx qyy) (R S)q = O, Rx=-σ/2|q|2y Sy = -σ/2|q|2/x.Applying a special Backlund transformation and introducing arbitrary functions of the seed solutions, an abundance of the localized structures of this model is derived. By selecting the arbitrary functions appropriately, some special typesof localized excitations such as dromions, dromion lattice, breathers, and instantons are constructed. 相似文献
8.
XU Chang-Zhi 《理论物理通讯》2006,46(3):403-406
Variable separation approach is introduced to solve the (2+1)-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model (24). Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately. 相似文献
9.
Using the mapping approach via the projective Riccati equations, several types of variable separated solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation are obtained, including multiple-soliton solutions, periodic-soliton solutions, and Weierstrass function solutions. Based on a periodic-soliton solution, a new type of localized excitation, i.e., the four-dromion soliton, is constructed and some evolutional properties of this localized structure are briefly discussed. 相似文献
10.
In this paper,the variable separation approach is used to obtain localized coherent structures of the (2 1)-dimensional generalized Davey-Stewarson equations:iqt 1/2(qxx=qyy) (R S)q=0,Rx=-σ/2|q|y^2,Sy=-σ/2|q|2/x.Applying a special Baecklund transformation and introducing arbitrary functions of the seed solutions.and abundance of the localized structures of this model is derived,By selceting the arbitrary functions appropriately,some special types of localized excitations such as dromions,dromion lattice,breathers,and instantons are constructed. 相似文献
11.
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
12.
Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic. 相似文献
13.
利用双线性方法给出了2+1维Sawaka-Kotera(SK)方程的N孤子解.将N孤子解中的实参数扩大到复数范围,得到了该方程的呼吸子解,描述线孤子和y周期孤子相互作用的解和两个y周期孤子相互作用的解.从解析和几何两个角度探讨了两个y周期孤子的相互作用.相互作用性质和耦合系数有关.对于SK方程,耦合系数的取值只允许方程中存在弹性的排斥相互作用.
关键词:
y周期孤子相互作用
SK方程
双线性方法 相似文献
14.
利用分离变量法得到了2+1维Nizhnik-Novikov-Veselov方程包含三个任意函数的精确解.合 适地选择任意函数,该精确解可以是描述所有方向指数局域的dromion相互作用,三个方向 指数局域的‘Solitoff’和dromion相互作用以及线孤子和y周期孤子相互作用的解.对dromi on相互作用从解析和几何两个角度进行了详细地探讨,揭示了一些新的相互作用规律.
关键词:
dromions相互作用
NNV方程
分离变量法 相似文献
15.
By means of a special Painlevé-Bäcklund
transformation and a multilinear variable separation
approach, an exact solution with arbitrary functions of the
(2+1)-dimensional Boiti-Leon-Pempinelli system (BLP) is derived. Based on the derived variable separation solution,
we obtain some special soliton fission and fusion
solutions for the higher dimensional BLP system. 相似文献
16.
Starting from a special Backlund transform and a variable separation approach, a quite general variableseparation solution of the generalized (2+ 1)-dimensional perturbed nonlinear Schrodinger system is obtained. In additionto the single-valued localized coherent soliton excitations like dromions, breathers, instantons, peakons, and previouslyrevealed chaotic localized solution, a new type of multi-valued (folded) localized excitation is derived by introducingsome appropriate lower-dimensional multiple valued functions. 相似文献
17.
A simple and direct method is applied to solving the (2+1)-dimensional perturbed Ablowitz-Kaup-Newell-Segur system (PAKNS). Starting from a special Backlund transformation and the variable separation approach, we convert the PAKNS system into the simple forms, which are four variable separation equations, then obtain a quite generalsolution. Some special localized coherent structures like fractal dromions and fractal lumps of this model are constructed by selecting some types of lower-dimensional fractal patterns. 相似文献
18.
Burgers equation ut = 2uux + uxx describes a lot of phenomena in physics fields, and it has attracted much attention.In this paper,the Burgers equation is generalized to (2+1) dimensions.By means of the Painlev(e') analysis,the most generalized Painlev(e') integrable(2+1)-dimensional integrable Burgers systems are obtained.Some exact solutions of the generalized Burgers system are obtained via variable separation approach. 相似文献
19.
Compacton, Peakon, and Foldon Structures in the (2+1)-Dimensional Nizhnik-Novikov-Veselov Equation 总被引:1,自引:0,他引:1
By the use of the extended homogenous
balance method, the Backlund transformation
for a (2+1)-dimensional integrable model, the(2+1)-dimensional
Nizhnik-Novikov-Veselov (NNV) equation, is obtained,
and then the NNV equation is transformed into three
equations of linear, bilinear, and tri-linear forms,
respectively. From the above three equations,
a rather general variable separation solution
of the model is obtained. Three novel class localized structures
of the model are founded by the entrance of two variable-separated
arbitrary functions. 相似文献
20.
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