共查询到20条相似文献,搜索用时 704 毫秒
1.
Nonlocal symmetries,consistent Riccati expansion integrability,and their applications of the (2+1)-dimensional Broer–Kaup–Kupershmidt system 下载免费PDF全文
《中国物理 B》2015,(9)
For the (2+1)-dimensional Broer–Kaup–Kupershmidt(BKK) system, the nonlocal symmetries related to the Schwarzian variable and the corresponding transformation group are found. Moreover, the integrability of the BKK system in the sense of having a consistent Riccati expansion(CRE) is investigated. The interaction solutions between soliton and cnoidal periodic wave are explicitly studied. 相似文献
2.
With the help of the Maple symbolic computation system and the projective equation approach,a new family of variable separation solutions with arbitrary functions for the(2+1)-dimensional generalized Breor-Kaup(GBK) system is derived.Based on the derived solitary wave solution,some chaotic behaviors of the GBK system are investigated. 相似文献
3.
MA Song-Hua FANG Jian-Ping HONG Bi-Hai ZHENG Chun-Long 《理论物理通讯》2008,49(5):1245-1248
By means of an extended mapping approach and a linear variable separation approach, a new family of exact solutions of the (3+1)-dimensional Jimbo-Miwa system is derived. Based on the derived solitary wave solution, we obtain some special localized excitations and study the interactions between two solitary waves of the system. 相似文献
4.
A parabolic-bistable potential system driven by colored noise is studied.The exact analytical expressions of the stationary probability distribution (SPD) and the moments of the system are derived.Furthermore,the mean first-passage time is calculated by the use of two approximate methods,respectively.It is found that (i) the double peaks of SPD are rubbed-down into a flat single peak with the increasing of noise intensity;(ii) a minimum occurs on the curve of the second-order moment of the system vs.noise intensity at the point DΓ=0.025;(iii) the results obtained by our approximate approach are in good agreement with the numerical calculations for either small or large correlation time τ,while the conventional steepest descent approximation leads to poor results. 相似文献
5.
Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay 下载免费PDF全文
This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system,which are regarded as the drive system and the response system respectively.Some effective observers are produced to identify the unknown parameters of the Lü system.Based on the Lyapunov stability theory and linear matrix inequality technique,some sufficient conditions of global exponential synchronization of the two chaotic systems are derived.Simulation results show the effectiveness and feasibility of the proposed controller. 相似文献
6.
《理论物理通讯》2015,(8)
Using the standard truncated Painlev expansion, the residual symmetry of the(2+1)-dimensional modified dispersive water-wave system is localized in the properly prolonged system with the Lie point symmetry vector. Some different transformation invariances are derived by utilizing the obtained symmetries. The symmetries of the system are also derived through the Clarkson-Kruskal direct method, and several types of explicit reduction solutions relate to the trigonometric or the hyperbolic functions are obtained. Finally, some special solitons are depicted from one of the solutions. 相似文献
7.
Fusion,fission, and annihilation of complex waves for the(2+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system 下载免费PDF全文
With the help of the symbolic computation system, Maple and Riccati equation( ξ= a0+ a1ξ+ a22ξ), expansion method, and a linear variable separation approach, a new family of exact solutions with q = lx + my + nt + Γ(x, y,t) for the(2+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff system(GCBS) are derived. Based on the derived solitary wave solution, some novel localized excitations such as fusion, fission, and annihilation of complex waves are investigated. 相似文献
8.
Considering that there are abundant coherent solitent soliton excitations in high dimensions,we reveal a novel phenomenon that the localized excitations possess chaotic and fractal behaviour in some(2 1)-dimensional soliton systems.To clarify the interesting phenomenon,we take the generalized(2 1)-dimensional Nizhnik-Novikov-Vesselov system as a concrete example,A quite general variable separation solutions of this system is derived via a variable separation approach first.then some new excitations like chaos and fractals are derived by introducing some types of lower-dimensional chaotic and fractal patterns. 相似文献
9.
Folded localized excitations in the (2+1)-dimensional modified dispersive water-wave system 下载免费PDF全文
By using a mapping approach and a linear variable separation approach, a new family of solitary wave solutions with arbitrary functions for the (2+1)-dimensional modified dispersive water-wave system (MDWW) is derived. Based on the derived solutions and using some multi-valued functions, we obtain some novel folded localized excitations of the system. 相似文献
10.
The quantal symmetry property of the CP1 nonlinear σ model with Maxwell non-Abelian ChernSimons terms in(2+1) dimension is studied.In the Coulomb gauge,the system is quantized by using the Faddeev-Senjanovic(FS) path-integral formalism.Based on the quantaum Noether theorem,the quantal conserved angular momentum is derived and the fractional spin at the quantum level in this system is presented. 相似文献
11.
12.
In this paper, the extended tanh-function method (ETM) based on the mapping equation is further improved by generalizing the Riccati equation. The new variable separation solutions of the (2+1)-dimensional Broer–Kaup–Kupershmidt (BKK) system are derived. From the periodic wave solution and by selecting appropriate functions, the evolutional behaviours of peakons and compactons on the background of Jacobian elliptic wave are investigated. 相似文献
13.
Based on the Lie algebra A
1, the integrable Broer-Kaup-Kupershmidt (BKK) system is revisited. The bi-Hamiltonian structure is constructed by the trace
identity. Two extensions of the Lie algebra A
1 are considered, i.e., the non-semi-simple Lie algebra of 4×4 matrix and the super-Lie algebra of 3×3 matrix, from which two
hierarchies of soliton equations related to BKK system are given. With the aid of the generalized trace identity and the super-trace
identity, the Hamiltonian and super-Hamiltonian structures of the resulting systems are constructed. 相似文献
14.
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
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.
This paper retrieves lump solution for (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system by the aid of Hirota bilinear method (HBM). We also obtain rogue wave solutions formed by the interaction of lump solution and a pair of stripe solitons. The dynamics of these solutions are figured out graphically by selecting suitable values to parameters. 相似文献
17.
18.
19.
Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2 1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2 1)-dimensional GBK system. 相似文献
20.
FANG Jian-Ping ZHENG Chun-Long ZHU Hai-Ping REN Qing-Bao CHEN Li-Qun 《理论物理通讯》2005,44(2):203-208
Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2+1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2+1)-dimensional GBK system. 相似文献