共查询到20条相似文献,搜索用时 531 毫秒
1.
MAZheng-Yi ZHUJia-Min ZHENGChun-Long 《理论物理通讯》2004,42(4):521-523
A novel phenomenon that the localized coherent structures of a (2 1)-dimensional physical model possess fractal behaviors is revealed. To clarify the interesting phenomenon, we take the (2 1)-dimensional Boiti Leon-Pempinelli system as a concrete example. Starting from an extended homogeneous balance approach, a general solution of the system is derived. From which some special localized excitations with fractal behaviors are obtained by introducin gsome types of lower-dimensional fractal patterns. 相似文献
2.
ZHENGChun-Long 《理论物理通讯》2003,40(1):25-32
In this work, we reveal a novel phenomenon that the localized coherent structures of some (2 1)-dimensional physical models possess chaotic and fractal behaviors. To clarify these interesting phenomena, we take the (2 l)-dimensional modified dispersive water-wave system as a concrete example. Starting from a variable separation approach,a general variable separation solution of this system is derived. Besides the stable located coherent soliton excitations like dromions, lumps, rings, peakons, and oscillating soliton excitations, some new excitations with chaotic and fractal behaviors are derived by introducing some types of lower dimensional chaotic and fractal patterns. 相似文献
3.
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
4.
General Solution and Fractal Localized Structures for the (2+1)—Dimensional Generalized Ablowitz—Kaup—Newell—Segur System 总被引:4,自引:0,他引:4 下载免费PDF全文
Using the standard truncated Painleve expansions,we derive a quite general solution of the (2 1)-dimensional generalized Ablowitz-Kaup-Newell-Segur system.Except for the usual localized solutions,such as dromions,lumps,ring soliton solutions,etc,some special localized excitations with fractal behaviour i.e.the fractal dromion and fractal lump excitations,are obtained by some types of lower-dimensional fractal patterns. 相似文献
5.
Considering that some types of fractal solutions may appear in many (2 1)-dimensional soliton equations because some arbitrary functions can be included in the exact solutions,we use some special types of lower dimensional fractal functions to construct higher dimensional fractal solutions of the Nizhnik-Novikov-Veselov equation.The static eagle-shape fractal solutions,fractal dromion solutions and the fractal lump solutions are given in detail. 相似文献
6.
With a new projective equation, a series of solutions of the (2-J-1)-dimensional dispersive long-water wave system (LWW) is derived. Based on the derived solitary wave solution, we obtain some special fractal localized structures and chaotic patterns. 相似文献
7.
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
8.
By an improved projective equation approach and a linear variable separation approach, a new family of exact solutions of the (2+1)-dimensional Broek--Kaup system is derived. Based on the derived solitary wave solution and by selecting appropriate functions, some novel localized excitations such as instantaneous solitons and fractal solitons are investigated. 相似文献
9.
Two classes of fractal structures for the (2+1)-dimensional dispersive long wave equation 总被引:1,自引:0,他引:1 下载免费PDF全文
Using the mapping approach via a Riccati equation, a series of variable separation
excitations with three arbitrary functions for the (2+1)-dimensional dispersive long wave (DLW)
equation are derived. In addition to the usual localized coherent soliton excitations like
dromions, rings, peakons and compactions, etc, some new types of excitations
that possess fractal behaviour are obtained by introducing appropriate
lower-dimensional localized patterns and Jacobian elliptic functions. 相似文献
10.
Dynamical System Approach to a Coupled Dispersionless System: Localized and Periodic Traveling Waves 下载免费PDF全文
Gambo Betchewe Kuetche Kamgang Victor Bouetou Bouetou Thomas Timoleon Crepin Kofane 《中国物理快报》2009,26(6):55-57
We investigate the dynamical behavior of a coupled dispersionless system describing a current-conducting string with infinite length within a magnetic field. Thus, following a dynamical system approach, we unwrap typical miscellaneous traveling waves including localized and periodic ones. Studying the relative stabilities of such structures through their energy densities, we find that under some boundary conditions, localized waves moving in positive directions are more stable than periodic waves which in contrast stand for the most stable traveling waves in another boundary condition situation. 相似文献
11.
Kuetche Kamgang Victor Gambo Betchewe Bouetou Bouetou Thomas Timoleon Crepin Kofane 《中国物理快报》2009,26(3):54-57
We investigate the dynamical behaviour of a coupled dispersionless system (CDS) by solving its initial-value problem following a dynamical system approach. As a result, we unearth a typical miscellaneous travelling waves including the localized and periodic ones. We also investigate the energy density of such waves and find that under some boundary conditions, the localized waves moving towards positive direction are more stable than the periodic waves which on contrary stand for the most conditions. stable travelling waves in another situation of boundary conditions. 相似文献
12.
Optical bistability and multistability in a three-level Δ-type atomic system under the nonresonant condition 下载免费PDF全文
Under a nonresonant condition, we theoretically investigate hybrid
absorptive-dispersive optical bistability and multistability
behaviours in a three-level Δ-type system by using a microwave
field to drive a hyperfine transition between two upper excited
states inside a unidirectional ring cavity. We find that the optical
bistability and multistability behaviours can be controlled by
adjusting the intensity of the microwave field or the intensity of
the coherent coupling field. Furthermore, our studies show an
interesting phenomenon of the transition from the optical
bistability to the optical multistability only by changing the
negative detuning of the coupling field into the positive detuning
of the coupling field. 相似文献
13.
Using the theory of nonlinear interactions between long and short waves,a nonlinear fractal sea surface model is presented for a one dimensional deep sea.Numerical simulation results show that spectra intensity changes at different locations(in both the wave number domain and temporal-frequency domain),and the system obeys the energy conservation principle.Finally,a method to limit the fractal parameters is also presented to ensure that the model system does not become ill-posed. 相似文献
14.
The nonequilibrium phase transition and the symmetry revival induced by time delay in an asymmetric bistable system with correlated noises 下载免费PDF全文
The nonequilibrium phase transition and the symmetry
revival induced by time delay in a bistable system are investigated.
The stationary probability distribution function (SPDF) of the
bistable system with time delay and correlated noises are calculated
by an analytical method and stochastic simulation respectively. The
analytical and simulative results indicate that: (1) There is a
certain value of λ (λ denotes the strength of
correlations between the multiplicative and additive noises) to make
the SPDF symmetric under some time delay; however, above or below
the given value, the symmetry will be broken; (2) With the
monotonic change of λ , the unimodal peak structure of SPDF
becomes bimodal at the beginning, then it becomes unimodal again; this
means that there is a reentrance phenomenon in the process; (3)
There is a critical value of delay time, which makes the lower peak
of SPDF equal to the higher one under the critical condition. This
means that the symmetry revival phenomenon emerges. 相似文献
15.
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
16.
Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed. 相似文献
17.
The projection of the chaotic attractor observed from the Lorenz system in the
$X$--$Z$ plane is like a butterfly, hence the classical Lorenz system is widely
known as the butterfly attractor, and has served as a prototype model for studying
chaotic behaviour since it was coined.In this work we take one step further to
investigate some fundamental dynamic behaviours of a novel hybrid Takagi--Sugeno
(TS) fuzzy Lorenz-type system, which is essentially derived from the
delta-operator-based TS fuzzy modelling for complex nonlinear systems, and contains
the original Lorenz system of continuous-time TS fuzzy form as a special case. By
simply and appropriately tuning the additional parametric perturbations in the
two-rule hybrid TS fuzzy Lorenz-type system, complex (two-wing) butterfly attractors
observed from this system in the three dimensional (3D) $X$--$Y$--$Z$ space are
created, which have not yet been reported in the literature, and the forming
mechanism of the compound structures have been numerically investigated. 相似文献
18.
By using the generalized cell mapping digraph (GCMD)method,we study bifurcations governing the escape of periodically forced oscillators in a potential well,in which a chaotic saddle plays an extremely important role.Int this paper,we find the chaotic saddle,and we demonstrate that the chaotic saddle is embedded in a strange fractal boundary which has the Wada property,that any point on the boundary of that basin is also simultaneously on the boundary of at least two other basins.The chaotic saddle in the Wada fractal boundary,by colliding with a chaotic attractor,leads to a chaotic boundary crisis with a global indeterminate outcome which presents an extreme form of indeterminacy in a dynamical system.We also investigate the origin and evolution of the chaotic saddle in the Wada fractal boundary particularly concentrating on its discontinuous bifurcations(metamorphoses),We demonstrate that the chaotic saddle in the Wada fractal boundary is created by the collision between two chaotic saddles in different fractal boundaries.After a final escape bifurcation,there only exists the attractor at infinity;a chaotic saddle with a beautiful pattern is left behind in phase space. 相似文献
19.
ZHENG Chun-Long YE Jian-Feng XU Yuan 《理论物理通讯》2006,46(3):461-466
Using a special Painleve-Baecklund transformation as well as the extended mapping approach and the linear superposition theorem, we obtain new families of variable separation solutions to the (2+1)-dimensional generalized Broer-Kaup (GBK) system. Based on the derived exact solution, we reveal some novel evolutional behaviors of localized excitations, i.e. fission and fusion phenomena in the (2+1)-dimensional GBK system. 相似文献
20.
Doping dependent metal to insulator transition in the (Bi,Pb)-2212 system: The evolution of structural and electronic properties with europium substitution 下载免费PDF全文
The present work investigates the effect of europium substitution on the(Bi,Pb)-2212 system in the concentration range 0.5 ≤ x ≤ 1.0.Phase analysis and lattice parameter calculations on the powder diffraction data and the elemental analysis of EDX show that the Eu atoms are successfully substituted into the(Bi,Pb)-2212 system.Resistivity measurements(64-300 K) reveal that the system exhibits superconductivity at x ≤ 0.5 and semiconductivity at x > 0.5.With the complete suppression of superconductivity which is known to be a quasi-two dimensional phenomenon in these materials,a metal to insulator transition takes place at x = 0.6 and the predominant conduction mechanism is found to be variable range hopping between localized states,resulting in macroscopic semiconducting behaviour.The results of electrical and structural properties of the doped(Bi,Pb)-2212 compounds suggest that the decrease of charge carrier concentration and the induced structural disorder are the more effective and dominant mechanisms in the origin of the metal to insulator transition and suppression of superconductivity due to Eu substitution at its Sr site. 相似文献