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941.
Utilizing the improved model with quasi-coherent two-quantum state and new
Hamiltonian containing an additional interaction term [Phys. Rev.
E62 (2000) 6989 and Euro. Phys. J. B19 (2001) 297] we study numerically the
influences of the quantum and disorder effects including distortion of the
sequences of masses of amino acid molecules and fluctuations of force
constant of molecular chains, and of exciton-phonon coupled constants and of
the dipole-dipole interaction constant and of the ground state energy on the
properties of the solitons transported the bio-energy in the protein
molecules by Runge-Kutta method. The results obtained show that the new
soliton is robust against these structure disorders, especially for stronger disorders in the sequence of masses spring constants and coupling constants, except for quite larger fluctuations of the ground state energy and dipole-dipole interaction constant. This means that the new soliton in the
improved model is very stable in normal cases and is possibly a carrier of
bio-energy transport in the protein molecules. 相似文献
942.
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
943.
LI Biao CHEN Yong 《理论物理通讯》2007,48(3):391-398
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 Schrfdinger 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 Weierstra.ss 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
944.
We report on the experimental observation of soliton pulses in an
erbium doped fibre ring laser. The passive mode-locking is achieved
using the nonlinear polarization rotation technique. By adjusting the
pump power and the intracavity polarization controllers, a normal
soliton, a stable 8th harmonic mode-locked pulse and a noise-like
pulse have been observed in our laser. The experimental results
revealed that the noise-like pulse is not suitable for the optical
telecommunication, and in order to obtain the stable harmonic
mode-locked soliton, a strong unstable CW laser field is necessary to
mediate global soliton interaction. The formation mechanism of the
harmonic mode-locked pulse has also been analysed. 相似文献
945.
Staring from a discrete matrix
spectral problem, a hierarchy of lattice soliton equations is presented though discrete zero curvature representation. The resulting lattice soliton equations possess
non-local Lax pairs. The Hamiltonian structures are established for the
resulting hierarchy by the discrete trace identity. Liouville integrability
of resulting hierarchy is demonstrated. 相似文献
946.
In this paper, by introducing a new transformation, the bilinear
form of the coupled integrable dispersionless (CID) equations is
derived. It will be shown that this bilinear form is easier to
perform the standard Hirota process. One-, two-, and three-soliton
solutions are presented. Furthermore, the N-soliton solutions are
derived. 相似文献
947.
Using the mapping method based on
q-deformed hyperbolic
functions, the exact solutions of generalized Breor-Kaup equations
are obtained. Based on the solutions, two coherent structures,
periodic-branch kink and non-ropagating kink, have been obtained.
Moreover, one solitonal interaction form, two line solitons
interaction on the kink background, has been found. 相似文献
948.
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
949.
YANG Jian-Rong MAO Jie-Jian 《理论物理通讯》2008,49(1):22-26
With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges of their physical quantities including energy, velocity and shape except the phase shift. 相似文献
950.
In this paper, by means of double elliptic equation expansion approach, the novel double nonlinear wave solutions of the (2+1)-dimensional break soliton equation are obtained. These double nonlinear wave solutions contain the double Jacobi elliptic function-like solutions, the double solitary wave-like solutions, and so on. The method is also powerful to some other nonlinear wave equations in (2+1) dimensions. 相似文献