1. Solitons are solitary waves; the Severn bore is a good example.

2. Scientists predicted that solitons should be very mobile, but only along the polymer chains.

3. In 1965 the term soliton was coined to describe waves with this remarkable behaviour.

4. Charged solitons are not as mobile as their neutral counterparts.

5. Once soliton come, I will cast off towline immediately.

6. The interaction of different soliton sequency was studied. The result show that the two solitons most outside were influenced mostly, so the introduction of a frequency shifts on them is suggested.

7. A photovoltaic spatial soliton theory of duotone signal beam with monochrone background beam is presented, and a solution of bright soliton has been obtained by a numberical method.

8. Dispersion-managed soliton interaction is investigated in an optical time-division multiplexed system with random dispersion map by the variational approach and the numerical simulation.

9. Particularly, the dynamics of soliton periodic distributed amplification system is discussed in detail.

10. Femtosecond soliton effect compression is investigated to obtain pulses from passively mode - locked fiber lasers.

11. A stable spatial soliton originally can be formed in a crystal at given temperature.

12. An analytical soliton solution in exporientially dispersion-decreasing fibers is obtained by means of perturbative method taking into consideration of the third-order dispersion.

13. We give an elementary introduction to the soliton and exact solutions in noncommutative field theory.

14. For example, the conferences of "The nonlinear soliton structure and dynamics in the condensed matter physics" has been held in Oxford, and "Solitons in physics" in Goteborg.

15. The answer is that both provide a medium for solitons.

16. The system uses a sliding frequency guiding filter to regulate the speed of the soliton waves.

17. A multiparticle simulation to control the halo by a soliton function controller is performed. It shows that the halo- chaos and its regeneration can be eliminated.

18. We describes the extensive applications of Photonic Bandgap-photonic Crystal Fibers in High-power laser beam transmission, particle transfer,[http://] sensor and soliton compression in detail.

19. The transmitted wave usually evolves into a single peak soliton with an oscillating tail which is found to decay rapidly, and the reflected wave into a slowly decaying wave train.

20. Then through resolving a key operator equation, we obtain the commutator representation of this hierarchy of the soliton equations.

21. When the initial power equals the critical power, a stabile spatial soliton is obtained, and generally the beam width takes periodical contraction or diffraction.

22. Finally, we study the dynamics of matter wave gap soliton in optical lattice with randomness.

23. The results also show unequal amplitude method can reduce the interaction between femtosecond soliton in the presence of optical source chirp in a certain degree.

24. The effects of the sliding-frequency guiding filters on reducing soliton phase jitter were theoretically studied by perturbation theory.

25. The fundamental equations and results of different methods for solving soliton equations are deduced by using the projection matrix method.

26. It achieves good performance in nonlinear fiber and optical soliton transmission problems.

27. By means of the method, sixteen kinds of exact travelling wave solutions for R-L-W equation are obtained, which contain soliton wave solutions and periodic solutions.

28. SIGVD can be used to compensate the dispersion of medium, and a diffraction-free and quasi-dispersion-free pulsed beam, similar to a spatiotemporal soliton, can be produced in a dispersion medium.

29. Simulation results show that the phase-shift between pumping and signal light in PSA results in descending of soliton pulse amplitude.

30. In photoisomerization polymer, the perpendicular optical control of the optical spatial soliton interaction is simulated by numerical method.

31. The larger the phase - shift, the more significant the amplitude of soliton pulse descended.

32. It achieves good performance in nonlinear optic fiber and optical soliton transmission problems.

33. Because soliton lattice should be emerged in trans polyacetylene whe.

34. This paper focuses on the perturbation which takes the sine form. The effect of amplitude, frequency, wave number, and initial phase difference on the propagation of optical soliton is investigated.

35. Soliton self-frequency shift effect as well as fission of higher-order soli tons was observed in this experiment. Nonsoli tonic radiation made the spectrum broaden at the short wavelength direction.

36. In photoisomerization polymerthe perpendicular optical control the optical spatial soliton interaction is simulated by numerical method.

37. And optical pulses can propagate stably in long transmission based on soliton self - trapping.

38. Solitons and solitary waves in inhomogeneous media are of interest in relativistic quantum mechanics and quantum electronics, e. g. in research on infrared soliton lasers.

39. Properties of soliton transmission and coupling in heat lens effect of photorefractive crystal are analyzed.

40. Soliton waves can travel long distances with little loss of energy or structure.

41. The results show that the bigger chirp influence on the stable propagation of optical soliton, is destractive and even more destractive on exceed high-stepping optical soliton having less pulse width.

42. Incoherently coupled dark-dark , bright-bright and bright-dark screening soliton pairs in centrosymmetric photorefractive crystals are possible due photorefractive effect.

43. The broad gain bandwidth can be obtained by selecting the dispersion parameter of DDF. The numerical simulation also shows that fundamental soliton pulses with hi...

44. The influence of optical source chirp on femtosecond soliton interaction is studied numerically, and the unequal amplitude method can reduce the interaction.

45. In this paper, the nonlinear dynamics feature of soliton wave in protein molecular have been studied by means of the quantum theory.

46. The studies on an optical soliton source which is prepared using a gain -switched DFB laser, a F-P optical filter and an Er-doped fiber amplifier are reported.

47. The prominent feature of a double - charge soliton is that its potential double peaks.

48. In this pater, using parametric transform method direct derive soliton wave equation of loss optical fibers and elementary soliton solution.

49. Using the mathematical theory of soliton wave to study the stress wave of an oil pipe, we show that it has the property of soliton wave and obtain an expression of its solution.

50. The results show that only fundamental dark soliton has a frequency jitter half that of bright soliton, and small-amplitude dark soliton has a frequency jitter stronger than that of bright soliton.

51. The spatial shape of a stable screening soliton can be reshaped by adjusting the crystal temperature.

52. Next,[] we numerically modeled this equation in bright soliton case.

53. Especially indicate the relation between projection operation and the soliton solution.

54. The relationship of the ground state, soliton and polaron excitations with the net-charges in doped polyacetylene chains and with the counterion potentials were studied.