1 Phase error and its periodic wave behavior caused by system's nonlinear response and partial intensity saturation of fringe patterns in projected grating phase-shifting profilometry were studied.

2 The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.

3 In addition to amplitude and wavelength, a periodic wave is characterized by its frequency.

4 We found that some new and interesting complex wave excitations are derived from a periodic wave solution.

5 When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions,[] and kink and anti-kink wave solutions are proved.

6 Two kinds of methods for solving localization factor are given. As examples, localization factors of ordered and disordered periodic wave guides are respectively calculated and discussed.

7 The result shows that the price of asset is a periodic wave.

8 Be this kind of relation and its motion , brought about the periodic wave motion of real economy.

9 The existence of smooth solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions has then proved.

10 In this paper, based on the method of wave transfer matrix, elastic wave localization in periodic wave guide is studied.

11 Under various parameter conditions, all exact explicit formulas of solitary wave solutions and kink (anti-kink) wave solutions and uncountable infinity many periodic wave solutions are listed.

12 The method and results in this paper for solving the problem of wave and vibration mode localization in periodic wave guide can be used in the optimum design of such kind of structure.

13 A wave that repeats, like the one above, is called a periodic wave.

14 No matter from the wave type structure, space, time, speed, all the signs are that, large periodic wave two adjustment will end.

15 By the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained.

16 Since reforming and opening, the economy of our country grows process system to reveal a few main features of growth periodic wave motion.

17 Whittle has also managed to tease out the fundamental (a physics term that describes a component of lowest frequency of a periodic wave) and harmonics of the big bang.