A method is presented for decomposing wave motion into its principle components. The basic idea is a complex generalization of proper orthogonal decomposition. The method involves the representation of real oscillatory signals as complex analytic signals. The relationship between complex modes and wave motion is explored. From an ensemble of complex signals, a complex correlation matrix is form...

in this work, we successfully construct the new exact traveling wave solutions ofthe generalized sinh–gordon equation by new application of the homogeneousbalance method. the idea introduced in this paper can be applied to othernonlinear evolution equations.

Traveling is a pleasant experience. For marketers, the media to promote tourist destinations requires honest recognition from tourists who have visited. Currently, tourism promotion tool can be carried out using place storytelling approach that packaged into travel writing book. This article result of qualitative research primary data source interviewing writers and studying works. Secondary co...

We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a class of periodic advection–reaction–diffusion systems. Under certain conditions, we prove that there exists a maximal wave speed c∗ such that for each wave speed c ≤ c∗, there is a time periodic traveling wave connecting two periodic solutions of the corresponding kinetic system. It is s...

This paper is concerned with Nicholson’s blowflies equation, a kind of time-delayed reaction-diffusion equation. It is known that when the ratio of birth rate coefficient and death rate coefficient satisfies 1 < p d ≤ e, the equation is monotone and possesses monotone traveling wavefronts, which have been intensively studied in previous research. However, when p d > e, the equation losses its m...

The main purpose of this study is to analyze different types information that may have diverse effects on the travel decision-making process. We collected most frequently used words related “Northern European travel” from Korean news sources and blogs, determine whether there were any systematic differences through network text analysis CONCOR analysis. found Koreans are exposed such as “nature...

In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.

On a sweltering summer morning, throngs of people filed into Jones Theatre at Baylor University in Waco for the graduate student orientation. One could look around and notice the diversity of not only the student population, but also the disciplines being represented. Many students had stepped off planes only hours prior, but even those who had been traveling for days could not contain their ex...