Long-Wave Patterns Influence Research Attitudes

1990 ◽  
pp. 45-52
Author(s):  
Israel Dror
Keyword(s):  
Long Wave ◽  
Wave Patterns

Some Coherent Excitations for the (2+1)-Dimensional Generalized Broer-Kaup System

2006 ◽  
Vol 61 (3-4) ◽  
pp. 116-124
Author(s):  
Zheng-Yi Ma ◽  
Yu-Lu Liu ◽  
Zhi-Ming Lu
Keyword(s):  
Wave Length ◽  
Soliton Solutions ◽  
Elliptic Functions ◽  
Rational Functions ◽  
The Other ◽  
Weierstrass Function ◽  
Spatial Variables ◽  
Multiple Soliton Solutions ◽  
Long Wave ◽  
Wave Patterns

Using a projective Riccati equation, several types of solutions of the (2+1)-dimensional generalized Broer-Kaup system are obtained, including multiple soliton solutions, periodic soliton solutions and Weierstrass function solutions. From these, two sets of wave packets are expressed as rational functions of elliptic functions. Especially, peculiar wave patterns that are localized in one direction but periodic in the other direction arise by taking the long wave length limit in one spatial variable. Also exponentially localized wave patterns, which differ from the known dromions, are obtained by taking the long wave length limit in both spatial variables. The interactions of two dromions with inelastic and elastic behaviors are presented

Designing a Financial Mechanism for a “Technological Breakthrough”. How to “Format” Own Ecosystems so That Other People's Digital Devices and Financiers Should Not “Format” Us

2021 ◽  
Vol 144 (5) ◽  
pp. 36-45
Author(s):  
Dmitrii A. Mityaev ◽  
Keyword(s):  
Institutional Development ◽  
Technological Breakthrough ◽  
Digital Platforms ◽  
Economic Miracle ◽  
Digital Devices ◽  
Long Wave ◽  
Wave Patterns ◽  
Global And Local ◽  
Financial Mechanism ◽  
Macroeconomic Stability

Acceleration of technological and institutional development results in reduced lags between innovations and their installation in the economy and society, which modifies long-wave patterns (but doesn't cancel them). In this regard, the question arises on the possibility of a "Russian economic miracle" on a new financial and digital basis. This is a question about ecosystems (digital platforms — a relatively recent complex financial and production innovation), the prototypes of which, however, have already been in history. Historical studies of protoecosystems and modern ecosystems, addressed by the author, allow us to answer the question: “ecosystem” (convergent) technologies are a factor undermining macroeconomic stability in the interests of a narrow circle of global and local players and (or) a mechanism for changing technological and institutional patterns (?!).

Three-dimensional instabilities of quasi-solitary waves in a falling liquid film

2014 ◽  
Vol 757 ◽  
pp. 854-887 ◽  
Author(s):  
N. Kofman ◽  
S. Mergui ◽  
C. Ruyer-Quil
Keyword(s):  
Travelling Waves ◽  
Three Dimensional ◽  
Water Film ◽  
Short Wave ◽  
Wave Mode ◽  
Long Wave ◽  
Wave Patterns ◽  
Inclination Angles ◽  
Rayleigh Taylor Instability ◽  
The Stability

AbstractThe stability of $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\gamma _2$ travelling waves at the surface of a film flow down an inclined plane is considered experimentally and numerically. These waves are fast, one-humped and quasi-solitary. They undergo a three-dimensional secondary instability if the flow rate (or Reynolds number) is sufficiently high. Rugged or scallop wave patterns are generated by the interplay between a short-wave and a long-wave instability mode. The short-wave mode arises in the capillary region of the wave, with a mechanism of capillary origin which is similar to the Rayleigh–Plateau instability, whereas the long-wave mode deforms the entire wave and is triggered by a Rayleigh–Taylor instability. Rugged waves are observed at relatively small inclination angles. At larger angles, the long-wave mode predominates and scallop waves are observed. For a water film the transition between rugged and scallop waves occurs for an inclination angle around 12°.

On symmetric long-wave patterns in two-layer flows

1997 ◽  
Vol 108 (3) ◽  
pp. 291-314
Author(s):  
B.S. Tilley ◽  
S.H. Davis
Keyword(s):  
Long Wave ◽  
Wave Patterns

Temporal Forcing of Traveling Wave Patterns

1996 ◽  
Vol 6 (11) ◽  
pp. 1417-1434 ◽  
Author(s):  
Joceline Lega ◽  
Jean-Marc Vince
Keyword(s):  
Traveling Wave ◽  
Wave Patterns

World Economic Crisis as a Process of Substitution of Technological Modes

2009 ◽  
pp. 26-38 ◽  
Author(s):  
S. Glaziev
Keyword(s):  
Economic Crisis ◽  
Economic Activity ◽  
Sharp Increase ◽  
Energy Resources ◽  
Long Wave ◽  
The World ◽  
World Economic ◽  
Technological Mode ◽  
World Economic Crisis

The article analyzes fundamental reasons for the world economic crisis in the light of global technological shifts. It proves that it is caused by the substitution of technological modes. It is shown that sharp increase and slump in stock indices and prices for energy resources are typical of the process of technological substitution which occurs regularly according to the rhythm of long-wave fluctuations of the world economic activity. The article rationalizes a package of anti-crisis measures aimed at stimulating the new technological mode. Its structure and role of the locomotive factor of the new long wave of economic growth are revealed.

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