Tappert transformation in nonlinear wave theory

2019 ◽  
Author(s):  
Vladimir N. Serkin ◽  
T.L. Belyaeva ◽  
G. H. Corro ◽  
L. Morales-Lara ◽  
R. Pe\~{n}a-Moreno ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory

Constant-intensity approximation in a nonlinear wave theory

2001 ◽  
Vol 3 (3) ◽  
pp. 84-87 ◽  
Author(s):  
Z H Tagiev ◽  
R J Kasumova ◽  
R A Salmanova ◽  
N V Kerimova
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory ◽  
Constant Intensity

Crest-Height Distribution in Nonlinear Random Wave

2009 ◽  
Author(s):  
Cuilin Li ◽  
Dingyong Yu ◽  
Yangyang Gao ◽  
Junxian Yang
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory ◽  
Distribution Functions ◽  
Theoretical Distribution ◽  
Distribution Model ◽  
Stokes Wave ◽  
Wave Crest ◽  
Linear Wave ◽  
Height Distribution ◽  
Crest Height

Many empirical and theoretical distribution functions for wave crest heights have been proposed, but there is a lack of agreement. With the development of ocean exploitation, waves crest heights represent a key point in the design of coastal structures, both fixed and floating, for shoreline protection and flood prevention. Waves crest height is the dominant parameter in assessing the likelihood of wave-in-deck impact and its resulting severe damage. Unlike wave heights, wave crests generally appear to be affected by nonlinearities; therefore, linear wave theory could not be satisfied to practical application. It is great significant to estimate a new nonlinear wave crest height distribution model correctly. This paper derives an approximation distribution formula based on Stokes wave theory. The resulting theoretical forms for nonlinear wave crest are compared with observed data and discussed in detail. The results are shown to be in good agreement. Furthermore, the results indicate that the new theoretical distribution has more accurate than other methods presented in this paper (e.g. Rayleigh distribution and Weibull distribution) and appears to have a greater range of applicability.

scholarly journals Numerical modeling of nearshore currents based on a nonlinear wave theory.

1986 ◽  
pp. 185-194
Author(s):  
Masataka YAMAGUCHI ◽  
Kohji HOSONO ◽  
Hiromitsu KAWAHARA
Keyword(s):  
Numerical Modeling ◽  
Nonlinear Wave ◽  
Wave Theory ◽  
Nearshore Currents

Control of Complex Distillation Configurations Using a Nonlinear Wave Theory

1994 ◽  
Vol 27 (2) ◽  
pp. 419-425
Author(s):  
Myungwan Han ◽  
Sun won Park
Keyword(s):  
Nonlinear Wave ◽  
Wave Theory

Control of high-purity distillation column using a nonlinear wave theory

AIChE Journal ◽  
1993 ◽  
Vol 39 (5) ◽  
pp. 787-796 ◽  
Author(s):  
Myungwan Han ◽  
Sunwon Park
Keyword(s):  
Nonlinear Wave ◽  
High Purity ◽  
Distillation Column ◽  
Wave Theory

Some Reductive Methods for Nonlinear Waves in an Elastic Cylinder and a Channel Containing a Two-Layer Fluid

1986 ◽  
Vol 41 (10) ◽  
pp. 1186-1194
Author(s):  
K. Murawski
Keyword(s):  
Wave Propagation ◽  
Nonlinear Wave ◽  
Nonlinear Waves ◽  
Wave Theory ◽  
Elastic Cylinder ◽  
Thin Wall ◽  
Derivative Expansion ◽  
Model Equations

A nonlinear wave theory is developed to review the reductive Taniuti-Wei, the derivative expansion, and the rays methods. Model equations describing wave propagation in a fluid-filled cylinder with a thin wall of elastic rings and a channel containing a two-layer fluid are derived via these methods.

Similarities and exact solutions of transonic gas flow model

2020 ◽  
Vol 34 (32) ◽  
pp. 2050363
Author(s):  
Zehra Pinar
Keyword(s):  
Steady State ◽  
Exact Solutions ◽  
Nonlinear Wave ◽  
Gas Flow ◽  
Flow Model ◽  
Wave Theory ◽  
Analysis Method ◽  
Classical Symmetry ◽  
Nonlinear Acoustic ◽  
Similarity Reductions

In this work, one of the important models in nonlinear wave theory and also in nonlinear acoustic, the Lin–Reissner–Tsien (LRT) equation is considered. For the homogeneous form of LRT equation, the exact solutions are obtained. For steady and non-steady state forms of the LRT equation with force terms, similarity reductions are obtained via the classical symmetry analysis method. Both of the considered problems are not seen in the literature. The results obtained in this paper are new solutions and believed to have a major role in the development of the model.

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