A horizontally curvilinear non-hydrostatic model for simulating nonlinear wave motion in curved boundaries

2011 ◽  
Vol 69 (12) ◽  
pp. 1923-1938 ◽  
Author(s):  
Doo Yong Choi ◽  
Hengliang Yuan
Keyword(s):  
Nonlinear Wave ◽  
Wave Motion ◽  
Curved Boundaries ◽  
Nonlinear Wave Motion ◽  
Hydrostatic Model

Nonlinear wave motion in a strong potential

Wave Motion ◽  
1991 ◽  
Vol 13 (3) ◽  
pp. 291-302 ◽  
Author(s):  
Joseph B. Keller ◽  
Jacob Rubinstein
Keyword(s):  
Nonlinear Wave ◽  
Wave Motion ◽  
Strong Potential ◽  
Nonlinear Wave Motion

Nonlinear wave motion in magnetoelasticity

1974 ◽  
Vol 55 (2) ◽  
pp. 124-192 ◽  
Author(s):  
J. Bazer ◽  
W. B. Ericson
Keyword(s):  
Nonlinear Wave ◽  
Wave Motion ◽  
Nonlinear Wave Motion

Nonlinear wave motion

1991 ◽  
Vol 10 (2) ◽  
pp. 128
Author(s):  
Waldyr Delima-Silva
Keyword(s):  
Nonlinear Wave ◽  
Wave Motion ◽  
Nonlinear Wave Motion

On the second Painlevé transcendent

1978 ◽  
Vol 361 (1706) ◽  
pp. 277-291 ◽  
Keyword(s):  
Asymptotic Behaviour ◽  
Real Axis ◽  
Nonlinear Wave ◽  
Wave Motion ◽  
Asymptotic Approximations ◽  
Oscillatory Regime ◽  
The Real ◽  
Painlevé Transcendent ◽  
Nonlinear Wave Motion

Numerical and asymptotic approximations to the second Painlevé transcendent, F ± ( z; a ), as determined by the solution of F" – zF ± 2 F 3 = 0 and F ~ a Ai ( z ) ( z ↑ ∞), are presented. The solution for F + is finite for all real z and 0 < a 2 < ∞, but that for F - has at least one pole on the real axis if a 2 > 1. The asymptotic behaviour of F ± in the oscillatory regimé ( – z ± 2F 2 > 0 ), which bears a qualitative resemblance to that of Ai ( z ), is determined for a 2 ≪ 1 and for ± ln (1 ± a 2 ) ≫ 1. The results are relevant for several recent investigations of nonlinear wave motion.

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