| 1. |
An Analytical Model of Periodic Waves in Shallow Water |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 183-220
Harvey Segur,
Allan Finkel,
Preview
|
PDF (4812KB)
|
|
摘要:
An explicit, analytical model is presented of finite‐amplitude waves in shallow water. The waves in question have two independent spatial periods, in two independent horizontal directions. Both short‐crested and long‐crested waves are available from the model. Every wave pattern is an exact solution of the Kadomtsev‐Petviashvili equation, and is based on a Riemann theta function of genus 2. These biperiodic waves are direct generalizations of the well‐known (simply periodic) cnoidal waves. Just as cnoidal waves are often used as one‐dimensional models of “typical” nonlinear, periodic waves in shallow water, these biperiodic waves may be considered to represent “typical” nonlinear, periodic waves in shallow water without the assumption of
ISSN:0022-2526
DOI:10.1002/sapm1985733183
年代:1985
数据来源: WILEY
|
| 2. |
Master Symmetries and Similarity Equations of theXYhModel |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 221-237
E. Barouch,
B. Fuchssteiner,
Preview
|
PDF (770KB)
|
|
摘要:
Master symmetries of theXYhmodel are derived and utilized to establish a matrix difference similarity equation.
ISSN:0022-2526
DOI:10.1002/sapm1985733221
年代:1985
数据来源: WILEY
|
| 3. |
Properties of Successive Sample Moment Estimators |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 239-259
E. Barouch,
S. Chow,
G. M. Kaufman,
T. H. Wright,
Preview
|
PDF (1617KB)
|
|
摘要:
Moment type estimation of characteristics of a successively sampled finite population requires finding a solution to a pair of transcendental equations. Some global properties of two structurally distinct pairs—a symmetric and an asymmetric pair—of such equations are presented. Results of a Monte Carlo experiment designed to compare the performance of estimators computed by solving these transcendental equation pairs are repor
ISSN:0022-2526
DOI:10.1002/sapm1985733239
年代:1985
数据来源: WILEY
|
| 4. |
An Alternative Approach to Nonlinear Instabilities in Hydrodynamics |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 261-267
D. J. Benney,
K. Chow,
Preview
|
PDF (417KB)
|
|
摘要:
The conventional theoretical methods used in the study of nonlinear hydrodynamic instabilities are known to suffer from severe amplitude limitations. In this paper a modified asymptotic theory is developed which is more general and less restrictive. Such an approach may be relevant to many nonlinear instability phenomena.
ISSN:0022-2526
DOI:10.1002/sapm1985733261
年代:1985
数据来源: WILEY
|
| 5. |
Author Index to Volumes 72 and 73 |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 271-272
Preview
|
PDF (35KB)
|
|
ISSN:0022-2526
DOI:10.1002/sapm1985733271
年代:1985
数据来源: WILEY
|
| 6. |
Title Index to Volumes 72 and 73 |
| |
Studies in Applied Mathematics,
Volume 73,
Issue 3,
1985,
Page 273-273
Preview
|
PDF (21KB)
|
|
ISSN:0022-2526
DOI:10.1002/sapm1985733273
年代:1985
数据来源: WILEY
|
首页
