Skip to main content
padlock icon - secure page this page is secure

An Analytical Model of Periodic Waves in Shallow Water

Buy Article:

$52.00 + tax (Refund Policy)

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 one‐dimensionality.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Affiliations: Aeronautical Research Associates of Princeton, Inc. Thomas Watson Research Center, IBM

Publication date: December 1, 1985

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more