World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×
Spring Sale: Get 35% off with a min. purchase of 2 titles. Use code SPRING35. Valid till 31st Mar 2025.

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
https://doi.org/10.1142/9789812569196_0014Cited by:0 (Source: Crossref)
Abstract:

The following sections are included:

  • Background

  • Fourier Formulation

  • Multiple Time Scales

  • Conditions for Quartet Resonance

  • Simple Solutions

  • Interaction of Two Waves

  • Interaction of Four Waves (Quartet Interaction)

    • Reduction to One Unknown

    • Solution for Periodic Envelopes

  • The Cubic Schrödinger Equation

  • Benjamin–Feir Instability of Stokes Waves

  • Kinetic Equation of Hasselmann

  • Extensions

  • Appendix 14.A Details of Derivation

    • Appendix 14.A.1 Fourier Transforms of the Free Surface Conditions

    • Appendix 14.A.2 Surface Properties for Waves of Small Steepness

    • Appendix 14.A.3 Inverting (14.2.9) by Iteration

  • Appendix 14.B Kernels