A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water

✍ Scribed by Karsten Trulsen; Kristian B Dysthe

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 604 KB
• Volume: 24
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(96)00020-0

✦ Synopsis

The modified nonlinear Schrijdinger equation of Dysthe [Proc. Roy. Sot. Land. Sex A, 369, 105-114 (1979)] is extended by relaxing the narrow bandwidth constraint to make it more suitable for application to a realistic ocean wave spectrum. The new equation limits the bandwidth of unstable wave number perturbations of a Stokes wave in good agreement with the exact results of McLean et al. [Phys. Rev. Lett. 46,817-820 (1981)]. Results are presented for the parametric bifurcation boundary between collinear and oblique most unstable side band perturbations of a Stokes wave.