Fourth-order coupled nonlinear Schrodinger equations for gravity waves on deep water

作者：Gramstad Odin^*; Trulsen Karsten

来源：Physics of Fluids, 2011, 23(6): 062102.

DOI：10.1063/1.3598316

• flow instability
• gravity waves
• nonlinear differential equations
• Schrodinger equation
• water waves

We derive a set of two fourth-order coupled nonlinear Schrodinger equations describing the evolution of two two-dimensional systems of deep-water gravity waves with different wavenumbers or directions of propagation. It is shown that the coupled equations can be formulated as a Hamiltonian system and that they conserve the total wave action and momentum of the combined wave field. The modulational instability of two interacting uniform wave trains is considered.

• 出版日期2011-6