Fourth-order coupled nonlinear Schr?dinger equations for gravity waves on deep water

Gramstad O.; Trulsen K.

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Fourth-order coupled nonlinear Schr?dinger equations for gravity waves on deep water

机译：深水重力波的四阶耦合非线性薛定ding方程

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We derive a set of two fourth-order coupled nonlinear Schr?dinger 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.

机译：我们推导了一组两个四阶耦合的非线性薛定ding方程，描述了具有不同波数或传播方向的深水重力波的两个二维系统的演化。结果表明，耦合方程可以用哈密顿系统表示，并且保留了总的波作用和组合波场的动量。考虑了两个相互作用的均匀波列的调制不稳定性。

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《Physics of fluids》 |2011年第6期|共9页
作者
Gramstad O.; Trulsen K.;
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正文语种 eng
中图分类流体力学;
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1. Fourth-order coupled nonlinear Schr?dinger equations for gravity waves on deep water [J] . Gramstad O., Trulsen K. Physics of fluids . 2011,第6期

机译：深水重力波的四阶耦合非线性薛定ding方程
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3. Fourth-order nonlinear evolution equations for a capillary-gravity wave packet in the presence of another wave packet in deep water [J] . Debsarma S, Das KP Physics of fluids . 2007,第9期

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4. The trigonometric function transform method and its application for solving coupled nonlinear schrödinger equations [C] . DongBo, LiuXian Pan, Yan JiaRen 2010 International Conference on Computer Application and System Modeling . 2010

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Fourth-order coupled nonlinear Schr?dinger equations for gravity waves on deep water

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