A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles

@article{Groves2004APO,
  title={A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles},
  author={Mark D. Groves and Bj{\"o}rn Sandstede},
  journal={J. Nonlinear Science},
  year={2004},
  volume={14},
  pages={297-340}
}
This article presents a rigorous existence theory for three-dimensional gravity-capillary water waves which are uniformly translating and periodic in one spatial direction x and have the profile of a unior multipulse solitary wave in the other z. The waves are detected using a combination of Hamiltonian spatial dynamics and homoclinic Lyapunov-Schmidt theory. The hydrodynamic problem is formulated as an infinite-dimensional Hamiltonian system in whichz is the time-like variable, and a family of… CONTINUE READING