This paper reviews the solutions of nonlinear Schrödinger (NLS) equations in the context of water waves. The author describes the equations governing the modulation of weakly nonlinear water waves, which are coupled with wave-induced mean flows except in deep water. The NLS equations are derived from the work of Davey and Stewartson and Dysthe, and several cases where these equations reduce to one-dimensional NLS equations are discussed. Several analytical solutions of the NLS equations are presented, including a new "rational" solution describing an isolated amplitude peak in space-time. The Ma soliton, which is relevant to the recurrence of uniform wave trains in experiments, is highlighted. The paper also discusses the stability of water waves to three-dimensional disturbances and the potential of two-dimensional NLS equations for describing ocean wave propagation. The solutions of the NLS equations are used to analyze the behavior of water waves, such as the isolated soliton, Ma soliton, bi-soliton, and dark soliton, and their implications for wave propagation are discussed. The paper concludes by emphasizing the importance of understanding the solutions of the NLS equations in the context of ocean wave propagation and the challenges posed by three-dimensional instabilities.This paper reviews the solutions of nonlinear Schrödinger (NLS) equations in the context of water waves. The author describes the equations governing the modulation of weakly nonlinear water waves, which are coupled with wave-induced mean flows except in deep water. The NLS equations are derived from the work of Davey and Stewartson and Dysthe, and several cases where these equations reduce to one-dimensional NLS equations are discussed. Several analytical solutions of the NLS equations are presented, including a new "rational" solution describing an isolated amplitude peak in space-time. The Ma soliton, which is relevant to the recurrence of uniform wave trains in experiments, is highlighted. The paper also discusses the stability of water waves to three-dimensional disturbances and the potential of two-dimensional NLS equations for describing ocean wave propagation. The solutions of the NLS equations are used to analyze the behavior of water waves, such as the isolated soliton, Ma soliton, bi-soliton, and dark soliton, and their implications for wave propagation are discussed. The paper concludes by emphasizing the importance of understanding the solutions of the NLS equations in the context of ocean wave propagation and the challenges posed by three-dimensional instabilities.