This paper reviews the nonlinear Schrödinger (NLS) equations and their solutions in the context of water wave modulations. The NLS equations describe the evolution of weakly nonlinear, dispersive wave modulations. The paper discusses the derivation of these equations for water waves of different depths and the conditions under which they reduce to the NLS equation. It also presents various analytical solutions of the NLS equations, including the self-focussing and defocussing NLS equations, and their implications for water wave propagation. The paper describes the self-focussing NLS + equation, which has more than one soliton solution, and the defocussing NLS - equation, which has a single soliton solution. The paper also discusses the Ma soliton, a soliton solution of the NLS + equation that decays to the uniform solution, and the bi-soliton, which is a solution derived from two eigenvalues of equal real parts. The dark soliton, a soliton of the defocussing NLS - equation that decays to a uniform solution, is also discussed. The paper presents several analytical solutions of the NLS equations, including the isolated soliton, the Ma soliton, and the bi-soliton. These solutions are discussed in terms of their implications for water wave propagation. The paper also discusses the periodic solutions of the NLS equations and their relevance to water wave propagation. The paper concludes that the NLS equations are useful for describing the propagation of water waves, but that the self-focussing NLS + equation is more relevant to the propagation of wave fields in water. The paper also notes that the NLS equations are not directly applicable to certain regions of water wave propagation, such as those involving three-dimensional instabilities. However, the NLS equations remain a useful tool for understanding the behavior of water waves.This paper reviews the nonlinear Schrödinger (NLS) equations and their solutions in the context of water wave modulations. The NLS equations describe the evolution of weakly nonlinear, dispersive wave modulations. The paper discusses the derivation of these equations for water waves of different depths and the conditions under which they reduce to the NLS equation. It also presents various analytical solutions of the NLS equations, including the self-focussing and defocussing NLS equations, and their implications for water wave propagation. The paper describes the self-focussing NLS + equation, which has more than one soliton solution, and the defocussing NLS - equation, which has a single soliton solution. The paper also discusses the Ma soliton, a soliton solution of the NLS + equation that decays to the uniform solution, and the bi-soliton, which is a solution derived from two eigenvalues of equal real parts. The dark soliton, a soliton of the defocussing NLS - equation that decays to a uniform solution, is also discussed. The paper presents several analytical solutions of the NLS equations, including the isolated soliton, the Ma soliton, and the bi-soliton. These solutions are discussed in terms of their implications for water wave propagation. The paper also discusses the periodic solutions of the NLS equations and their relevance to water wave propagation. The paper concludes that the NLS equations are useful for describing the propagation of water waves, but that the self-focussing NLS + equation is more relevant to the propagation of wave fields in water. The paper also notes that the NLS equations are not directly applicable to certain regions of water wave propagation, such as those involving three-dimensional instabilities. However, the NLS equations remain a useful tool for understanding the behavior of water waves.