@article{Sedletsky_2021, title={A Fifth-Order Nonlinear Schrödinger Equation for Waves on the Surface of Finite-Depth Fluid}, volume={66}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019443}, DOI={10.15407/ujpe66.1.41}, abstractNote={<p>We derive a high-order nonlinear Schr¨odinger equation with fifth-order nonlinearity for the envelope of waves on the surface of a finite-depth irrotational, inviscid, and incompressible fluid over the flat bottom. This equation includes the fourth-order dispersion, cubic-quintic nonlinearity, and cubic nonlinear dispersion effects. The coefficients of this equation are given as functions of one dimensionless parameter kℎ, where k is the carrier wave number, and ℎ is the undisturbed fluid depth. These coefficients stay bounded in the infinite-depth limit.</p>}, number={1}, journal={Ukrainian Journal of Physics}, author={Sedletsky, Yu.V.}, year={2021}, month={Jan.}, pages={41} }