22 citations · 29 across the 6 of their papers we have counts for
7 papers
Surface Water Wave Scattering and the Hydrotope
Nima Arkani-Hamed, Francesco Calisto, Nail Ussembayev +2
We study the classical tree-level scattering amplitudes of deep-water surface gravity waves using the methods of high-energy physics. For scattering in one horizontal dimension and…
Exact solution for progressive gravity waves on the surface of a deep fluid
Nail S. Ussembayev
Gerstner or trochoidal wave is the only known exact solution of the Euler equations for periodic surface gravity waves on deep water. In this Letter we utilize Zakharov's variation…
Non-interacting gravity waves on the surface of a deep fluid
Nail S. Ussembayev
We study the interaction of gravity waves on the surface of an infinitely deep ideal fluid. Starting from Zakharov's variational formulation for water waves we derive an expansion…
Plane-wave analysis of a hyperbolic system of equations with relaxation in
Maarten V. de Hoop, Jian-Guo Liu, Peter A. Markowich +1
We consider a multi-dimensional scalar wave equation with memory corresponding to the viscoelastic material described by a generalized Zener model. We deduce that this relaxation s…
Isospectral Potentials from Modified Factorization
Micheal S. Berger, Nail S. Ussembayev
Factorization of quantum mechanical potentials has a long history extending back to the earliest days of the subject. In the present paper, the non-uniqueness of the factorization…
Second-order Supersymmetric Operators and Excited States
Micheal S. Berger, Nail S. Ussembayev
Factorization of quantum mechanical Hamiltonians has been a useful technique for some time. This procedure has been given an elegant description by supersymmetric quantum mechanics…
Young's Inequality and Fermat's Last Theorem
Nail Ussembayev
This paper has been withdrawn by the author for further investigation.