Asymptotics of long nonlinear coastal waves in basins with gentle shores

DOI10.1134/s106192084010060MaRDI QIDQ6118412

M. M. Votiakova, D. S. Minenkov, S. Yu. Dobrokhotov

Publication date: 21 March 2024

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Partial differential equations (35-XX) Incompressible inviscid fluids (76Bxx)

Cites Work

Operator separation of variables for adiabatic problems in quantum and wave mechanics
An approach to finding the asymptotics of polynomials given by recurrence relations
Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach
Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems
Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls
Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves
On an elliptic operator degenerating on the boundary
Water waves of finite amplitude on a sloping beach
Edge waves on a gently sloping beach: uniform asymptotics
High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves
Asymptotic Solutions of Differential Equations with Transition Points or Singularities
Edge waves on a sloping beach
Asymptotics of long nonlinear propagating waves in a one-dimensional basin with gentle shores
Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory
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