Year: 2016
Type: preprint
Abstract: A nonlinear coupled Choi-Camassa model describing one-dimensional incompressible motion of two non-mixing fluid layers in a horizontal channel has been derived in Ref.1. An equivalence transformation is presented, leading to a special dimensionless form of the system, with the number of constant physical parameters reduced from five to one. A first-order dimensionless ordinary differential equation describing traveling wave solutions is analyzed. Several multi-parameter families of exact closed-form solutions of the Choi-Camassa model are obtained, describing periodic, solitary, and kink-type bidirectional traveling waves.
Source: arXiv (Cornell University)
Author: Cheviakov, Alexei F.
Institution: University of Saskatchewan
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2289615757