1992•Journal of Physics A Mathematical and GeneralOpen access

Solitons in a nonlinear model medium

Vyacheslav O. Vakhnenko

Abstract

The periodic stationary solutions of a model nonlinear evolution equation simulating the propagation of short-wave perturbations in a relaxing medium are studied. Solutions expressed by a multiple-valued function are shown to exist. A method for determining the nonlinear interaction between solitary waves is suggested. An example of a collision of solitons is given.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 164 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Nonlinear system, Collision, Physics, Function (biology), Classical mechanics, Nonlinear model, Mathematical analysis, Mechanics