1994arXiv (Cornell University)Open access

KdV shock-like waves as invariant solutions of KdV equation symmetries

V. R. Kudashev

Open full text 2 citations

Abstract

We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.

Open-access reader

About this research paper

What this paper is about

We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.

Why it matters

OpenAlex reports 2 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

We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.

Key concepts: Korteweg–de Vries equation, Homogeneous space, Invariant (physics), Shock wave, Mathematical physics, Physics, Mathematics, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
KdV shock-like waves as invariant solutions of KdV equation symmetries — Research Paper | ScholarLens