Title

Solutions To A Novel Casimir Equation For The Ito System

Keywords

Ito system; nonlinear wave equation; self-similar solutions; travelling waves

Abstract

We discuss two classes of solutions to a novel Casimir equation associated with the Ito system, a coupled nonlinear wave equation. Both travelling wave solutions and separable self-similar solutions are discussed. In a number of cases, explicit exact solutions are found. Such results, particularly the exact solutions, are useful in that they provide us a baseline of comparison to any numerical simulations. Besides, such solutions provide us a glimpse of the behavior of the Ito system, and hence the behavior of a type of nonlinear wave equation, for certain parameter regimes. © 2011 Chinese Physical Society and IOP Publishing Ltd.

Publication Date

11-1-2011

Publication Title

Communications in Theoretical Physics

Volume

56

Issue

5

Number of Pages

801-804

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0253-6102/56/5/02

Socpus ID

81555228387 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/81555228387

This document is currently not available here.

Share

COinS