๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New type of travelling wave solutions

โœ Scribed by K. R. Schneider; E. A. Shchepakina; V. A. Sobolev

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
137 KB
Volume
26
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

We study the existence of combustion waves for an autocatalytic reaction in the nonโ€adiabatic case. Based on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly perturbed differential equations the existence of a new type of travelling waves solutions, the soโ€called canard travelling waves. Copyright ยฉ 2003 John Wiley & Sons, Ltd.

๐Ÿ“œ SIMILAR VOLUMES

New exact travelling wave solutions of s
New exact travelling wave solutions of some complex nonlinear equations
โœ Ahmet Bekir ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

## a b s t r a c t In this paper, we establish exact solutions for complex nonlinear equations. The tanh-coth and the sine-cosine methods are used to construct exact periodic and soliton solutions of these equations. Many new families of exact travelling wave solutions of the coupled Higgs and Macc

New travelling wave solutions to the Bou
New travelling wave solutions to the Boussinesq and the Kleinโ€“Gordon equations
โœ Abdul-Majid Wazwaz ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

In this work, many new travelling wave solutions are established for the Boussinesq and the Klein-Gordon equations. The extended tanh method, the rational hyperbolic functions method, and the rational exponential functions method are used to generate these new solutions. The new solutions are bell-s