Corpus ID: 99220331

THECORRESPONDENCEBETWEENTRAVELLING-WAVESOLUTIONS OFANONLINEARREACTION-CONVECTION-DIFFUSIONEQUATION ANDANINTEGRALEQUATION

@inproceedings{Gilding1996THECORRESPONDENCEBETWEENTRAVELLING,
  title={THECORRESPONDENCEBETWEENTRAVELLING-WAVESOLUTIONS OFANONLINEARREACTION-CONVECTION-DIFFUSIONEQUATION ANDANINTEGRALEQUATION},
  author={Brian H. Gilding and L. A. Peletier},
  year={1996}
}
Thisarticleisconcernedwithtravelling-wavesolutionsofthenonlinearreaction- convection-di↵usionequation u t =(a(u)) xx +(b(u)) x +c(u) inwhichsubscriptsdenotepartialdi↵erentiation.Thecoecientsa,bandcaresupposedto bedefinedinsomeclosedrealintervalwithinfimum0andsupremum`,0<`1.Thesearch isfornontrivialtravelling-wavesolutionsoftheformu(x,t)=f(xt)wheredenotesthe wavespeed.Specifically,solutionsofthistype,wherefisdefinedandnonincreasingon(0,1) withf(⇠)!0as⇠!1,andwherefisdefinedandnonincreasingon(1,1… Expand