Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation (Q1954970)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation |
scientific article; zbMATH DE number 6173412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation |
scientific article; zbMATH DE number 6173412 |
Statements
Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation (English)
0 references
11 June 2013
0 references
Summary: We study the bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation. We show all the explicit bifurcation parametric conditions and all possible phase portraits of the system. Especially, the explicit conditions, under which there exist kink (or antikink) solutions, are given. Additionally, not only solitons and kink (antikink) solutions, but also peakons and periodic cusp waves with explicit expressions, are obtained.
0 references
0 references
0 references
0 references
