Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation
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.
scientific article; zbMATH DE number 6173412