Bifurcation analysis and solitary-like wave solutions for extended ({{varvec{(2+1)}}})-dimensional Konopelchenko–Dubrovsky equations

In this paper, the bifurcation analysis as well as the sub-equation expansion method will be applied to study the extended ((2+1))-dimensional Konopelchenko–Dubrovsky equations. The bifurcation analysis is first used to obtain the existence of traveling wave solutions. Then via the sub-equation expansion method, some new solitary-like wave solutions for each parameter condition are obtained.