New applications of the singular manifold method to the (2 + 1)-dimensional Burgers equations
作者:
Highlights:
•
摘要
New applications of the singular manifold method are presented to a (2 + 1)-dimensional Burgers equation and a higher-order Burgers equation. By choosing different seed solutions, auto-Bäcklund transformations, Cole–Hopf transformations and general functional separation solutions containing three arbitrary functions are obtained for the equations in question. Localized coherent structures are for the first time expressed by Jacobi elliptic functions (not infinite periodic limit). And their interaction properties are numerically studied.
论文关键词:The (2 + 1)-dimensional Burgers equations,Functional separation solutions,The singular manifold method
论文评审过程:Available online 14 July 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.06.025