Compact and noncompact solutions for the BBM\((n,n)\) equation. (English) Zbl 1067.35022
Summary: Special type of the Benjamin-Bona-Mahony equation BBM\((n,n)\) is studied for compact and noncompact solutions. The sine-cosine method features a variety of exact travelling wave solutions for this equation. The obtained solutions include compactons, solitons, solitary patterns, and periodic solutions.
MSC:
35C05 | Solutions to PDEs in closed form |
35Q53 | KdV equations (Korteweg-de Vries equations) |
35Q51 | Soliton equations |
35B10 | Periodic solutions to PDEs |