Nonlinear dispersive ZK(n, n) equations: New compacton solutions and solitary pattern solutions

摘要

The (2 + 1) dimensional nonlinear dispersive ZK(n, n) equationsut+a(un)x+b(un)xxx+k(un)yyx=0(b>0,k>0,a≠0,n≠±1,0)are investigated again by using the extended sine–cosine method. Some new solutions such as compact solutions, solitary pattern solutions, solitary wave and periodic wave solutions are constructed.