New periodic wave solutions, localized excitations and their interaction for 2+1-dimensional Burgers equation

摘要: Based on the Backlund method and multilinear variable separation approach (MLVSA), this paper nds a general solution including two arbitrary functions for (2+1)-dimensional Burgers equations. Then class of new doubly periodic wave solutions equations is obtained by introducing appropriate Jacobi elliptic functions, Weierstrass their combination in (which contains functions). Two types limit cases are considered. Firstly, taking one moduli to be unity other zero, it obtains particular (called semi-localized) patterns, which direction, but localized direction. Secondly, if both tending 1 as limit, derives some novel excitations (two-dromion solution).