title: Some new traveling wave exact solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli equations.
abstract: We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2 (z) and simply periodic solutions us,2-6(z) which are not only new but also not degenerated successively by the elliptic function solutions. We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.
authors.affiliation: Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China.
authors.forename: Jian-ming
authors.initials: JM
authors.lastname: Qi
authors.affiliation: Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China.
authors.forename: Fu
authors.initials: F
authors.lastname: Zhang
authors.affiliation: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China.
authors.forename: Wen-jun
authors.initials: WJ
authors.lastname: Yuan
authors.affiliation: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China.
authors.forename: Zi-feng
authors.initials: ZF
authors.lastname: Huang
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical