TY - JOUR
T1 - New families of travelling wave solutions for Boussinesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation
AU - Gao, Liang
AU - Xu, Wei
AU - Tang, Yaning
AU - Meng, Gaofeng
PY - 2007/7/2
Y1 - 2007/7/2
N2 - In this Letter, Boussinesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation are studied by using a generalized algebraic method. A variety of explicit exact travelling wave solutions, including solitary wave, Jacobi and Weierstrass elliptic function periodic, triangular periodic and rational solutions, are obtained. Many new results are presented. The proposed method can be also extended to construct more new exact travelling wave solutions of some nonlinear evolution equations with variable coefficients in mathematical physics.
AB - In this Letter, Boussinesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation are studied by using a generalized algebraic method. A variety of explicit exact travelling wave solutions, including solitary wave, Jacobi and Weierstrass elliptic function periodic, triangular periodic and rational solutions, are obtained. Many new results are presented. The proposed method can be also extended to construct more new exact travelling wave solutions of some nonlinear evolution equations with variable coefficients in mathematical physics.
KW - (3 + 1)-dimensional Kadomtsev-Petviashvili equation
KW - Boussinesq-Burgers equation
KW - Explicit exact travelling wave solutions
KW - Generalized algebraic method
UR - https://www.scopus.com/pages/publications/34249084684
U2 - 10.1016/j.physleta.2007.02.040
DO - 10.1016/j.physleta.2007.02.040
M3 - 文章
AN - SCOPUS:34249084684
SN - 0375-9601
VL - 366
SP - 411
EP - 421
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4-5
ER -