TY - JOUR
T1 - Exact wave solutions for a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation
AU - Li, Wei
AU - Zhang, Yan
AU - Liu, Yinping
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/6/15
Y1 - 2019/6/15
N2 - In this work, we investigate a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation. Based on the simplified Hirota bilinear method, we first construct its soliton solutions. Meanwhile, we correct the formula of N-soliton solution for this equation. On the basis of these solitons we further calculate its lump solutions, periodic waves. Meanwhile, rogue waves as well as interaction solutions of this equation are also obtained by a direct algebraic method. Some figures are given to display the behavior of these solutions.
AB - In this work, we investigate a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation. Based on the simplified Hirota bilinear method, we first construct its soliton solutions. Meanwhile, we correct the formula of N-soliton solution for this equation. On the basis of these solitons we further calculate its lump solutions, periodic waves. Meanwhile, rogue waves as well as interaction solutions of this equation are also obtained by a direct algebraic method. Some figures are given to display the behavior of these solutions.
KW - (3+1)-dimensional generalized BKP equation
KW - Hirota bilinear method
KW - Interaction solutions
KW - Lump solutions
KW - Periodic solutions
KW - Rogue wave solutions
UR - https://www.scopus.com/pages/publications/85061838946
U2 - 10.1016/j.camwa.2019.01.027
DO - 10.1016/j.camwa.2019.01.027
M3 - 文章
AN - SCOPUS:85061838946
SN - 0898-1221
VL - 77
SP - 3087
EP - 3101
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 12
ER -