TY - JOUR
T1 - New exact solutions of (2 + 1)-dimensional Gardner equation via the new sine-Gordon equation expansion method
AU - Chen, Yong
AU - Yan, Zhenya
PY - 2005/10
Y1 - 2005/10
N2 - In this paper, (2 + 1)-dimensional Gardner equation is investigated using a sine-Gordon equation expansion method, which was presented via a generalized sine-Gordon reduction equation and a new transformation. As a consequence, it is shown that the method is more powerful to obtain many types of new doubly periodic solutions of (2 + 1)-dimensional Gardner equation. In particular, solitary wave solutions are also given as simple limits of doubly periodic solutions.
AB - In this paper, (2 + 1)-dimensional Gardner equation is investigated using a sine-Gordon equation expansion method, which was presented via a generalized sine-Gordon reduction equation and a new transformation. As a consequence, it is shown that the method is more powerful to obtain many types of new doubly periodic solutions of (2 + 1)-dimensional Gardner equation. In particular, solitary wave solutions are also given as simple limits of doubly periodic solutions.
UR - https://www.scopus.com/pages/publications/18544375161
U2 - 10.1016/j.chaos.2005.01.004
DO - 10.1016/j.chaos.2005.01.004
M3 - 文章
AN - SCOPUS:18544375161
SN - 0960-0779
VL - 26
SP - 399
EP - 406
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -