The double elliptic equation method is presented for constructing exact traveling wave solutions of nonlinear partial differential equations. With the aid of Maple, more new exact solutions are obtained for the -dimensional sinh-Gordon equation. These solutions contain logarithmic functions, Jacobi elliptic functions, hyperbolic functions, trigonometric functions, and their combinations.
REFERENCES
1.
C. S.
Gardner
, J. M.
Greene
, M. D.
Kruskal
, and R. M.
Miura
, Phys. Rev. Lett.
19
, 1095
(1967
)..2.
3.
J.
Weiss
, M.
Tabor
, and G.
Garnevale
, J. Math. Phys.
24
, 522
(1983
).4.
M. L.
Wang
, Y. B.
Zhou
, and Z. B.
Li
, Phys. Rev. A 216, 67
(1996
).5.
6.
C.
Yan
, Phys. Lett. A
224
, 77
(1996
).7.
Z. T.
Fu
, S. K.
Liu
, S. D.
Liu
, and Q.
Zhao
, Phys. Lett. A
290
, 72
(2001
).8.
H. T.
Chen
and H. Q.
Zhang
, Chaos, Solitons Fractals
15
, 585
(2003
).9.
10.
11.
Y.
Chen
, Q.
Wang
, and B.
Li
, Chaos, Solitons Fractals
26
, 231
(2005
).12.
13.
14.
15.
16.
© 2007 American Institute of Physics.
2007
American Institute of Physics
You do not currently have access to this content.