TITLE:
Exact Solutions of Gardner Equations through tanh-coth Method
AUTHORS:
Lin Lin, Shiyong Zhu, Yinkang Xu, Yubing Shi
KEYWORDS:
tanh-coth Method, Gardner Equations, Soliton Solutions
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.18,
December
22,
2016
ABSTRACT: In this paper, we apply the tanh-coth
method and traveling wave transformation method for solving Gardner equations,
including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method
proved to be reliable and effective in handling a large number of nonlinear
dispersive and disperse equations. Through tanh-coth method, we get analytical
expressions of soliton solutions of Gardner equations. The one-soliton solution
is characterized by an infinite wing or infinite tail.