Geodesic
A Generalization of the $G'/G$-Expansion Method and Its Application to Jimbo--Miwa Equation
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

Voir la notice de l'article

A generalization of the $G'/G$-expansion method combined with Liu's theorem is proposed to construct exact solutions of the (3+1)-dimensional Jimbo--Miwa equation. As a result, more general travelling wave solutions with parameters are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. Some of the obtained hyperbolic function solutions and trigonometric function solutions contain an explicit external linear function of $\{x,y,z,t\}$. It is shown that the $G'/G$-expansion method with the help of symbolic computation may provide us with a straightforward, effective and alternative mathematical tool for solving nonlinear evolution equations in mathematical physics.
Classification : 35Q99, 83C15 
@article{BMMS_2013_36_3_a12,
     author = {Sheng Zhang},
     title = {A {Generalization} of the $G'/G${-Expansion} {Method} and {Its} {Application} to {Jimbo--Miwa} {Equation}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a12/}
}
TY  - JOUR
AU  - Sheng Zhang
TI  - A Generalization of the $G'/G$-Expansion Method and Its Application to Jimbo--Miwa Equation
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2013
VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a12/
ID  - BMMS_2013_36_3_a12
ER  - 
%0 Journal Article
%A Sheng Zhang
%T A Generalization of the $G'/G$-Expansion Method and Its Application to Jimbo--Miwa Equation
%J Bulletin of the Malaysian Mathematical Society
%D 2013
%V 36
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a12/
%F BMMS_2013_36_3_a12
Sheng Zhang. A Generalization of the $G'/G$-Expansion Method and Its Application to Jimbo--Miwa Equation. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a12/