TY - JOUR
T1 - The extended first kind elliptic sub-equation method and its application to the generalized reaction Duffing model
AU - Huang, Ding Jiang
AU - Zhang, Hong Qing
PY - 2005/9/5
Y1 - 2005/9/5
N2 - In this Letter, an extended first kind elliptic sub-equation method and its algorithm are proposed by studying a first order nonlinear ordinary differential equation with a sixth-degree nonlinear term. Being concise and straightforward, the method is applied to the generalized reaction Duffing model. As a consequence, more types of exact travelling wave solutions are obtained which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions and singular solutions. The method can be also extended to many other nonlinear wave equations.
AB - In this Letter, an extended first kind elliptic sub-equation method and its algorithm are proposed by studying a first order nonlinear ordinary differential equation with a sixth-degree nonlinear term. Being concise and straightforward, the method is applied to the generalized reaction Duffing model. As a consequence, more types of exact travelling wave solutions are obtained which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions and singular solutions. The method can be also extended to many other nonlinear wave equations.
KW - Extended first kind elliptic sub-equation method
KW - Generalized reaction Duffing model
KW - Nonlinear wave equation
KW - Solitary wave solution
KW - Triangular periodic wave solution
UR - https://www.scopus.com/pages/publications/24044500035
U2 - 10.1016/j.physleta.2005.06.070
DO - 10.1016/j.physleta.2005.06.070
M3 - 文章
AN - SCOPUS:24044500035
SN - 0375-9601
VL - 344
SP - 229
EP - 237
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 2-4
ER -