The extended homoclinic test function method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations. In this paper, with the help of this approach, we obtain new exact solutio...The extended homoclinic test function method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations. In this paper, with the help of this approach, we obtain new exact solutions （including kinky periodic solitary-wave solutions, periodic soliton solutions, and cross kink-wave solutions） for the new （2＋1）-dimensional KdV equation. These results enrich the variety of the dynamics of higher-dimensionai nonlinear wave field.展开更多
Painleve integrability has been tested for （2＋1）D Boussinesq equation with disturbance term using the standard WTC approach after introducing the Kruskai＇s simplification. New breather solitary solutions depending...Painleve integrability has been tested for （2＋1）D Boussinesq equation with disturbance term using the standard WTC approach after introducing the Kruskai＇s simplification. New breather solitary solutions depending on constant equilibrium solution are obtained by using Extended Homoclinic Test Method. Moreover, the spatiotemporal feature of breather solitary wave is exhibited.展开更多
基金Supported by the Natural Science Foundation of China under Grant Nos.10361007,10661002Yunnan Natural Science Foundation under Grant No.2006A0082M
文摘The extended homoclinic test function method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations. In this paper, with the help of this approach, we obtain new exact solutions （including kinky periodic solitary-wave solutions, periodic soliton solutions, and cross kink-wave solutions） for the new （2＋1）-dimensional KdV equation. These results enrich the variety of the dynamics of higher-dimensionai nonlinear wave field.
基金Supported by National Natural Science Foundation of China under Grant Nos. 11061028, 11261049, Yunnan Natural Science Foundation under Grant Nos. 2010CD086 and 2011Y012 and Qujing Normal University Natural Science Foundation under Grant Nos. 2009ZD002 and 2012QN016
文摘Painleve integrability has been tested for （2＋1）D Boussinesq equation with disturbance term using the standard WTC approach after introducing the Kruskai＇s simplification. New breather solitary solutions depending on constant equilibrium solution are obtained by using Extended Homoclinic Test Method. Moreover, the spatiotemporal feature of breather solitary wave is exhibited.
