欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
应用Painleve分析法研究了广义变系数Burgers-Kadomtsev-Petviashvili （BKP）方程。结果显示该方程不具有Painleve性质。 通过截断Painleve展开方法，在条件f（t）=cg（t）（c为任意常数）下, 得到了该方程的自Bcklund变换。基于自Bcklund变换， 给出了一些新的解析解如多孤子解和周期解。
英文摘要：
The generalized variable-coefficient Burgers-Kadomtsev-Petviashvili （BKP） equation was investigated employing the Painleve analysis technique. It showed that the equation does not possess the Painleve property. Via the truncated Painleve expansion method and under the condition f（t）=cg（t） （c is a constant）, an auto-Bcklund transformation for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation was derived. Based on the obtained auto-Bcklund transformation, some novel exact analytic solutions were given, including multiple soliton and periodic solutions.
同期刊论文项目
同项目期刊论文
Backlund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schro
Elastic interaction and conservation laws for the nonlinear self-dual network equation in electric c
Multiple soliton solutions and fusion interaction phenomena for the (2+1)-dimensional modified dispe
N-fold Darboux transformation and explicit solutions in terms of the determinant for the three-field
Darboux transformation and soliton solutions for the (2+1)-dimensional generalization of shallow wat
The N-soliton solution of extended Korteweg-de Vries equation and SAR image simulation of internal s
Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petvi
An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conserva
Integrable aspects and soliton interaction for a generalized inhomogeneous Gardner model with extern
Painleve analysis and new analytic solutions for (1+1)-dimensional higher-order Broer-Kaup system wi
期刊信息
位置：