Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the （2＋1）-dimensional dispersive long wave （DLW） equation are derived. In addition...Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the （2＋1）-dimensional dispersive long wave （DLW） equation are derived. In addition to the usual localized coherent soliton excitations like dromions, rings, peakons and compactions, etc, some new types of excitations that possess fractal behaviour are obtained by introducing appropriate lower-dimensional localized patterns and Jacobian elliptic functions.展开更多
By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolita...By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolitary wave excitation,we obtain some special peakon excitations and fractal dromions in this short note.展开更多
在高分辨率遥感图像分割方法中,分形网络演化算法(fractal net evolution approach,FNEA)是一种经典的影像对象构造方法。但在计算影像对象之间的异质性时,使用根据经验选择的固定权值会导致该算法不能很好地适应不同属性的影像对象分...在高分辨率遥感图像分割方法中,分形网络演化算法(fractal net evolution approach,FNEA)是一种经典的影像对象构造方法。但在计算影像对象之间的异质性时,使用根据经验选择的固定权值会导致该算法不能很好地适应不同属性的影像对象分割。针对这一问题,提出了一种改进的FNEA方法,根据不同影像对象的空间和光谱特征,自适应地计算空间判据权值和紧凑度判据权值,并将不同光谱分量对光谱判据的贡献引入到影像对象之间异质性的计算中。计算机仿真实验结果表明,该文提出的算法对不同属性的影像对象具有很好的适应性,与同类算法相比,图像分割结果得到了较好的改善。展开更多
基金Project supported by the National Natural Science Foundation of China （Grant No 10272071）, the Natural Science Foundation of Zhejiang Province, China （Grant No Y604106） and the Key Academic Discipline of Zhejiang Province, China （Grant No 200412）.The authors would like to thank Professor Zhang J F for his fruitful discussion and helpful suggestion.
文摘Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the （2＋1）-dimensional dispersive long wave （DLW） equation are derived. In addition to the usual localized coherent soliton excitations like dromions, rings, peakons and compactions, etc, some new types of excitations that possess fractal behaviour are obtained by introducing appropriate lower-dimensional localized patterns and Jacobian elliptic functions.
基金The project supported by the Natural Science Foundation of Zhejiang Province under Grant No.Y604106the Natural Science Foundation of Zhejiang Lishui University under Grant No.KZ05010
文摘By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolitary wave excitation,we obtain some special peakon excitations and fractal dromions in this short note.
文摘在高分辨率遥感图像分割方法中,分形网络演化算法(fractal net evolution approach,FNEA)是一种经典的影像对象构造方法。但在计算影像对象之间的异质性时,使用根据经验选择的固定权值会导致该算法不能很好地适应不同属性的影像对象分割。针对这一问题,提出了一种改进的FNEA方法,根据不同影像对象的空间和光谱特征,自适应地计算空间判据权值和紧凑度判据权值,并将不同光谱分量对光谱判据的贡献引入到影像对象之间异质性的计算中。计算机仿真实验结果表明,该文提出的算法对不同属性的影像对象具有很好的适应性,与同类算法相比,图像分割结果得到了较好的改善。
