(2+1)维变系数广义Kadomtsev-Petviashvili方程的类孤波解  

SOLITON-LIKE SOLUTION FOR THE (2+1)-DIMENSIONAL VARIABLE COEFFICIENT KADOMTSEV-PETVIASHVILI EQUATION

作　　者：陈凤娟[1] 张解放[1] 

机构地区：[1]浙江师范大学数理与信息科学学院,浙江金华321004

出　　处：《兵工学报》2003年第3期389-391,共3页Acta Armamentarii

摘　　要：利用截断展开法研究了 (2 +1)维变系数广义Kadomtsev Petviashvili方程。其基本思想是假定形式解可用某一函数的级数形式表示 ,通过最高导数项和非线性项的幂次平衡 ,得到了它的截断解。这种方法是直接方便的 ,可把求解过程转化为一组待定函数的代数方程组 ,进而给出容易积分的待定函数的常微分方程 。Using the truncated expansion method, solution of (2+1) dimensional variable coefficient Kadomtsev Petviashvili equation was discussed. In this method, the formal solution was presented as the power series of some function. Through balancing the highest differential term and nonlinear term, the truncated solution was obtained. This suggested method is simple and easy, and the complicated calculation is transformed into a set of algebraic equations of undetermined functions, leading easily to the integration of ordinary differential equations of undetermined functions. The soliton like solution to the (2+1) dimensional variable coefficient KP equation can thus be constructed.

关 键 词：广义Kadomtsev-Petviashvili方程 类孤波解 非线性波动方程 截断展开法 偏微分方程 

分 类 号：O241.82[理学—计算数学] O175.29[理学—数学]