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Hot Dust Acoustic Solitary Waves in Dust Plasma with Variable Dust Charge

Chinese Physics letters 2001年第8期18卷 1088-1089页

作者： DUAN Wen-Shan lü ke-pu ZHAO Jin-Bao Department of Physics Northwest Normal UniversityLanzhou 730070

Considering the variation of dust charges,We have analytically studied the governing equation for the system with the same model as that for cold dust acoustic waves in a demagnetized plasma but the contribution of hot *** result indicates that the governing equation is also a Korteweg-de Vries equaiton,although its amplitude and width will be smaller compared with the cold dust case.

关键词： equation governing charges

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New Modified Jacobi Elliptic Function Expansion Method and Its Application to （3＋1）-Dimensional KP Equation

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Communications in Theoretical Physics 2006年第6期45卷 1063-1068页

作者： DOU Fu-Quan SUN Jian-An DUAN Wen-Shan SHI Yu-Ren lü ke-pu HONG Xue-Ren College of Physics and Electronics Engineering Northwest Normal University Lanzhou 730070 China

With the aid of computerized symbolic computation, the new modified Jacobi elliptic function expansion method for constructing exact periodic solutions of nonlinear mathematical physics equation is presented by a new general ansatz. The proposed method is more powerful than most of the existing methods. By use of the method, we not only can successfully recover the previously known formal solutions but also can construct new and more general formal solutions for some nonlinear evolution equations. We choose the （3＋1）-dimensional Kadomtsev-Petviashvili equation to illustrate our method. As a result, twenty families of periodic solutions are obtained. Of course, more solitary wave solutions, shock wave solutions or triangular function formal solutions can be obtained at their limit condition.

关键词： MJEFE method KP equation periodic solutions solitary wave solutions

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非线性演化方程孤立波的同伦分析法求解

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物理学报 2007年第6期56卷 3064-3069页

作者：杨红娟石玉仁段文山吕克璞西北师范大学物理与电子工程学院兰州730070

利用同伦分析法求解了Burgers方程,得到了其扭结形孤立波的近似解析解,该解非常接近于相应的精确解.结果表明,同伦分析法可用来求解非线性演化方程的孤立波解.同时,也对所用方法进行了一定扩展,得到了Kadomtsev-Petviashvili(KP)方程的... 详细信息

利用同伦分析法求解了Burgers方程,得到了其扭结形孤立波的近似解析解,该解非常接近于相应的精确解.结果表明,同伦分析法可用来求解非线性演化方程的孤立波解.同时,也对所用方法进行了一定扩展,得到了Kadomtsev-Petviashvili(KP)方程的钟形孤立子解.经过扩展后的方法能够更方便地用于求解更多非线性演化方程的高精度近似解析解.

关键词： Burgers方程同伦分析法 KP方程孤立波解

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