共查询到19条相似文献,搜索用时 31 毫秒
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(2+1)维破裂孤子方程的新多孤子解 总被引:8,自引:2,他引:8
Hirota双线性方法是一种非常有效的直接方法,使得求解非线性演化方程的多孤子解转化为 代数求解.将这一方法进一步拓展,求得了(2+1)维破裂孤子方程的新多孤子解.关键词:双线性方法多孤子解(2+1)维破裂孤子方程 相似文献
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(2+1)维色散长波方程的新的类孤子解 总被引:14,自引:0,他引:14
应用一种新的修改的代数方法去求解(2+1)维色散长波方程,获得方程的大量新的精确解.这些解包括类孤子解、类周期解、类有理解、类双曲函数解、类Jacobi椭圆函数解等等.关键词:(2+1)维色散长波方程类孤子解类有理解类双曲函数解类Jacobi椭圆 函数解 相似文献
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含外力项的广义KdV方程的类孤子解 总被引:5,自引:1,他引:5
本文利用广义KP方程的B?cklund变换,获得了含外力项的广义KdV方程ut+6uux+uxxx+6f(t)u=g(t)+x(f′+12f2) (1)的类孤子解。关键词: 相似文献
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为了构造高维非线性发展方程的无穷序列类孤子新解, 研究了二阶常系数齐次线性常微分方程, 获得了新结论. 步骤一, 给出一种函数变换把二阶常系数齐次线性常微分方程的求解问题转化为一元二次方 程和Riccati方程的求解问题. 在此基础上, 利用Riccati方程解的非线性叠加公式, 获得了二阶常系数齐次线性常微分方程的无穷序列新解. 步骤二, 利用以上得到的结论与符号计算系统Mathematica, 构造了(2+1)维广义Calogero-Bogoyavlenskii-Schiff (GCBS)方程的无穷序列类孤子新解.关键词:常微分方程非线性叠加公式高维非线性发展方程无穷序列类孤子新解 相似文献
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(2+1)维耗散长波方程与(2+1)维Broer-Kaup方程新的类多孤子解 总被引:12,自引:0,他引:12
进一步拓广齐次平衡法的应用,并对关键的操作步骤进行了改进,从而简便地求出了(2+1 )维耗散长波方程和(2+1)维Broer-Kaup方程新的类多孤子解-这种解更具有一般性,它包 含着已有文献给出的类多孤子解-关键词:齐次平衡法类多孤子解(2+1)维耗散长波方程(2+1)维Broer-Kaup方程 相似文献
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(2+1)维Konopelchenko-Dubrovsky方程新的多孤子解 总被引:1,自引:0,他引:1
利用齐次平衡方法,将(2+1)维Konopelchenko-Dubrovsky方程转化为两个变量分离的线性偏微分方程,然后采用三种不同的函数假设,得到相应的常系数微分方程,通过求解特征方程,方便地构造出Konopelchenko-Dubrovsky方程新的多孤子解. 相似文献
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本文为获得非线性发展方程的相互作用解,研究了辅助方程法,并扩展应用辅助方程法和(G'/G)展开法, 获得了变系数非线性(2+1)维Nizhnik-Novikov-Vesselov方程的由椭圆函数、双曲函数、 三角函数和有理函数混合构成的新相互作用解.关键词:G'/G)展开法')\" href=\"#\">(G'/G)展开法辅助方程法三孤子解 相似文献
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An improved algorithm is devised for using Fan sub-equation method to solve Wick-type stochastic partial differential equations. Applying the improved algorithm to the Wick-type generalized stochastic KdV equation, we obtain more general Jacobi and Weierstrass elliptic function solutions, hyperbolic and trigonometric function solutions, exponential function solutions and rational solutions. 相似文献
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JIANG Wu-Yout ZHANG Hong-Qing 《理论物理通讯》2005,44(6):981-986
In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method. 相似文献
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JIANG Wu-You ZHANG Hong-Qing 《理论物理通讯》2005,44(12)
In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method. 相似文献
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Lü Zhuo-Sheng 《理论物理通讯》2003,39(3)
Abundant new soliton-like and period form solutions for certain (3+1)-dimensional physically important nonlinear evolution equations are obtained by using a further extended tanh method and symbolic computation system, Maple. 相似文献
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ZHANG Yi CHEN Deng-Yuan 《理论物理通讯》2004,42(11)
By using the extended Hirota‘s method, the N-soliton-like solution of the Ito equation is obtained. Furthermore, we also investigate the soliton-like solution interaction and find singularity. 相似文献
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Recently,a new decomposition of the (2 1)-dimensional Kadomtsev-Petviashvili(KP) equation to a (1 1)-dimensional Broer-Kaup (BK) equation and a (1 1)-dimensional high-order BK equation was presented by Lou and Hu.In our paper,a unified Darboux transformation for both the BK equation and high-order BK equation is derived with the help of a gauge transformation of their spectral problems.As application,new explicit soliton-like solutions with five arbitrary parameters for the BK equation,high-order BK equation and KP equation are obtained. 相似文献
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In this paper, an explicit N-fold Darboux transformation with multi-parameters for both a (1+1)- dimensional Broer-Kaup (BK) equation and a (1+1)-dimensional high-order Broer-Kaup equation is constructed with the help of a gauge transformation of their spectral problems. By using the Darboux transformation and new basic solutions of the spectral problems, 2N-soliton solutions of the BK equation, the high-order BK equation, and the Kadomtsev-Petviashvili (KP) equation are obtained. 相似文献
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ZHANGYi CHENDeng-Yuan 《理论物理通讯》2004,42(5):641-644
By using the extended Hirota‘s method, the N-soliton-like solution of the Ito equation is obtained. Furthermore, we also investigate the soliton-like solution interaction and find singularity. 相似文献
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By means of generalized Riccati equation expansion method and symbolic computation, some exact analytical solutions, which contain soliton-like solutions and periodic-like solutions to the generalized Calogero-Bogoyavlenskii-Schiff (GCBS) equation, are obtained. From our results, the solitary-wave solutions and previously known soliton-like solutions of the special cases of GCBS equation can be recovered. 相似文献