共查询到20条相似文献,搜索用时 562 毫秒
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ZHANGJin-liang WANGMing-liang FANGZong-de 《原子与分子物理学报》2004,21(1):78-82
By using the extended F-expansion method,the exact solutions,including periodic wave solutions expressed by Jaeobi elliptic functions,for (2 1)-dimensional nonlinear Schroedinger equation are derived.In the limit cases,the solitary wave solutions and the other type of traveling wave solutions for the system are obtained. 相似文献
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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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LIU Cheng-Shi 《理论物理通讯》2005,44(5):799-801
Using trial equation method, abundant exact envelope traveling wave solutions of high-order dispersive cubic-quintic nonlinear Schr6dinger equation, which include envelope soliton solutions, triangular function envelope solutions, and Jacobian elliptic function envelope solutions, are obtained. To our knowledge, all of these results are new. In particular, our proposed method is very simple and can be applied to a lot of similar equations. 相似文献
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Exact solutions to the shallow wave equation are studied based on the idea of the extended homoclinic test and bilinear method. Some explicit solutions, such as the one soliton solution, the doubly-periodic wave solution and the periodic solitary wave solutions, are obtained. In addition, the properties of the solutions are investigated. 相似文献
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利用动力系统方法研究一维Tonks-Girardeau原子气区域中Gross-Pitaevskii (GP)方程简化模型的一些精确行波解以及这些精确行波解的动力学行为, 研究系统的参数对行波解的动力学行为的影响. 在不同的参数条件下, 获得了一维Tonks-Girardeau原子气区域中GP方程简化模型的六个行波解的精确参数表达式.
关键词:
动力系统方法
孤立波解
周期波解
扭波解 相似文献
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利用变分迭代理论研究了一类广义Canard系统. 首先引入一组泛函,然后构造了原方程解的迭代关系式,最后得到了问题鸭解的近似解析式.
关键词:
鸭解
解析解
变分迭代 相似文献
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By using an improved projective Riccati equation method, this paper obtains several types of exact travelling wave solutions to the Benjamin Ono equation which include multiple soliton solutions, periodic soliton solutions and Weierstrass function solutions. Some of them are found for the first time. The method can be applied to other nonlinear evolution equations in mathematical physics. 相似文献
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ZHI Hong-Yan ZHAO Xue-Qin ZHANG Hong-Qing 《理论物理通讯》2005,44(4):597-603
In this paper, based on a new system of three Riccati equations, we give a new method to construct more new exact solutions of nonlinear differential equations in mathematical physics. The classical Boussinesq system is chosen to illustrate our method. As a consequence, more families of new exact solutions are obtained, which include solitary wave solutions and periodic solutions. 相似文献
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证明了KdV型议程的孤波解和KdV-Burgers型方程的行波解在李亚诺夫意义下是不是稳定的,从而修正了文献中的一些结论。 相似文献
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将无反射势阱的Schr?dinger方程作自变量双曲函数变换,可使其转化为associated-Legendre方程。从而得到分别用associated-Legendre多项式和函数表示的束缚态和散射态本征函数,并讨论了散射态的归一化和这种精确本征函数的应用问题。本文给出的解较文献中已有的渐近解或特殊值的解具有一般性。
关键词: 相似文献
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对于一类KdV方程的孤子解和一类KdV-Burgers方程的行波解,利用直接扰动法证明了它们具有条件稳定性,即解的稳定性敏感的依赖于方程的参数和初始条件,从而推广和修正了近期文献中关于这些解不稳定的结论.
关键词: 相似文献
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利用Ising模型在无外场周期边界条件下的哈密顿量的对称性,对矩阵进行块对角化,严格求得2×2×n简单立方晶格Ising模型的解析解,对其他两种自旋集团较小的情况的热力学函数自由能进行数值计算,在数据拟合的基础上提出一种近似解.
关键词: 相似文献
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研究一类非线性方程,即广义Camassa-Holm方程C(n):ut+kux+β1u\{xxt\}+β2u\{n+1\}x+β3uxun\{xx\}+β4uun\{xxx\}=0.通过四种拟设得到丰富的精确解,特别是当k≠0时得到了com pacton解,当k=0时得到了移动compacton解.最后利用线 性化的方法得到了其他形式的广义Camassa-Holm方程的compacton解.
关键词:
广义Camassa-Holm方程
compacton解
移动compacton解 相似文献
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YANG Zong-Hang 《理论物理通讯》2006,46(5):807-811
An algebraic method with symbolic computation is devised to uniformly construct a series of exact solutions of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawda equation. The solutions obtained in this paper include solitary wave solutions, rational solutions, triangular periodic solutions, Jacobi and Weierstrass doubly periodic solutions. Among them, the Jacobi periodic solutions exactly degenerate to the solutions at a certain limit condition. Compared with most existing tanh method, the method used here can give new and more general solutions. More importantly, this method provides a guldeline to classifj, the various types of the solution according to some parameters. 相似文献
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本文利用dc与rf电流偏置全电流超导隧道结电子模拟器在固定dc值、rf激励幅度与频率条件下,观察到了随阻尼变化系统出现周期、次谐波与混沌解现象。 相似文献
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In this paper,we study the generalized coupled Hirota-Satsuma KdV system by using the new generalized transformation in homogeneous balance method.As a result,many explicit exact solutions,which contain new solitary wave solutions,periodic wave solutions,and the combined formal solitary wave solutions,and periodic wave solutions ,are obtained. 相似文献
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