共查询到20条相似文献,搜索用时 15 毫秒
1.
HUANG Wen-Hua 《理论物理通讯》2006,46(10)
A new generalized extended F-expansion method is presented for finding periodic wave solutions of nonlinear evolution equations in mathematical physics. As an application of this method, we study the (2 1)-dimensional dispersive long wave equation. With the aid of computerized symbolic computation, a number of doubly periodic wave solutions expressed by various Jacobi elliptic functions are obtained. In the limit cases, the solitary wave solutions are derived as well. 相似文献
2.
ZHENG Ying ZHANG Yuan-Yuan ZHANG Hong-Qing 《理论物理通讯》2006,46(1):5-9
In this paper, an extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact Jacobi elliptic function solutions to nonlinear partial differential equations by means of making a more general transformation. For illustration, we apply the method to the (2+1)-dimensional dispersive long wave equation and successfully obtain many new doubly periodic solutions, which degenerate as soliton solutions when the modulus m approximates 1. The method can also be applied to other nonlinear partial differential equations. 相似文献
3.
CHEN Jiang YANG Kong-Qing HE Hong-Sheng 《理论物理通讯》2007,48(5):877-880
A new generalized F-expansion method is introduced and applied to the study of the (2+1)-dimensional Boussinesq equation. The further extension of the method is discussed at the end of this paper. 相似文献
4.
In this paper, an extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact Jacobi elliptic function solutions to nonlinear partial differential equations by means of making a more general transformation. For illustration, we apply the method to the (2 1)-dimensional dispersive long wave equation and successfully obtain many new doubly periodic solutions, which degenerate as soliton solutions when the modulus m approximates 1. The method can also be applied to other nonlinear partial differential equations. 相似文献
5.
The (2+1)-dimensional breaking soliton equation describes the interaction of a Riemann wave propagating along the y-axis with a long wave along the
x-axis. In this paper, with the aid of symbolic computation, six
kinds of new special exact soltion-like solutions of
(2+1)-dimensional breaking soliton equation are obtained by using
some general transformations and the further generalized
projective Riccati equation method. 相似文献
6.
CHEN Jiang HE Hong-Sheng YANG Kong-Qing 《理论物理通讯》2005,44(2):307-310
A generalized F-expansion method is introduced and applied to (3+1 )-dimensional Kadomstev-Petviashvili(KP) equation. As a result, some new Jacobi elliptic function solutions of the equation are found, from which the trigonometric function solutions and the solitary wave solutions can be obtained. The method can also be extended to other types of nonlinear evolution equations in mathematical physics. 相似文献
7.
A generalized F-expansion method is introduced and applied to (3 1)-dimensional Kadomstev-Petviashvili(KP) equation. As a result, some new Jacobi elliptic function solutions of the equation are found, from which the trigonometric function solutions and the solitary wave solutions can be obtained. The method can also be extended to other types of nonlinear evolution equations in mathematical physics. 相似文献
8.
We present an extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics. By using extended F-expansion method, many
periodic wave solutions expressed by various Jacobi elliptic functions for the Klein-Gordon-Schrödinger equations are obtained. In the limit cases, the solitary wave solutions and
trigonometric function solutions for the equations are also
obtained. 相似文献
9.
10.
Generalized Riccati equation expansion method and its application to the Bogoyavlenskii's generalized breaking soliton equation 总被引:4,自引:0,他引:4
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Based on the computerized symbolic system Maple and a Riccati equation, a Riccati equation expansion method is presented by a general ansatz. Compared with most of the existing tanh methods, the extended tanh-function method, the modified extended tanh-function method and generalized hyperbolic-function method, the proposed method is more powerful. By use of the method, we not only can successfully recover the previously known formal solutions but also construct new and more general formal solutions for some nonlinear differential equations. Making use of the method, we study the Bogoyavlenskii's generalized breaking soliton equation and obtain rich new families of the exact solutions, including the non-travelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, periodic form solutions. 相似文献
11.
A new generalized transformation method is presented to find more exact solutions of nonlinear partial differential equation. As an application of the method, we choose the (3+1)-dimensional breaking soliton equation to illustrate the method. As a result many types of explicit and exact traveling wave solutions, which
contain solitary wave solutions, trigonometric function solutions,
Jacobian elliptic function solutions, and rational solutions,
are obtained. The new method can be extended to other nonlinear
partial differential equations in mathematical physics. 相似文献
12.
An extended subequation rational expansion method is presented and
used to construct some exact analytical solutions of the (2+1)-dimensional
cubic nonlinear Schrödinger equation. From our results, many known
solutions of the (2+1)-dimensional cubic nonlinear Schrödinger
equation can be recovered by means of some suitable selections of
the arbitrary functions and arbitrary constants. With computer simulation,
the properties of new non-travelling wave and coefficient function's
soliton-like solutions, and elliptic solutions are demonstrated by some plots. 相似文献
13.
WU Jian-Ping 《理论物理通讯》2011,56(2):297-300
Instead of the usual Hirota ansatz, i.e., the functions in bilinear equations being chosen as exponential types, a generalized Hirota ansatz is proposed for a (3+1)-dimensional nonlinear evolution equation. Based on the resulting generalized Hirota ansatz, a family of new explicit solutions for the equation are derived. 相似文献
14.
New doubly periodic and multiple soliton solutions of the generalized (3+l)-dimensional KP equation with variable coefficients
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A new generalized Jacobi elliptic function method is used to construct the exact travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation which has more new solutions. More new doubly periodic and multiple soliton solutions are obtained for the generalized (3+1)-dimensional Kronig-Penny (KP) equation with variable coefficients. This method can be applied to other equations with variable coefficients. 相似文献
15.
With the aid of computerized symbolic computation, an improved F-expansion method is presented to uniformly construct more new exact doubly periodic solutions in terms of rational formal Jacobi elliptic function of nonlinear partial differential equations (NPDEs). The coupled
Drinfel'd-Sokolov-Wilson equation is chosen to illustrate the method. As a
result, we can successfully obtain abundant new doubly periodic
solutions without calculating various Jacobi elliptic functions. In
the limit cases, the rational solitary wave solutions and trigonometric function solutions are obtained as well. 相似文献
16.
On a New Modified Extended Tanh-Function Method 总被引:3,自引:0,他引:3
In this paper, a new modified extended tanh-function method is presented for constructing multiple soliton-like, periodic form and rational solutions of nonlinear evolution equations (NLEEs). This method is more powerful thanthe extended tanh-function method [Phys. Lett. A277 (2000) 212] and the modified extended tanh-function method[Phys. Lett. A299 (2002) 179] Abundant new solutions of two physically important NLEEs are obtained by using thismethod and symbolic computation system Maple. 相似文献
17.
Using the extended homogenous balance method, we obtain abundant exact solution structures of a (2+1)-dimensional integrable model, the generalized Nizhnik-Novikov-Veselov equation. By means of the leading order term analysis, the nonlinear transformations of generalized Nizhnik-Novikov-Veselov equation are given first, and then some special types of single solitary wave solution
and the multisoliton solutions are constructed. 相似文献
18.
ZHANG Li-Hua LIU Xi-Qiang BAI Cheng-Lin 《理论物理通讯》2006,46(5):793-798
In this paper, the generalized ranch function method is extended to (2+1)-dimensianal canonical generalized KP (CGKP) equation with variable coetfficients. Taking advantage of the Riccati equation, many explicit exact solutions, which contain multiple soliton-like and periodic solutions, are obtained for the (2+1)-dimensional OGKP equation with variable coetffcients. 相似文献
19.
By using the F-expansion method proposed recently, the periodic wave solutions expressed by Jacobielliptic functions for two nonlinear evolution equations are derived. In the limit cases, the solitary wave solutions andthe other type of traveling wave solutions for the system are obtained. 相似文献
20.
ZHENG Chun-Long 《理论物理通讯》2005,43(6):1061-1067
Using an extended projective method, a new type of variable
separation solution with two arbitrary functions of the
(2+1)-dimensional generalized Broer-Kaup system (GBK) is derived.
Based on the derived variable separation solution, some special
localized coherent soliton excitations with or without elastic
behaviors such as dromions, peakons, and foldons etc. are
revealed by selecting appropriate functions in this paper. 相似文献