共查询到20条相似文献,搜索用时 15 毫秒
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GONG Lun-Xun PAN Jun-Ting 《理论物理通讯》2007,48(5):787-790
The modified mapping method is further improved by the expanded expression of u(ξ) that contains the terms of the first-order derivative of function f(ξ). Some new exact solutions to the mBBM equation are determined by means of the method. We can obtain many new solutions in terms of the Jacobi elliptic functions of the equation. 相似文献
3.
We construct the Hamiltonians of open elliptic quantum Gaudin model and show
its relation with the open boundary elliptic quantum group.
We define eigenstates of the model to be Bethe vectors with
η=0 of the boundary elliptic quantum group. Then, the Hamiltonian
is exactly diagonalized by using the algebraic Bethe ansatz method. 相似文献
4.
FU Zun-Tao LIU Shi-Kuo LIU Shi-Da 《理论物理通讯》2004,42(9)
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a transformationand is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodicsolutions of rational form, solitary wave solutions of rational form, and so on. 相似文献
5.
Elliptic Equation and New Solutions to Nonlinear Wave Equations 总被引:2,自引:0,他引:2
FUZun-Tao LIUShi-Kuo LIUShi-Da 《理论物理通讯》2004,42(3):343-346
The new solutions to elliptic equation are shown, and then the elliptic: equation is taken as a transformation and is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form, and so on. 相似文献
6.
In this paper, two transformations are introduced to solve
sinh-Gordon equation by using the knowledge of elliptic equation
and Jacobian elliptic functions. It is shown that different
transformations are required in order to obtain more kinds of
solutions to the sinh-Gordon equation. 相似文献
7.
YU Jian-Ping SUN Yong-Li 《理论物理通讯》2008,50(8):295-298
This paper is based on the relations between projection Riccati equations and Weierstrass elliptic equation, combined with the Groebner bases in the symbolic computation. Then the novel method for constructing the Weierstrass elliptic solutions to the nonlinear evolution equations is given by using the above relations. 相似文献
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Omnidirectional Single-negative Gap and in Fibonacci Sequences Composed of Single-negative Materials
Ting-yi Shang Hui-yun Zhang Yu-ping Zhang Peng Wang Jian-quan Yao 《International Journal of Infrared and Millimeter Waves》2007,28(8):671-676
The band structures of Fibonacci sequence composed of single-negative materials are studied with a transfer matrix method.
A new type of omnidirectional single-negative gaps is found in the Fibonacci sequence. In contrast to the Bragg gaps, such
an omnidirectional single-negative gap is insensitive to the incident angles and polarization, and is invariant upon the change
of the ratio of the thicknesses of two media. It is found that omnidirectional single-negative gap exists in the other Fibonacci
sequence, and it is rather stable and independence of the structure sequence. 相似文献
9.
In this paper, four transformations are introduced to solve single sine-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different transformations are required in order to obtain more kinds of solutions to the single sine-Gordon equation. 相似文献
10.
This paper is based on the relations between projection
Riccati equations and Weierstrass elliptic equation, combined with the
Groebner bases in the symbolic computation. Then the novel method for
constructing the Weierstrass elliptic solutions to the nonlinear evolution
equations is given by using the above relations. 相似文献
11.
FUZun-Tao YAOZhen-Hua LIUShi-Kuo LIUShi-Da 《理论物理通讯》2005,44(1):23-30
In this paper, four transformations are introduced to solve single sine-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different transformations are required in order to obtain more kinds of solutions to the single sine-Gordon equation. 相似文献
12.
The real, nonsingular elliptic solutions of the Korteweg-de Vries equation are studied through the time dynamics of their
poles in the complex plane. The dynamics of these poles is governed by a dynamical system with a constraint. This constraint
is solvable for any finite number of poles located in the fundamental domain of the elliptic function, often in many different
ways. Special consideration is given to those elliptic solutions that have a real nonsingular soliton limit.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
13.
Emad A-B. ABDEL-SALAM 《理论物理通讯》2009,52(6):1004-1012
By introducing the Lucas--Riccati method and a linear variable separationmethod, new variable separation solutions with arbitrary functions arederived for a (2+1)-dimensional modified dispersive water-wave system. Themain idea of this method is to express the solutions of this system aspolynomials in the solution of the Riccati equation that the symmetricalLucas functions satisfy. From the variable separation solution and byselecting appropriate functions, some novel Jacobian elliptic wave structurewith variable modulus and their interactions with dromions and peakons are investigated. 相似文献
14.
ZHANG Ling ZHANG Li-Feng LI Chong-Yin WANG Tie TAN Yan-Ke 《理论物理通讯》2008,49(6):1557-1560
By using the modified mapping method, we find new exact solutions of the Petviashvili equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions. 相似文献
15.
YAN Zhen-Ya 《理论物理通讯》2002,38(10)
Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by usingour extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and anotherthree families of new doubly periodic solutions (Jacobian elliptic function solutions) are fbund again by using a newtransformation, which and our extended Jacobian elliptic function expansion method form a new method still called theextended Jacobian elliptic function expansion method. The new method can be more powertul to be applied to othernonlinear differential equations. 相似文献
16.
YAN Zhen-Ya 《理论物理通讯》2003,39(2)
More recently, sixteen families of Jacobian elliptic function solutions of mKdV equation have been foundby using our extended Jacobian elliptic function expansion method. In this paper, we continue to improve our methodby using another eight pairs of the closed Jacobian elliptic functions. The mKdV equation is chosen to illustrate theimproved method such that another eight families of new Jacobian elliptic function solutions are obtained again. Thenew method can be more powerful to be applied to other nonlinear differential equations. 相似文献
17.
YAN Zhen-Ya 《理论物理通讯》2002,38(4):400-402
Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by using our extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and another three families of new doubly periodic solutions (Jacobian elliptic function solutions) are found again
by using a new transformation, which and our extended Jacobian elliptic
function expansion method form a new method still called the
extended Jacobian elliptic function expansion method. The new method can
be more powerful to be applied to other nonlinear differential equations. 相似文献
18.
In this paper, we have successfully extended the Jacobian elliptic
function expansion approach to nonlinear differential-difference
equations. The Hybrid lattice equation is chosen to illustrate this approach. As a consequence, twelve families of Jacobian elliptic function solutions with different parameters of the Hybrid lattice equation are obtained. When the modulus m→1 or 0, doubly-periodic solutions degenerate to solitonic solutions and trigonometric function solutions, respectively. 相似文献
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YAN Zhen-Ya 《理论物理通讯》2002,38(8)
An extended Jacobian elliptic function expansion method presented recently by us is applied to the mKdVequation such that thirteen families of Jacobian elliptic function solutions including both new solutions and Fu‘s allresults are obtained. When the modulus m → 1 or 0, we can find the corresponding six solitary wave solutions and sixtrigonometric function solutions. This shows that our method is more powerful to construct more exact Jacobian ellipticfunction solutions and can be applied to other nonlinear differential equations. 相似文献