共查询到20条相似文献,搜索用时 0 毫秒
1.
ZHENG Chun-Long FEI Jin-Xi 《理论物理通讯》2007,48(4):657-661
Starting from an improved projective method and a linear variable separation approach, new families of variable separation solutions (including solltary wave solutlons, periodic wave solutions and rational function solutions) with arbitrary functions [or the (2+ 1)-dimensional general/zed Broer-Kaup (GBK) system are derived. Usually, in terms of solitary wave solutions and/or rational function solutions, one can find abundant important localized excitations. However, based on the derived periodic wave solution in this paper, we reveal some complex wave excitations in the (2+1)-dimensional GBK system, which describe solitons moving on a periodic wave background. Some interesting evolutional properties for these solitary waves propagating on the periodic wave bactground are also briefly discussed. 相似文献
2.
LI Jun-Min DING Wei TANG Xiao-Yan 《理论物理通讯》2007,47(6):1058-1062
We study the symmetries of a (2+1)-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, severaJ types of similarity solutions are obtained. 相似文献
3.
Using a further modified extended tanh-function method, rich new families of the exact solutions for the (2+1)-dimensional Broer-Kaup (BK) system, comprising the non-traveling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, periodic
form solutions, are obtained. 相似文献
4.
ZHENG Chun-Long YE Jian-Feng XU Yuan 《理论物理通讯》2006,46(3):461-466
Using a special Painleve-Baecklund transformation as well as the extended mapping approach and the linear superposition theorem, we obtain new families of variable separation solutions to the (2+1)-dimensional generalized Broer-Kaup (GBK) system. Based on the derived exact solution, we reveal some novel evolutional behaviors of localized excitations, i.e. fission and fusion phenomena in the (2+1)-dimensional GBK system. 相似文献
5.
6.
The multi-linear variable separation approach method is very useful to solve
(2+1)-dimensional integrable systems. In this letter, we extend this method to solve (1+1)-dimensional Boiti system, (2+1)-dimensional Burgers
system, (2+1)-dimensional breaking soliton system, and (2+1)-dimensional Maccari system. Some new exact solutions are obtained and the universal formula obtained from
many (2+1)-dimensional systems is extended or modified. 相似文献
7.
Using the modified extended tanh-function method,
explicit and exact traveling wave solutions for the (2+1)-dimensional
higher-order Broer-Kaup (HBK) system, comprising new soliton-like and
period-form solutions, are obtained. 相似文献
8.
FANG Jian-Ping ZHENG Chun-Long ZHU Hai-Ping REN Qing-Bao CHEN Li-Qun 《理论物理通讯》2005,44(2):203-208
Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2+1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2+1)-dimensional GBK system. 相似文献
9.
In this letter, starting from a B\"{a}cklund transformation, a
general solution of a (2+1)-dimensional integrable system is
obtained by using the new variable separation approach. 相似文献
10.
Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2 1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived solitary wave solution, we obtain some specific chaotic solitons to the (2 1)-dimensional GBK system. 相似文献
11.
WANG Ling LIU Xi-Qiang DONG Zhong-Zhou 《理论物理通讯》2007,47(3):403-408
Painleve property and infinite symmetries of the (2+1)-dimensional higher-order Broer-Kaup (HBK) system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to (2+1)-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the (2+1)-dimensional HBK system. 相似文献
12.
ZHU Jia-Min MA Zheng-Yi 《理论物理通讯》2006,46(3):393-396
In this paper, using the variable coefficient generalized projected Rieatti equation expansion method, we present explicit solutions of the (2+1)-dimensional variable coefficients Broer-Kaup (VCBK) equations. These solutions include Weierstrass function solution, solitary wave solutions, soliton-like solutions and trigonometric function solutions. Among these solutions, some are found for the first time. Because of the three or four arbitrary functions, rich localized excitations can be found. 相似文献
13.
BAI Cheng-Lin 《理论物理通讯》2001,35(4):409-411
By using the extended homogeneous balance method,we give new soliton-like solutions for the (2 1)-dimensional high-order Broer-Kaup equations.Solitary wave solutions are shown to be a special case of the present results. 相似文献
14.
Soliton Fusion and Fission Phenomena in the (2+1)-Dimensional Variable Coefficient Broer-Kaup System
In this paper, the general projective Riccati equation method is applied to derive variable separation solutions of the (2+1)-dimensional
variable coefficient Broer-Kaup system. By further studying, we find that these variable separation solutions obtained by
PREM, which seem independent, actually depend on each other. Based on the variable separation solution and choosing suitable
functions p and q, new types of fusion and fission phenomena among bell-like semi-foldons are firstly investigated. 相似文献
15.
By the application of the extended homogeneous balance
method, we derive an auto-Bäcklund transformation (BT) for
(2+1)-dimensional variable coefficient generalized KP equations. Based on
the BT, in which there are two homogeneity equations to be solved, we obtain
some exact solutions containing single solitary waves. 相似文献
16.
FANG Jian-Ping MA Song-Hua FEI Jin-Xi HONG Bi-Hai ZHENG Chun-Long 《理论物理通讯》2007,48(5):811-814
In this paper, we present an object reduction for nonlinear partial differential equations. As a concrete example of its applications in physical problems, this method is applied to the (2+1)-dimensional Boiti-Leon-Pempinelli system, which has the extensive physics background, and an abundance of exact solutions is derived from some reduction equations. Based on the derived solutions, the localized structures under the periodic wave background are obtained. 相似文献
17.
By using the further extended tanh method [Phys. Lett. A 307 (2003) 269; Chaos, Solitons & Fractals 17 (2003) 669] to the Broer-Kaup system with variable coefficients, abundant new soliton-like solutions and multl-solitonlike solutions are derived. Based on the derived multi-soliton-like solutions which contain arbitrary functions, some interesting multi-soliton structures are revealed. 相似文献
18.
The integrability of the (2+1)-dimensional Broer-Kaup equation with variable coefficients (VCBK) is verified by finding a transformation mapping it to the usual (2+1)-dimensional Broer-Kaup equation (BK). Thus the solutions of the (2+1)-dimensional VCBK are obtained by making full use of the known solutions of the usual (2+1)-dimensional BK. Two new integrable models are given by this transformation, their dromion-like solutions and rogue wave solutions are also obtained. Further, the velocity of the dromion-like solutions can be designed and the center of the rogue wave solutions can be controlled artificially because of the appearance of the four arbitrary functions in the transformation. 相似文献
19.
By truncating the Painlevé expansion at the constant level term, the Hirota bilinear form is obtained for a (3+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation. Based on its bilinear form, solitary-wave solutions are constructed via the ε-expansion method and the corresponding graphical analysis is given. Furthermore, the exact solution in the Wronskianform is presented and proved by direct substitution into the bilinear equation. 相似文献
20.
XU Chang-Zhi 《理论物理通讯》2006,46(3):403-406
Variable separation approach is introduced to solve the (2+1)-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model (24). Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately. 相似文献