共查询到17条相似文献,搜索用时 15 毫秒
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变系数(2+1)维Broer-Kaup方程的新精确解 总被引:1,自引:1,他引:0
李德生 《原子与分子物理学报》2004,21(1)
通过一个简单的变换,变系数(2+1)维Broer-Kaup方程被简化为人们熟知的变系数Burgers方程.利用近年来广泛使用的齐次平衡法和tanh-函数法,获得了变系数(2+1)维Broer-Kaup方程的一些新的精确解. 相似文献
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变系数(2+1)维Broer-Kaup方程的新精确解P 总被引:2,自引:1,他引:1
李德生 《原子与分子物理学报》2004,21(1):133-138
通过一个简单的变换,变系数(2+1)维Broer-Kaup方程被简化为人们熟知的变系数Burgers方程.利用近年来广泛使用的齐次平衡法和tanh-函数法,获得了变系数(2+1)维Broer-Kaup方程的一些新的精确解. 相似文献
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变系数(2+1)维Broer-Kaup方程的精确解 总被引:15,自引:4,他引:15
利用齐次平衡原则,导出了变系数(2+1)维Broer-Kaup方程的B?cklund变换(BT),并由该BT,求出了(2+1)维Broer-Kaup方程的各种形式的精确解. 相似文献
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利用推广的齐次平衡方法,首先将(2+1)维Broer-Kaup方程线性化,然后构造出丰富的广义孤子解,包括单孤子解,单曲线孤子解,单dromion解,多dromion解。此方法直接而简单,可推广应用一大类(2+1)维非线性可积方程。 相似文献
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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
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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
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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
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ZHU Jia-Min MA Zheng-Yi 《理论物理通讯》2006,46(9)
In this paper, using the variable coefficient generalized projected Ricatti 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
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A nonlinear transformation and some
multi-solition solutions for the (2+1)-dimensional generalized
Broer-Kaup (GBK) system is first given by using the homogeneous
balance method. Then starting from the nonlinear transformation,
we reduce the (2+1)-dimensional GBK system to a simple linear
evolution equation. Solving this equation, we can obtain some new
explicit exact solutions of the original equations
by means of the extended hyperbola function method. 相似文献
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HUANG Wen-Hua 《理论物理通讯》2008,49(6):1383-1388
Applying the extended mapping method via Riccati equation, many exact variable separation solutions for the (2&1 )-dimensional variable coefficient Broer-Kaup equation are obtained. Introducing multiple valued function and Jacobi elliptic function in the seed solution, special types of periodic semifolded solitary waves are derived. In the long wave limit these periodic semifolded solitary wave excitations may degenerate into single semifolded localized soliton structures. The interactions of the periodic semifolded solitary waves and their degenerated single semifolded soliton structures are investigated graphically and found to be completely elastic. 相似文献
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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