排序方式: 共有40条查询结果,搜索用时 15 毫秒
21.
Cheng-chun HaoAcademy of Mathematics System Sciences Chinese Academy of Sciences Beijing China 《应用数学学报(英文版)》2003,19(2):333-340
Abstract Considring the generalized Davey-Stewartson equation i-△u+λ│u│~pu+μE(│u│~q)│u│~(q-2)u=0,where λ>0,μ≥0,E=F~(-1)(ξ_1~2│ξ│~2)F,we obtain the existence of scattering operator in ∑(R~n):u{u∈H~1(R~n):│x│u∈L~2(R~n)}. 相似文献
22.
Davey-Stewartson方程在Banach空间中的指数吸引子 总被引:1,自引:0,他引:1
我们考虑了DS方程在Banach空间Xαp中的指数吸引子,并且得到其分形维度估计. 相似文献
23.
L. -Y. Sung 《Journal of Nonlinear Science》1995,5(5):433-452
Summary Using the method of inverse scattering, the sup-norms of the solutions of the Davey—Stewartson II equations are shown to decay in the order of 1/¦t¦ as ¦t¦ goes to infinity. In the focusing case this result is obtained for small initial data, whereas in the defocusing case it is obtained for general initial data. 相似文献
24.
根据基态的特征 ,首先在二维空间中导出了广义Davey Stewartson系统解爆破和整体存在的最佳条件 ;其次得到了整体解存在的一个最佳充分条件 ;最后证明了当初值为多小时 ,该系统的整体解存在 . 相似文献
25.
We obtain new gauge-invariant forms of two-dimensional integrable systems of nonlinear equations: the Sawada-Kotera and Kaup-Kuperschmidt
system, the generalized system of dispersive long waves, and the Nizhnik-Veselov-Novikov system. We show how these forms imply
both new and well-known twodimensional integrable nonlinear equations: the Sawada-Kotera equation, Kaup-Kuperschmidt equation,
dispersive long-wave system, Nizhnik-Veselov-Novikov equation, and modified Nizhnik-Veselov-Novikov equation. We consider
Miura-type transformations between nonlinear equations in different gauges.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 1, pp. 35–48, July, 2009. 相似文献
26.
Exact heteroclinic breather-wave solutions for Davey-Stewartson (DSI, DSII) system with periodic boundary condition are constructed using Hirota's bilinear form method and generalized ansatz method. The heteroclinic structure of wave is investigated. 相似文献
27.
《Physics letters. A》2020,384(9):126187
We study the (3+1)-dimensional Gross-Pitaevskii / Nonlinear Schrödinger equation describing a dipolar Bose-Einstein condensate. Bound states are computed using accurate numerical techniques. When the dipolar strength is negative, the total number of atoms vs. frequency relationship for these bound states is multi-valued and possesses a cusp point, which corresponds to a “candlestick” ground state. Direct simulations of this ground state exhibit strongly-anisotropic collapse of its nucleus, with different contraction rates along the dipole axis and perpendicular to it. We propose an anisotropic self-similar theory to explain this dynamics. The physical implications are discussed. 相似文献
28.
ZHI Hong-Yan ZHANG Hong-Qing 《理论物理通讯》2007,47(4):587-593
We combine the tanh function method with the symmetry group method to construct new type of solutions of Davey-Stewartson equation and implemente it in a computer algebraic system. As a result, some new types of solutions are obtained. This method is also applied to other differential equations if the nonlinear evolution equations admit nontrivial one-parameter group of transformation. 相似文献
29.
In this paper, based on new auxiliary nonlinear ordinary differential equation with a sixtb-aegree nonnneal term, we study the (2+l )-dimensional Davey-Stewartson equation and new types of travelling wave solutions are obtained, which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions, and singular solutions. The method used here can be also extended to many other nonlinear partial differential equations. 相似文献
30.
We prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlinear Davey-Stewartson equation in Hs(R2), and . 相似文献