共查询到20条相似文献,搜索用时 15 毫秒
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《Communications in Nonlinear Science & Numerical Simulation》2011,16(11):4183-4188
In this paper, we study and classify the conservation laws of the combined nonlinear KdV, Camassa–Holm, Hunter–Saxton and the inviscid Burgers equation which arises in, inter alia, shallow water equations. It is shown that these can be obtained by variational methods but the main focus of the paper is the construction of the conservation laws as a consequence of the interplay between symmetry generators and ‘multipliers’, particularly, the higher-order ones. 相似文献
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Alois Steindl 《PAMM》2015,15(1):265-266
We investigate the bifurcating solutions at a Hopf–Hopf interaction point with an internal 1 : 3 resonance. It turns out, that the transitions from single to mixed modes can be described by Duffing or Mathieu szenarios. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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《Advances in Applied Mathematics》2002,28(3-4):287-301
We show that the simple matroid PG(n − 1, q)\PG(k − 1, q), for n ≥ 4 and 1 ≤ k ≤ n − 2, is characterized by a variety of numerical and polynomial invariants. In particular, any matroid that has the same Tutte polynomial as PG(n − 1, q)\PG(k − 1, q) is isomorphic to PG(n − 1, q)\PG(k − 1, q). 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2010,15(3):648-656
In this study, we have used London–Eyring–Polanyi–Sato (LEPS) functional form as an interaction potential energy function to simulate H (2H) → Cu(1 1 1) interaction system. The parameters of the LEPS function are determined in order to analyze reaction dynamics via molecular dynamics computer simulations of the Cu(1 1 1) surface and H/(2H) system. Nonlinear least-squares method is used to find the LEPS parameters. For this purpose, we use the energy points which were calculated by a density-functional theory method with the generalized gradient approximation including exchange-correlation energy for various configurations of one and two hydrogen atoms on the Cu(1 1 1) surface. After the fitting procedures, two different parameters sets are obtained that the calculated root-mean-square values are close to each other. Using these sets, contour plots of the potential energy surfaces are analyzed for H → Cu(1 1 1) and 2H → Cu(1 1 1) interactions systems. In addition, sticking, penetration, and scattering sites on the surface are analyzed by using these sets. 相似文献
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《Discrete Mathematics》2020,343(3):111734
Recursive matrices are ubiquitous in combinatorics, which have been extensively studied. We focus on the study of the sums of 2 × 2 minors of certain recursive matrices, the alternating sums of their 2 × 2 minors, and the sums of their 2 × 2 permanents. We obtain some combinatorial identities related to these sums, which generalized the work of Sun and Ma (2014) [23,24]. With the help of the computer algebra package HolonomicFunctions, we further get some new identities involving Narayana polynomials. 相似文献
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仅仅依靠序列空间λ的内蕴性质, 作者给出了λ -乘数收敛级数空间X(λ)上的一个局部凸拓扑TΒ, 并证明了(X(λ), TΒ)是AK -空间, 具有序列完备性和Banach-Steinhaus性质. 特别是作者给出了此空间上的一个改进的Orlicz-Pettis定理. 相似文献
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《Comptes Rendus Mathematique》2003,336(12):971-974
We show that any binary type II code can be built as a Cortex code where the basis code is the [8,4,4] extended Hamming code. To cite this article: A. Otmani, C. R. Acad. Sci. Paris, Ser. I 336 (2003). 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2011,16(6):2493-2500
Two 3 × 3 discrete matrix spectral problems are introduced and the corresponding lattice soliton equations are derived. By means of the discrete trace identity the Hamiltonian structures of the resulting equations are constructed. Liouville integrability of the discrete Hamiltonian systems is proved. 相似文献
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严荣沐 《数学物理学报(A辑)》2004,24(4):420-425
该文对Finsler流形上的微分式定义了整体内积,进而引入δ算子和Laplace算子。该文还给出了δ算子的局部坐标表达式并且证明了Laplace算子可以看成是Riemann流形上Laplace算子在Finsler流形上的扩张。 相似文献
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P. Carbonaro 《Chaos, solitons, and fractals》2012,45(7):959-965
In this paper we consider the three-dimensional modulation of an electron-acoustic wave by means of a multiple-scale perturbation method. We find that the governing equation for the amplitude that describes the asymptotic properties of the wave is a Davey–Stewartson system in three-space variables. We use the system to study the linear stability of the modulation wave and we compare our results with preceding studies by Kourakis and Shukla (2004) [8] on the oblique modulation problem based on a non-linear Schrödinger equation. 相似文献
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该文主要证明了在Dirichlet空间上由复合算子{C\-φ:φ∈Aut(D)}生成的代数为循环算子代数;同时对任意的解析映射φ:D→D,C\-φ都不可能为超循环算子给出了证明. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2014,19(6):1669-1674
We obtain closed-form exact solutions to the 1 + 1 Born–Infeld equation arising in nonlinear electrodynamics. In particular, we obtain general traveling wave solutions of one wave variable, solutions of two wave variables, similarity solutions, multiplicatively separable solutions, and additively separable solutions. Then, putting the Born–Infeld model into correspondence with the minimal surface equation using a Wick rotation, we are able to construct complex helicoid solutions, transformed catenoid solutions, and complex analogues of Scherk’s first and second surfaces. Some of the obtained solutions are new, whereas others are generalizations of solutions in the literature. These exact solutions demonstrate the fact that solutions to the Born–Infeld model can exhibit a variety of behaviors. Exploiting the integrability of the Born–Infeld equation, the solutions are constructed elegantly, without the need for complicated analytical algorithms. 相似文献
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庄瓦金 《数学物理学报(A辑)》2004,4(5):583-588
对于A,B∈〖WTHX〗H〖WTBX〗(n,≥),该文给出L[AKo¨D]wner偏序下A≤〖DD(〗L〖DD)〗B的五种刻画和A\+2≤〖DD(〗L〖DD)〗B\+2的两种刻画;并将A,B∈〖WTHX〗C〖WTBX〗(n,*)时,A≤〖DD(〗L〖DD)〗B的Liski定理推广到四元数除环上. 相似文献
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邢家省 《数学物理学报(A辑)》2004,4(5):618-625
考虑半导体方程稳态模型的混合边值问题,应用Schauder不动点定理证明了逼近解的存在性,通过一系列先验估计的获得,利用紧致性原理证明了稳态解的存在性. 相似文献