共查询到20条相似文献,搜索用时 46 毫秒
1.
流体力学中的强迫孤立波 总被引:3,自引:3,他引:3
简要讨论了80年代发现的以先驱孤立波和非传播孤立波为代表的流体力学中的强迫孤立波.介绍了这些孤立波产生的方法、力学模型、控制方程、研究现状及有待解决的问题. 相似文献
2.
根据Mindlin理论和Murnaghan模型,首先建立了描述耗散、频散及非线性微结构固体中一维纵波传播的一种简单模型.然后利用有限差分方法,数值模拟了微结构效应对钟型与扭结孤立波演化的影响. 结果表明,随着微结构效应的减弱,钟型孤立波的幅度衰减以及非对称特征变得越来越明显;随着微结构效应的增强,扭结孤立波顶部出现的“帽子”状变化以及由此产生的非对称特征变得越来越明显. 相似文献
3.
5.
6.
8.
9.
通过对现行基础力学课程考试中存在的问题和近年来基础力学考试改革现状的分析,根据基础力学课程内容多、课时多、修课人数多的特点, 提出了基础力学考试改革的新理念和操作方法, 指出基础力学考试改革应充分反映课程的教学要求, 而且应有利于对课程教与学的良性促进. 相似文献
10.
周显初 《非线性动力学学报》1998,5(2):132-135
本文讨论了关于表面张力的实验与理论分析之间的矛盾把表面张力的能量当作高阶小量、导出了非传播孤立波的基本方程,得到的解与实验结果相符。 相似文献
11.
The interaction between solitary wave solutions to a double sine-Gordon equation is examined numerically. Depending on the velocity, formation of breather-like modes or quasi solitonic behaviour are observed when a 2δ-kink interact with a 2π-antikink. As a result of collision between a (2π-2δ)-kink and a (2π-2δ)-antikink two 2δ-kink-antikink pairs always appear. 相似文献
12.
The interaction of the components of composite solitary waves governed by nonlinear coupled equations is studied numerically. It is shown how predictions of the known exact traveling wave solutions may help in understanding and explaining the process of reshaping seen as head-on and take-over collisions of individual solitary waves. The most interesting results concern the switch in the sign or the periodic modulation of the amplitude of the solitary wave and the direction of its propagation due to collisions. 相似文献
13.
《Wave Motion》2018
We construct a family of exact planar solitary wave solutions in a two-dimensional lattice. The system under consideration is a scalar two-dimensional extension of a nonintegrable Fermi–Pasta–Ulam problem with a piecewise quadratic potential. The constructed solutions exhibit an anisotropic dependence on the angle of propagation. Through a detailed analysis of explicit solutions, we show that conventional quasicontinuum models fail to fully describe this dependence. However, a truncated series approximation of the constructed solution that includes sufficiently short wavelengths captures this effect quite well. 相似文献
14.
《European Journal of Mechanics - B/Fluids》1999,18(1):93-102
This investigation studies possible mechanisms by which localised disturbances in a vertically oscillating long channel undergo transition to instability. Modulated cross-waves with a carrier frequency close to natural are considered. The channel is subjected to oscillations with the frequency shifted slightly below twice the natural value. The waves are considered to be described by the Miles equation (Miles, 1984). We report here numerical investigations of the instability of various solitary wave disturbances for a range of controlling parameters. Certain mechanisms describing such transitions have been predicted theoretically by Il'ichev (1998). 相似文献
15.
A. T. Il'ichev 《Fluid Dynamics》1996,31(5):754-760
The existence of traveling solitary waves, the products of modulation instability in a cold quasi-neutral plasma, is considered. Solitary waves of this type (solitary wave trains) are formed as a result of bifurcation from a nonzero wave number of the linear wave spectrum. It is shown that the complete system of equations describing the wave process in a cold plasma has solutions of the solitary wave train type, at least when the undisturbed magnetic field is perpendicular to the wave front. Sufficient conditions of existence of solitary wave trains in weakly dispersive media are also formulated.Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, pp. 154–161, September–October, 1996. 相似文献
16.
We discuss the dissipative nonlinear Schrödinger equation (NLSE) with a variable coefficient in blood vessels via a NLSE-based constructive method and obtain exact nonautonomous soliton solutions including bright soliton solutions on continuous wave (cw) and cnoidal wave (cnw) backgrounds. Moreover, the dynamical behaviors of these soliton solutions are studied. The impact of the cw background on the separating and interactive soliton behaviors is investigated. These behaviors of the soliton can be modulated by adjusting the amplitude of background wave. The propagation behaviors of solitons on the cnw background in different dispersion systems are also studied. These results are potentially useful for future experiments in various blood vessels. 相似文献
17.
18.
A. T. Il’ichev 《Fluid Dynamics》2016,51(3):327-337
A family of plane solitary wave packets of a small (but finite) amplitude on the surface of an ideal incompressible fluid of finite depth beneath an ice cover is described. The solitary wave trains correspond to solutions of the two-dimensional system of Euler’s equations of an ideal incompressible fluid of the type of a traveling wave which decreases at infinity and has identical phase and group velocities. The ice cover is simulated by an elastic Kirchhoff-Love plate freely floating on the fluid surface in the compressed state. 相似文献
19.
潘秀德 《应用数学和力学(英文版)》1988,9(3):311-316
In this paper, we discuss a property of solitary wave solutions of the combined KdV equation. Meantime, we point out that
the combined KdV equation can be reduced to the Painlevé equation. Furthermore, utilizing special transformations of similarity
variables, we derive a kind of new partial differential equations. 相似文献