Solitary waves in a finite depth fluid 来自 掌桥科研 喜欢 0 阅读量: 90 作者: RI Joseph 摘要: It is shown that U( xi )=u0(cosh2 a xi +(ab)-2 sinh2 a xi )-1 is the exact stationary wave solution to the Whitham equation in a two-layer fluid of finite depth and represents ...
The curves depend on two additional parameters ρ and h, where ρ is the ratio of the densities and h is the ratio of the fluid depths. However, the bifurcation diagram is found to be qualitatively the same as for surface waves. In particular, we find that a Hamiltonian-Hopf bifurcation,...
Theoretical or Mathematical/ dispersion (wave) gravity waves liquid waves perturbation theory solitons surface waves (fluid) wave equations wave propagation/ radiating solitary waves model evolution equation stratified finite depth fluids long waves small third order derivative dispersive perturbation weakly non...
They are obtained by summing Witting series applied in the theory of solitary waves. It is shown that in some cases, the left-hand half of the constructed flows is close to the left-hand half of the solitary waves. Introduction. To describe the solitary wave in a fluid of finite depth,...
Existence of solitary internal waves in a two-layer fluid of infinite depth using Fourier transforms in L2(R)- space and is different from the previous existence proof of solitary waves in a two-layer fluid with finite depth.do... SM Sun - 《Nonlinear Analysis》 被引量: 29发表: 1997年 ...
Finite-amplitude solitary waves in a two-layer fluid. Journal of Applied Mechanics and Technical Physics, 51(4), 471-481.N. V. Gavrilov and V. Yu. Liapidevskii, "Finite-amplitude solitary waves in a two layer fluid" [in Russian], Prikl. Mat. Mekh. Tekh. Fiz. 51, No. 4, 26-...
antiferromagneticfinite size scalingWe present an experimental study of highly localized, solitonlike structures that propagate on the two-dimensional surface of... O Lioubashevski,H Arbell,J Fineberg - 《Physical Review Letters》 被引量: 184发表: 1996年 Solitary waves in active-dissipative dispersi...
1.Second-Order Theory of Internal Solitary Waves in Stratified Fluids of Finite Depth;有限深分层流中内孤立波二阶理论 2.A preliminary study of SAR remote sensing inversion ofinternal solitary wavesin the north of the South China Sea was made by using the two-layer fluid model of oceanicinternal...
Considered here are detailed aspects of solitary-wave solutions of nonlinear evolution equations including the Euler equations for the propagation of gravity waves on the surface of an ideal, incompressible, inviscid fluid. Two properties will occupy our attention. The first, described already in an ...
Non-existence of truly solitary waves in water with small surface tension This paper considers permanent capillary-gravity waves on the free surface of a two-dimensional incompressible inviscid fluid of finite depth. It is shown ... Sun,M S. - 《Proceedings Mathematical Physical & Engineering Scie...