Camassa–holm
WebCamassa-Holm flow (see Camassa & Holm 1993). Equation (1.1) can be considered in the class of spatially periodic functions or in the class of functions on the line decaying at infinity. Accordingly, the isospectral problem (1.2) is a periodic weighted Sturm-Liouville problem or a weighted spectral problem in L2(R). Web20 Oct 2006 · Abstract. An inverse scattering method is developed for the Camassa–Holm equation. As an illustration of our approach the solutions corresponding to the …
Camassa–holm
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Web几类非线性色散偏微分方程的研究 WebIn this paper, we provide a blow-up mechanism to the modified Camassa-Holm equation with varying linear dispersion. We first consider the case when linear dispersion is absent and derive a finite-time blow-up result with an initial data having a region of mild oscillation.
WebIn this paper, we provide a blow-up mechanism to the modified Camassa-Holm equation with varying linear dispersion. We first consider the case when linear dispersion is absent … WebIn this paper, we study the periodic Cauchy problem for a mathematical model of the equatorial water waves propagating mainly in one direction with the weak Coriolis effect due to the Earth's rotation, which reduces to the Camassa-Holm equation as …
Web12 Apr 2024 · The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have continuous nonsmooth solitary wave solutions, such as peakons, stumpons, composite waves and even chaotic waves. In this paper an accurate semi-discrete conservative difference scheme … Web12 Apr 2024 · Considered herein is the periodic rotation-two-component Camassa-Holm system, which can be derived from the f-plane governing equations for the geophysical water waves with a constant underlying ...
WebAbstract This paper refines Johnso's implementation of Constantin's method for solving the Camassa–Holm equation for a multiple–soliton solution. An analytical formula for the q (y) and an explicit relation between x and y are found. An algorithm of …
WebWe prove a Liouville property for uniformly almost localized (up to translations) -global solutions of the Camassa-Holm equation with a momentum density that is a non negative finite measure. More precisely, we show th… california sfst trainingWebVariational quantum algorithm for measurement extraction from the Navier-Stokes, Einstein, Maxwell, B-type, Lin-Tsien, Camassa-Holm, DSW, Hunter-Saxton, KdV-B, non-homogeneous KdV, generalized... coastal woods homeowners associationWebAuthor: I D Iliev Publisher: CRC Press ISBN: 9780582239630 Category : Mathematics Languages : en Pages : 412 View. Book Description Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. coastal woods nsb flWeb2 Jul 2024 · The modified Camassa–Holm (mCH) equation, a partial differential equation with cubic nonlinearity, reads as or equivalently where , . It seems that this equation first … california sexual harassment training penaltyWebSenior Scientist in Dynamics Research at Met Office Exeter, England, United Kingdom 41 followers 41 connections Join to view profile Met Office Imperial College London About I am a scientist in the... california sexual harassment new law 2019WebWell-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system Professor Hongjun Gao, School of Mathematics, Southeast University, Nanjing Abstract：We study the global well-posedness and wave-breaking phenomenon for the stochastic rotation-two-component Camassa-Holm (R2CH) system. First, we find a … coastal woodworking incThe Camassa–Holm equation can be written as the system of equations: $${\displaystyle {\begin{aligned}u_{t}+uu_{x}+p_{x}&=0,\\p-p_{xx}&=2\kappa u+u^{2}+{\frac {1}{2}}\left(u_{x}\right)^{2},\end{aligned}}}… In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation The equation was introduced by Roberto Camassa and See more Introducing the momentum m as $${\displaystyle m=u-u_{xx}+\kappa ,\,}$$ then two compatible Hamiltonian descriptions of the Camassa–Holm equation are: See more Traveling waves are solutions of the form $${\displaystyle u(t,x)=f(x-ct)\,}$$ representing waves of permanent shape f that propagate at constant speed c. These waves are called … See more In the spatially periodic case, the Camassa–Holm equation can be given the following geometric interpretation. The group $${\displaystyle \mathrm {Diff} (S^{1})}$$ See more The Camassa–Holm equation is an integrable system. Integrability means that there is a change of variables (action-angle variables) such that the evolution equation in the new variables is equivalent to a linear flow at constant speed. This change of variables … See more The Camassa–Holm equation models breaking waves: a smooth initial profile with sufficient decay at infinity develops into either a wave that exists for all times or into a breaking wave (wave breaking being characterized by the fact that the solution remains … See more • Degasperis–Procesi equation • Hunter–Saxton equation See more california sgip battery