Large time asymptotics for the Grinevich–Zakharov potentials
نویسندگان
چکیده
In this article we show that the large time asymptotics for the Grinevich–Zakharov rational solutions of the Novikov–Veselov equation at positive energy (an analog of KdV in 2 + 1 dimensions) is given by a finite sum of localized travel waves (solitons).
منابع مشابه
Asymptotics for the infinite time ruin probability of a dependent risk model with a constant interest rate and dominatedly varying-tailed claim sizes
This paper mainly considers a nonstandard risk model with a constant interest rate, where both the claim sizes and the inter-arrival times follow some certain dependence structures. When the claim sizes are dominatedly varying-tailed, asymptotics for the infinite time ruin probability of the above dependent risk model have been given.
متن کاملLarge-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential
In this work, we use scattering method to study the Kramers-FokkerPlanck equation with a potential whose gradient tends to zero at the infinity. For short-range potentials in dimension three, we show that complex eigenvalues do not accumulate at low-energies and establish the low-energy resolvent asymptotics. This combined with high energy pseudospectral estimates valid in more general situatio...
متن کاملDensity of finite gap potentials for the Zakharov–Shabat system
For various spaces of potentials we prove that the set of finite gap potentials of the ZakharovShabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type. Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-21875 Originally published at: Grébert, B; Kappeler, T (2003). D...
متن کاملInfrared Effects and the Asymptotics of Perturbation Theory in Weak Decays of Heavy Particles
I discuss the interplay of infrared sensitivity in large order perturbative expansions with the presence of explicit nonperturbative corrections in the context of heavy quark expansions. The main focus is on inclusive decays and the status of the kinetic energy of the heavy quark. This talk summarizes work done with Braun and Zakharov.
متن کاملSolution of the fractional Zakharov-Kuznetsov equations by reduced dierential transform method
In this paper an approximate analytical solution of the fractional Zakharov-Kuznetsov equations will be obtained with the help of the reduced differential transform method (RDTM). It is in-dicated that the solutions obtained by the RDTM are reliable and present an effective method for strongly nonlinear fractional partial differential equations.
متن کامل