Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Alon Zilburg"'
Autor:
Alon Zilburg, Philip Rosenau
Publikováno v:
Physics Letters A. 383:991-996
Exploiting the finite span of compactons we use the K ( m , n ) Equation to develop an approximate description of early and late stages of their interaction.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c4303764ad04a44e90819e7ae4727cc
https://doi.org/10.1016/j.physleta.2018.12.033
https://doi.org/10.1016/j.physleta.2018.12.033
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Nonlinearity. 31:2651-2665
Using a priori estimates we prove that initially nonnegative, smooth and compactly supported solutions of the equations must lose their smoothness within a finite time. Formation of a singularity is a prerequisite for the subsequent emergence of comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e13e6fdc1233ed5d1e12ea269af251e
https://doi.org/10.1088/1361-6544/aab58b
https://doi.org/10.1088/1361-6544/aab58b
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Physics Letters A. 381:3558-3567
Using a Lotka–Volterra type system on a hexagonal lattice we derive and study a novel, strongly nonlinear dispersive equation u t = ∂ x ( u + Δ u ) n , n > 1 , the n-Cubic equation, which supports the formation and propagation of planar compacto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd8ff5b93089dabf65ff437614412e53
https://doi.org/10.1016/j.physleta.2017.09.011
https://doi.org/10.1016/j.physleta.2017.09.011
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Physics Letters A. 381:1557-1562
In this letter we re-address a class of genuinely nonlinear third order dispersive equations; C 1 ( m , a , b ) : u t + ( u m ) x + 1 b [ u a ( u b ) x x ] x = 0 , which among other solitary structures admit compactons, and demonstrate that certain s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98ecda2f3ab0bd174fba4a8b51f14f40
https://doi.org/10.1016/j.physleta.2017.03.009
https://doi.org/10.1016/j.physleta.2017.03.009
Autor:
Alon Zilburg, Philip Rosenau
Publikováno v:
Physics Letters A. 381:87-93
We present two improved quasi-continuous models of dense, strictly anharmonic chains. The direct expansion which includes the leading effect due to lattice dispersion, results in a Boussinesq-type PDE with a compacton as its basic solitary mode. With
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e2b3bc7ad220971ea9f64925e4581eb
https://doi.org/10.1016/j.physleta.2016.10.051
https://doi.org/10.1016/j.physleta.2016.10.051
Autor:
Alon Zilburg, Philip Rosenau
Publikováno v:
Physics Letters A. 380:2724-2737
A third order dispersive equation u t + ( u m ) x + 1 b [ u a ∇ 2 u b ] x = 0 is used to explore two very different classes of compact patterns. In the first, the prevailing singularity at the edge induces traveling compactons, solitary waves with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fcabbe7d801ce6ecc2dacd5b1be2f41d
https://doi.org/10.1016/j.physleta.2016.06.040
https://doi.org/10.1016/j.physleta.2016.06.040
Autor:
Alon Zilburg, Philip Rosenau
Publikováno v:
Physics Letters A. 379:2811-2816
A Klein–Gordon model on a chain or a rectangular lattice endowed with cubic inter-site and on-site forces is presented. It supports a plethora of strictly compact stable discrete breathers which are pinned at all times to their initial support. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2e336e5d8c58e9aecb557f447fce3ce
https://doi.org/10.1016/j.physleta.2015.09.012
https://doi.org/10.1016/j.physleta.2015.09.012
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 51:395201
As though to compensate for the rarity of multidimensional integrable systems, non-integrable spatial extensions of many of the well known dispersive equations on the line exhibit a remarkable variety of solitary patterns unavailable in 1D. In the pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73ae1ac87607d4b119a83404c0295242
https://doi.org/10.1088/1751-8121/aad874
https://doi.org/10.1088/1751-8121/aad874
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 51:343001
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b57d8088986733add1345beff614a235
https://doi.org/10.1088/1751-8121/aabff5
https://doi.org/10.1088/1751-8121/aabff5
Autor:
Philip Rosenau, Alon Zilburg
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 49:095101
We present and study a class of Lotka–Volterra chains with symmetric -neighbors interactions. To identify the types of solitary waves which may propagate along the chain, we study their quasi-continuum approximations which, depending on the couplin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f84e339774a0461ab6087b8d6a1534c
https://doi.org/10.1088/1751-8113/49/9/095101
https://doi.org/10.1088/1751-8113/49/9/095101