Zobrazeno 1 - 10
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pro vyhledávání: '"Philip Rosenau"'
Autor:
Philip Rosenau
Publikováno v:
Axioms, Vol 12, Iss 1, p 2 (2022)
It is shown that a simple modification of the standard Lagrangian underlying the dynamics of Newtonian lattices enables one to infer the hidden Lagrangian structure of certain classes of first order in time evolution equations which lack the conventi
Externí odkaz:
https://doaj.org/article/377fbdb1a84f4fc2b9c732f4a6691389
Publikováno v:
Nonlinear Theory of Generalized Functions ISBN: 9780203745458
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2af5b7ae0785d4285f6435fa2262c0c6
https://doi.org/10.1201/9780203745458-11
https://doi.org/10.1201/9780203745458-11
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, Alexander Oron
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 110:106384
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a97afb02853e5c59ccd40968bdd77820
https://doi.org/10.1016/j.cnsns.2022.106384
https://doi.org/10.1016/j.cnsns.2022.106384
Autor:
Arkady Pikovsky, Philip Rosenau
Publikováno v:
Chaos (Woodbury, N.Y.). 30(5)
In the present paper, we study phase waves of self-sustained oscillators with a nearest-neighbor dispersive coupling on an infinite lattice. To analyze the underlying dynamics, we approximate the lattice with a quasi-continuum (QC). The resulting par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffff224369021867a90973d02b20049b
https://pubmed.ncbi.nlm.nih.gov/32491900
https://pubmed.ncbi.nlm.nih.gov/32491900
Autor:
Philip Rosenau, Alexander Oron
In both the Gardner equation and its extensions, the non-convex convection bounds the range of solitons / compactons velocities beyond which they dissolve and kink/anti-kink form. Close to solitons barrier we unfold a narrow strip of velocities where
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bbd253fd414b29b7f4c63abb3d8c1d5
Autor:
Philip Rosenau, Arkady Pikovsky
We introduce and study a family of lattice equations which may be viewed either as a strongly nonlinear discrete extension of the Gardner equation, or a non-convex variant of the Lotka–Volterra chain. Their deceptively simple form supports a very r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a7601f183089fd35e765b61f2071d60
Autor:
Philip Rosenau
Publikováno v:
Wave Motion. 110:102881
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b91be8a29d8864a1549a6de5fef35295
https://doi.org/10.1016/j.wavemoti.2022.102881
https://doi.org/10.1016/j.wavemoti.2022.102881
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
Publikováno v:
Physica D: Nonlinear Phenomena. 425:132956
We introduce gradient-tempered Ginzburg-Landau, GL, free energy functional J = ∫ ( G ( u x ) − W ( u ) ) d x , where W ( u ) = λ 2 ( 2 u 2 − u 4 ) is the bulk energy endowed with a stiffness coefficient a 2 ( u ) which vanishes both at the pha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43ab54ea41845fbf77a230b59b98677d
https://doi.org/10.1016/j.physd.2021.132956
https://doi.org/10.1016/j.physd.2021.132956