+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Moving nonradiating kinks in nonlocal φ4 and φ4-φ6 models

, : Moving nonradiating kinks in nonlocal φ4 and φ4-φ6 models. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 84(5 Pt 2): 056606-056606

We explore the existence of moving nonradiating kinks in nonlocal generalizations of φ(4) and φ(4)-φ(6) models. These models are described by nonlocal nonlinear Klein-Gordon equation, u(tt)-Lu+F(u)=0, where L is a Fourier multiplier operator of a specific form and F(u) includes either just a cubic term (φ(4) case) or cubic and quintic (φ(4)-φ(6) case) terms. The general mechanism responsible for the discretization of kink velocities in the nonlocal model is discussed. We report numerical results obtained for these models. It is shown that, contrary to the traditional φ(4) model, the nonlocal φ(4) model does not admit moving nonradiating kinks but admits solitary waves that do not exist in the local model. At the same time the nonlocal φ(4)-φ(6) model describes moving nonradiating kinks. The set of velocities allowed for these kinks is discrete with the highest possible velocity c(1). This set of velocities is unambiguously determined by the parameters of the model. Numerical simulations show that a kink launched at the velocity c higher than c(1) starts to decelerate, and its velocity settles down to the highest value of the discrete spectrum c(1).


PMID: 22181535

DOI: 10.1103/PhysRevE.84.056606

Other references

Pearl, A.J., 1980: Heat and physical activity. Journal of the Florida Medical Association 67(4): 396-398

Bittner, A., 1978: The art of keeping bees in the vicinity of human settlements. Biene 114 (4) 137-138

Klimek R.; Paradysz A., 5500: Comparison of the results of the metopirone and water salt tests in neuro endocrinologic disorders. Polish Endocrinology (English Translation of Endokrynologia Polska) TT: 1970, 1970

Festa Vincenzo; D.B.ttista Patrizia; Caggianelli Alfredo; Liotta Domenico, 2003: Exhumation and tilting of the late Hercynian continental crust in the Serre Massif (southern Calabria, Italy). In the Serre Massif (Calabria-Peloritani Arc) a nearly complete tilted section of the Hercynian continental crust is exposed. The upper levels crop out in the Stilo area (southeastern Serre) and they consist of very low- to low-grade metamorphic p...

Moser T.J., 1997: Influence of realistic backgrounds on the validity and performance of ray/ Born inversion. Journal of Seismic Exploration 6(2-3): 239-252

Juma N.G.; Tabatabai M.A., 1988: Hydrolysis of organic phosphates by corn and soybean roots. Because of the importance of organic phosphates as sources of P for plants, this work was performed to study the hydrolysis of nine organic phosphates by sterile, intact corn (Zea mays L.) and soybean (Glycine max L.) roots. Results showed that th...

Kumaresan, P.R.; Lai, W.C.; Chuang, S.S.; Bennett, M.; Mathew, P.A., 2002: CS1, a novel member of the CD2 family, is homophilic and regulates NK cell function. CS1 is a novel member of the CD2 subset of immunoglobulin superfamily (IgSF) expressed on NK, T and stimulated B cells. The cytoplasmic domain of CS1 contains immunoreceptor tyrosine-based switch motif (ITSM) which is present in 2B4, SLAM and CD84...

Caldwell, R.W.; Heiffer, M.H.; Herman, E.H., 1972: The cardiovascular actions of WR-149,024 (1,18-diamino-7,13-diaza-9,10-dithiaoctadecane tetrahydrochloride). 1. The general cardiovascular properties of WR-149,024 (a straight chain sulphur-containing aliphatic amine) in dogs and cats are reported.2. Intravenous administration of this compound produced an immediate hypotension and bradycardia in intact a...

Kessel, A.; Buckley, E.; Duncan, H.; Cooper, M.A., 2014: Public Health England 2013 conference: highlights and looking ahead. Public Health 128(8): 683-685

Klein, B.S., 1990: North American blastomycosis. Treatment of Blastomyces dermatitidis infections, particularly with amphotericin B, ketoconazole and itraconazole, is discussed.