LEADER 03774nam 22006375 450 001 9910337871903321 005 20200702075847.0 010 $a3-030-11839-8 024 7 $a10.1007/978-3-030-11839-6 035 $a(CKB)4100000007746672 035 $a(MiAaPQ)EBC5720204 035 $a(DE-He213)978-3-030-11839-6 035 $a(PPN)235005290 035 $a(EXLCZ)994100000007746672 100 $a20190226d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Dynamical Perspective on the ?4 Model $ePast, Present and Future /$fedited by Panayotis G. Kevrekidis, Jesús Cuevas-Maraver 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (328 pages) 225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v26 311 $a3-030-11838-X 327 $aHistorical Perspectives of \phi^4 Model -- Some Recent Developments on Kink Collisions -- Statistical Mechanics and Stochastic Aspects of \phi^4 Models -- Discrete Variants of \phi^4 Model -- Discrete Breathers in \phi^4 and Related Models -- \phi^4 Breathers: History and Recent Developments -- Decay of Bions in \phi^4 Models -- \phi^4 Model with a Potential -- \phi^4 Model in Higher Dimensions -- Beyond the \phi^4 Model: \phi^6, \phi^8, etc. . 330 $aThis book presents a careful selection of the most important developments of the ?4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the ?4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of ?4 (and ?6 ,?8 ,?12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves. . 410 0$aNonlinear Systems and Complexity,$x2195-9994 ;$v26 606 $aPhysics 606 $aMathematical physics 606 $aSolid state physics 606 $aEngineering mathematics 606 $aStatistical physics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aSolid state physics. 615 0$aEngineering mathematics. 615 0$aStatistical physics. 615 14$aMathematical Methods in Physics. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aSolid State Physics. 615 24$aEngineering Mathematics. 615 24$aStatistical Physics and Dynamical Systems. 676 $a531.113301515355 702 $aKevrekidis$b Panayotis G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCuevas-Maraver$b Jesús$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910337871903321 996 $aA Dynamical Perspective on the ?4 Model$92518606 997 $aUNINA