1 resultado para Equation of Motion
em Nottingham eTheses
Filtro por publicador
- ABACUS. Repositorio de Producción Científica - Universidad Europea (1)
- AMS Tesi di Dottorato - Alm@DL - Università di Bologna (5)
- Aquatic Commons (4)
- ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha (6)
- Archive of European Integration (1)
- Archivo Digital para la Docencia y la Investigación - Repositorio Institucional de la Universidad del País Vasco (1)
- Aston University Research Archive (10)
- Biblioteca de Teses e Dissertações da USP (2)
- Biblioteca Digital da Produção Intelectual da Universidade de São Paulo (21)
- Biblioteca Digital da Produção Intelectual da Universidade de São Paulo (BDPI/USP) (14)
- Biblioteca Digital de Teses e Dissertações Eletrônicas da UERJ (3)
- BORIS: Bern Open Repository and Information System - Berna - Suiça (20)
- Boston University Digital Common (11)
- Brock University, Canada (8)
- Bucknell University Digital Commons - Pensilvania - USA (2)
- Bulgarian Digital Mathematics Library at IMI-BAS (5)
- CaltechTHESIS (27)
- Cambridge University Engineering Department Publications Database (31)
- CentAUR: Central Archive University of Reading - UK (73)
- Chinese Academy of Sciences Institutional Repositories Grid Portal (138)
- Cochin University of Science & Technology (CUSAT), India (5)
- CORA - Cork Open Research Archive - University College Cork - Ireland (1)
- Deakin Research Online - Australia (50)
- DI-fusion - The institutional repository of Université Libre de Bruxelles (1)
- Digital Commons - Michigan Tech (2)
- Digital Commons at Florida International University (5)
- Digital Peer Publishing (1)
- DigitalCommons@University of Nebraska - Lincoln (2)
- Diposit Digital de la UB - Universidade de Barcelona (3)
- DRUM (Digital Repository at the University of Maryland) (3)
- Duke University (4)
- eResearch Archive - Queensland Department of Agriculture; Fisheries and Forestry (1)
- Greenwich Academic Literature Archive - UK (5)
- Helda - Digital Repository of University of Helsinki (4)
- Indian Institute of Science - Bangalore - Índia (142)
- Institutional Repository of Leibniz University Hannover (2)
- Instituto Politécnico do Porto, Portugal (1)
- Massachusetts Institute of Technology (9)
- Memorial University Research Repository (1)
- National Aerospace Laboratory (NLR) Reports Repository (1)
- National Center for Biotechnology Information - NCBI (4)
- Nottingham eTheses (1)
- Publishing Network for Geoscientific & Environmental Data (4)
- QUB Research Portal - Research Directory and Institutional Repository for Queen's University Belfast (53)
- Queensland University of Technology - ePrints Archive (86)
- Repositório Científico do Instituto Politécnico de Lisboa - Portugal (2)
- Repositório digital da Fundação Getúlio Vargas - FGV (1)
- Repositório Institucional da Universidade de Aveiro - Portugal (1)
- Repositório Institucional da Universidade Federal de São Paulo - UNIFESP (1)
- Repositório Institucional UNESP - Universidade Estadual Paulista "Julio de Mesquita Filho" (137)
- RUN (Repositório da Universidade Nova de Lisboa) - FCT (Faculdade de Cienecias e Technologia), Universidade Nova de Lisboa (UNL), Portugal (1)
- Universidad del Rosario, Colombia (1)
- Universidad Politécnica de Madrid (9)
- Universidade Complutense de Madrid (3)
- Universidade de Lisboa - Repositório Aberto (1)
- Universidade Federal do Pará (3)
- Universidade Federal do Rio Grande do Norte (UFRN) (4)
- Universitat de Girona, Spain (2)
- Universitätsbibliothek Kassel, Universität Kassel, Germany (3)
- Université de Lausanne, Switzerland (1)
- Université de Montréal, Canada (2)
- University of Connecticut - USA (1)
- University of Michigan (12)
- University of Queensland eSpace - Australia (14)
- University of Washington (4)
- WestminsterResearch - UK (2)
Resumo:
We find approximations to travelling breather solutions of the one-dimensional Fermi-Pasta-Ulam (FPU) lattice. Both bright breather and dark breather solutions are found. We find that the existence of localised (bright) solutions depends upon the coefficients of cubic and quartic terms of the potential energy, generalising an earlier inequality derived by James [CR Acad Sci Paris 332, 581, (2001)]. We use the method of multiple scales to reduce the equations of motion for the lattice to a nonlinear Schr{\"o}dinger equation at leading order and hence construct an asymptotic form for the breather. We show that in the absence of a cubic potential energy term, the lattice supports combined breathing-kink waveforms. The amplitude of breathing-kinks can be arbitrarily small, as opposed to traditional monotone kinks, which have a nonzero minimum amplitude in such systems. We also present numerical simulations of the lattice, verifying the shape and velocity of the travelling waveforms, and confirming the long-lived nature of all such modes.