Abstract
A numerical experiment and an analytical calculation are made to study self-localized modes for the displacement field of a pure one-dimensional lattice with hard quartic anharmonicity. Approximate analytical solutions are obtained for moving localized modes with eigenfrequencies above the top of the harmonic frequency band. The envelope of the displacement field itself is of the form of the conventional sech function, depending on the wave vector of carrier waves. By using approximate analytical solutions as input, numerical experiments are made to explore the space-time evolution of the localized modes by taking the localized mode height and the wave vector of carrier waves as parameters. It is shown that the moving localized modes obtained here are identifiable as lattice solitons under favorable conditions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
