Rayleigh-Ritz approximation for the stability of localised waves
Informasi
JurnalAIP Conference Proceedings, 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
PenerbitAmerican Institute of Physics Inc.
Volume & EdisiVol. 2192
Halaman -
Tahun Publikasi2019
ISSN0094243X
ISBN978-073541943-8
Jenis SumberScopus
Abstrak
We consider fundamental localised waves of the φ4 equation. Using the variational principle, i.e., Rayleigh-Ritz method, we solve the corresponding eigenvalue problem of the waves and compute spectrum of the linear spectral operator. By comparing with numerical computations, we show that our approximation has better agreement than existing results in a wide range of coupling constant. © 2019 Author(s).
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