@inproceedings{93fa21d140ba421a99fd7528cf38ed61,
title = "Rayleigh-Ritz approximation for the stability of localised waves",
abstract = "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.",
keywords = "solitons, spectrum, variational approximation, φ-equation",
author = "Rahmi Rusin and Hadi Susanto",
note = "Funding Information: R.R. gratefully acknowledges financial support from Lembaga Pengelolaan Dana Pendidikan (Indonesia Endowment Fund for Education), Grant Ref. No: S-5405/LPDP.3/2015. The authors contribute equally to the manuscript. Publisher Copyright: {\textcopyright} 2019 Author(s).; 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations ; Conference date: 29-07-2019 Through 01-08-2019",
year = "2019",
month = dec,
day = "19",
doi = "10.1063/1.5139162",
language = "British English",
series = "AIP Conference Proceedings",
editor = "Herni Utami and Kusumo, {Fajar Adi} and Nanang Susyanto and Yeni Susanti",
booktitle = "Proceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019",
}