Rayleigh-Ritz approximation for the stability of localised waves

Rahmi Rusin, Hadi Susanto

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationProceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019
Subtitle of host publicationDeepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
EditorsHerni Utami, Fajar Adi Kusumo, Nanang Susyanto, Yeni Susanti
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419438
DOIs
Publication statusPublished - 19 Dec 2019
Event8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations - Yogyakarta, Indonesia
Duration: 29 Jul 20191 Aug 2019

Publication series

NameAIP Conference Proceedings
Volume2192
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
CountryIndonesia
CityYogyakarta
Period29/07/191/08/19

Keywords

  • solitons
  • spectrum
  • variational approximation
  • φ-equation

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