A numerical direct scattering method for the periodic sine-Gordon equation

We propose a procedure for computing the direct scattering transform of the periodic sine-Gordon equation. This procedure, previously used within the periodic Korteweg–de Vries equation framework, is implemented for the case of the sine-Gordon equation and is validated numerically. In particular, we...

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Veröffentlicht in:	European physical journal plus 2023-12, Vol.138 (12), p.1146, Article 1146
Hauptverfasser:	Novkoski, Filip, Falcon, Eric, Pham, Chi-Tuong
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Amplitudes Applied and Technical Physics Atomic Boundary conditions Breathers Complex Systems Condensed Matter Physics Eigenvalues Exactly Solvable and Integrable Systems Focus Point on Nonlinear Physics Advances Mathematical and Computational Physics Molecular Nonlinear Sciences Optical and Plasma Physics Partial differential equations Pattern Formation and Solitons Physics Physics and Astronomy Regular Article S matrix theory Solitary waves Spectral signatures Theoretical Topology
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