Pseudo-spectral Fourier method as applied to finding localized spherical soliton solutions of \((3 + 1)\)-dimensional Klein-Gordon equations

DOI10.1134/S0965542516090049zbMath1362.35077OpenAlexW2524559444MaRDI QIDQ519697

R. K. Salimov, Evgenii G. Ekomasov

Publication date: 5 April 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542516090049

zbMATH Keywords

potential welllogarithmic potentialsfractional powerbreatherpulson

Mathematics Subject Classification ID

Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
• Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity
• Kink-soliton explosions in generalized Klein-Gordon equations
• New exact solutions for the sine-Gordon equation in 2+1 dimensions
• Instability of coherent states of a real scalar field
• On radial sine-Gordon breathers
• Perturbed soliton solutions of the sine-Gordon equation

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