Green’s functions for nonlinear Klein–Gordon kink perturbation theory

DOI10.1063/1.527468zbMath0663.35075OpenAlexW2094643410MaRDI QIDQ3812667

R. J. Flesch, S. E. Trullinger

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527468

zbMATH Keywords

asymptotic behaviorperturbation theoryGreen's functionsperturbationsnonlinear wave equationLommel functionsnonlinear Klein- Gordon theoriesstatic kink waveform

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Dynamics of \(\phi^4\) kinks under various perturbations ⋮ Quantum reduplication of classical solitons ⋮ Integral representation for Bessel's functions of the first kind and Neumann series ⋮ On the curves of zeros of Lommel functions of two variables ⋮ Perturbation of a solitary wave of the nonlinear Klein-Gordon equation

Cites Work

• Asymptotic representation of lommel functions of two real variables

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