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   Articles with "nonlinear klein" as a keyword



A high-order nonlinear Schrödinger equation as a variational problem for the averaged Lagrangian of the nonlinear Klein–Gordon equation

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recommendations! Published in 2019 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-019-05197-x

Abstract: We use Whitham’s averaged Lagrangian method extended with the multiple-scale formalism to derive a sixth-order nonlinear Schrodinger equation for the complex amplitude of the envelope of the slowly modulated wave trains whose evolution is governed… read more here.

Keywords: nonlinear klein; gordon equation; klein gordon; equation ... See more keywords

Dynamical Behavior of Singular Traveling Waves of ($$\hbox {n}+1$$n+1)-Dimensional Nonlinear Klein-Gordon Equation

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recommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"

DOI: 10.1007/s12346-018-0285-0

Abstract: This work researches the singular traveling wave system of the ($$\hbox {n}+1$$n+1)-dimensional nonlinear Klein-Gordon equation via the bifurcation theory of dynamical systems. The bifurcations and phase portraits of the traveling wave system are investigated and… read more here.

Keywords: singular traveling; hbox dimensional; klein gordon; dimensional nonlinear ... See more keywords

Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential

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recommendations! Published in 2025 at "Nonlinearity"

DOI: 10.1088/1361-6544/ae0b25

Abstract: In this paper, we study whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential or Maryland potential. Remarkably, nonlinear Klein–Gordon chains not only lose gauge invariance of the perturbation, but also they have infinite… read more here.

Keywords: quasi periodic; periodic breathers; whiskered quasi; nonlinear klein ... See more keywords
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Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass

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recommendations! Published in 2020 at "JETP Letters"

DOI: 10.1134/s002136402003011x

Abstract: A system consisting of material particles and a field is studied. The latter is described by the nonlinear Klein—Gordon equation. A modified Klein—Gordon equation, which allows the solutions of the Klein—Gordon equation with both zero… read more here.

Keywords: gordon equation; localized solutions; klein gordon; nonlinear klein ... See more keywords