A high-order nonlinear Schrödinger equation as a variational problem for the averaged Lagrangian of the nonlinear Klein–Gordon equation
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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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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
Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass
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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