Composite-kink solutions of coupled nonlinear wave equations

Hosho Katsura

doi:10.1103/physrevd.89.085019

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arXiv · 1312.4263

Composite-kink solutions of coupled nonlinear wave equations

Hosho Katsura

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Abstract

We obtain exact traveling-wave solutions of the coupled nonlinear partial differential equations that describe the dynamics of two classical scalar fields in 1+1 dimensions. The solutions are kinks interpolating between neighboring vacua. We compute the classical kink mass and show that it saturates a Bogomol'nyi-type bound. We also present exact traveling-wave solutions of a more general class of models. Examples include coupled $ϕ^4$ and sine-Gordon models.

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nlin.PS cond-mat.str-el hep-th

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Hosho Katsura. 2014-03-27. Composite-kink solutions of coupled nonlinear wave equations. https://doi.org/10.1103/physrevd.89.085019

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